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Keywords = faster-than-Nyquist

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16 pages, 3467 KiB  
Article
Decision Feedback Equalization-Based Low-Complexity Interference Cancellation and Signal Detection Technique Based for Non-Orthogonal Signaling
by Myung-Sun Baek and Hyoung-Kyu Song
Mathematics 2024, 12(23), 3853; https://doi.org/10.3390/math12233853 - 7 Dec 2024
Viewed by 424
Abstract
FTN signalling is an effective communication method that achieves a high spectral efficiency. However, employing a symbol rate faster than the Nyquist rate disrupts the orthogonality between symbols, leading to unavoidable inter-symbol interference (ISI). To mitigate the effects of ISI, interference cancellation and [...] Read more.
FTN signalling is an effective communication method that achieves a high spectral efficiency. However, employing a symbol rate faster than the Nyquist rate disrupts the orthogonality between symbols, leading to unavoidable inter-symbol interference (ISI). To mitigate the effects of ISI, interference cancellation and signal detection processes are essential for FTN receivers. Conventional ISI reduction techniques often utilize trellis-based algorithms. However, as the number of states increases due to additional interference symbols, the complexity of these algorithms grows exponentially. To address this challenge, this paper explores a matrix computation-based interference cancellation technique tailored for FTN communication systems, aiming to significantly reduce the complexity of the ISI mitigation process. To execute ISI cancellation and signal detection more precisely, the proposed technique includes iterative interference cancellation and a signal detection process. When six interference symbols are considered, the complexity of the proposed technique is reduced by 97% compared with that of the conventional Viterbi algorithm. Furthermore, in the case of τ = 0.85, the performance of the proposed technique is about 1 dB better than that of the Viterbi algorithm at BER = 104. Full article
(This article belongs to the Section Engineering Mathematics)
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<p>Signal comparison between Nyquist rate and FTN.</p>
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<p>BER performance of FTN system with overall matrix computation.</p>
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<p>FTN signal model with <span class="html-italic">L</span> = 9, <span class="html-italic">C</span> = 3, <span class="html-italic">N</span> = 2 and <span class="html-italic">M</span> = 3.</p>
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<p>BER performance of FTN-based system with <span class="html-italic">τ</span> = 0.9.</p>
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<p>BER performance of FTN-based system with <span class="html-italic">τ</span> = 0.85.</p>
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<p>BER performance of FTN-based system with <span class="html-italic">τ</span> = 0.8.</p>
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<p>BER performance according to the values of matrix size <span class="html-italic">C</span> for the proposed scheme.</p>
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<p>BER performance of FTN-based system with post interference cancellation.</p>
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14 pages, 4275 KiB  
Article
Physical Layer Security Based on Non-Orthogonal Communication Technique with Coded FTN Signaling
by Myung-Sun Baek and Hyoung-Kyu Song
Mathematics 2024, 12(23), 3800; https://doi.org/10.3390/math12233800 - 30 Nov 2024
Viewed by 492
Abstract
In recent years, ensuring communication security at the physical layer has become increasingly important due to the transmission of sensitive information over various networks. Traditional approaches to physical layer security often rely on artificial noise generation, which may not offer robust solutions against [...] Read more.
In recent years, ensuring communication security at the physical layer has become increasingly important due to the transmission of sensitive information over various networks. Traditional approaches to physical layer security often rely on artificial noise generation, which may not offer robust solutions against advanced interception techniques. This study addresses these limitations by proposing a novel security technique based on non-orthogonal signaling using Faster-than-Nyquist (FTN) signaling. Unlike conventional FTN methods that utilize fixed symbol intervals, the proposed technique employs variable symbol intervals encoded as secure information, shared only with legitimate receivers. This encoding enables effective interference cancellation and symbol detection at the receiver, while preventing eavesdroppers from deciphering transmitted signals. The performance of the proposed technique was evaluated using the DVB-S2X system, a practical digital video broadcasting standard. Simulation results demonstrated that the proposed method maintains smooth communication with minimal performance degradation compared to traditional methods. Furthermore, eavesdroppers were unable to decode the transmitted signals, confirming the enhanced security. This research presents a new approach to physical layer security that does not depend on generating artificial noise, offering a path to more secure and efficient communication systems. Full article
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<p>Signal wave comparison between general communication and FTN signaling.</p>
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<p>Comparison between general FTN signaling and coded FTN signaling.</p>
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<p>Conceptual diagram for block-wise coded FTN and variable-length block-wise coded FTN signaling.</p>
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<p>Block/flow diagram of the proposed technique.</p>
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<p>DVB-S2X System with Coded FTN signaling.</p>
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<p>BER performances of symbol-wise coded FTN signaling and block-wise coded FTN signaling in DVB-S2X system with 16-QAM.</p>
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<p>BER performances of symbol-wise coded FTN signaling and block-wise coded FTN signaling in DVB-S2X system with QPSK.</p>
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<p>BER performance of variable-length block-wise coded FTN signaling in DVB-S2X system with 16-QAM.</p>
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<p>BER performance of variable-length block-wise coded FTN signaling in DVB-S2X system with QPSK.</p>
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<p>PAPR performance of DVB-S2 system with 16QAM according to <span class="html-italic">τ</span> values.</p>
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16 pages, 5588 KiB  
Article
Enhanced Carrier Phase Recovery Using Dual Pilot Tones in Faster-than-Nyquist Optical Transmission Systems
by Jialin You, Tao Yang, Yuchen Zhang and Xue Chen
Photonics 2024, 11(11), 1048; https://doi.org/10.3390/photonics11111048 - 7 Nov 2024
Viewed by 645
Abstract
Compared with high spectrum efficiency faster-than-Nyquist (FTN) backbone network, an enhanced carrier phase recovery based on dual pilot tones is more sensitive to capital cost in FTN metropolitan areas as well as inter-datacenter optical networks. The use of distributed feedback (DFB) lasers is [...] Read more.
Compared with high spectrum efficiency faster-than-Nyquist (FTN) backbone network, an enhanced carrier phase recovery based on dual pilot tones is more sensitive to capital cost in FTN metropolitan areas as well as inter-datacenter optical networks. The use of distributed feedback (DFB) lasers is a way to effectively reduce the cost. However, under high symbol rate FTN systems, equalization-enhanced phase noise (EEPN) induced by a DFB laser with large linewidth will significantly deteriorate the system performance. What is worse, in FTN systems, tight filtering introduces inter-symbol interference so severe that the carrier phase estimation (CPE) algorithm of the FTN systems is more sensitive to EEPN, thus it will lead to a more serious cycle slip problem. In this paper, an enhanced carrier phase recovery based on dual pilot tones is proposed to mitigate EEPN and suppress cycle slip, in which the chromatic dispersion (CD)-aware Tx and LO laser phase noise is estimated, respectively. Offline experiments results under 40 Gbaud polarization multiplexing (PM) 16-quadrature amplitude modulation (QAM) FTN wavelength division multiplexing (FTN-WDM) systems at 0.9 acceleration factor, 5 MHz laser linewidth, and 500 km transmission demonstrate that the proposed algorithm could bring about 0.65 dB improvement of the required SNR for the normalized generalized mutual information of 0.9 compared with the training sequence-based cycle slip suppression carrier phase estimation (TS-CSS) algorithm. Full article
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<p>The enhanced carrier phase recovery based on dual pilot tones in FTN systems. (<b>a</b>) Optical spectrum of pilot tones and payload. (<b>b</b>) The enhanced carrier phase recovery based on dual pilot tones.</p>
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<p>The effect of different EEPNs on the performance of the BPS algorithm.</p>
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<p>The MSE of high-frequency pilot tone and low-frequency pilot tone.</p>
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<p>The PSR vs. frequency of high-frequency pilot tone under (<b>a</b>) 1 MHz Tx/LO LLW and 300 km transmission; (<b>b</b>) 1 MHz Tx/LO LLW and 500 km transmission; (<b>c</b>) 5 MHz Tx/LO LLW and 300 km transmission; (<b>d</b>) 5 MHz Tx/LO LLW and 500 km transmission.</p>
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<p>Required SNR vs. the PSR of low-frequency pilot tone under (<b>a</b>) 1 MHz Tx/LO LLW; (<b>b</b>) 5 MHz Tx/LO LLW.</p>
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<p>Required SNR vs. pilot tone extraction bandwidth under (<b>a</b>) 1 MHz Tx/LO LLW; (<b>b</b>) 5 MHz Tx/LO LLW.</p>
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<p>(<b>a</b>) Required SNR improvement due to EEPN compensation vs. span number under 5 MHz Tx/LO LLW. (<b>b</b>) Required SNR vs. combined laser bandwidth under 500 km transmission.</p>
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<p>Offline experiment setup for 40 GBaud PM-16QAM FTN-WDM systems using proposed algorithm.</p>
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<p>The PSR vs. frequency of the high-frequency pilot tone under (<b>a</b>) 5 MHz Tx/LO LLW and 300 km transmission; (<b>b</b>) 5 MHz Tx/LO LLW and 500 km transmission.</p>
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<p>Required SNR vs. the PSR of low-frequency pilot tone under 5 MHz Tx/LO LLW.</p>
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<p>Required SNR vs. pilot tone extraction bandwidth under 5 MHz Tx/LO LLW.</p>
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<p>Required SNR improvement due to EEPN compensation vs. span number under 5 MHz Tx/LO LLW.</p>
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16 pages, 3824 KiB  
Article
A Hybrid Network Integrating MHSA and 1D CNN–Bi-LSTM for Interference Mitigation in Faster-than-Nyquist MIMO Optical Wireless Communications
by Minghua Cao, Qing Yang, Genxue Zhou, Yue Zhang, Xia Zhang and Huiqin Wang
Photonics 2024, 11(10), 982; https://doi.org/10.3390/photonics11100982 - 19 Oct 2024
Viewed by 881
Abstract
To mitigate inter-symbol interference (ISI) caused by Faster-than-Nyquist (FTN) technology in a multiple input multiple output (MIMO) optical wireless communication (OWC) system, we propose an ISI cancellation algorithm that combines multi-head self-attention (MHSA), a one-dimensional convolutional neural network (1D CNN), and bi-directional long [...] Read more.
To mitigate inter-symbol interference (ISI) caused by Faster-than-Nyquist (FTN) technology in a multiple input multiple output (MIMO) optical wireless communication (OWC) system, we propose an ISI cancellation algorithm that combines multi-head self-attention (MHSA), a one-dimensional convolutional neural network (1D CNN), and bi-directional long short-term memory (Bi-LSTM). This hybrid network extracts data features using 1D CNN and captures sequential information with Bi-LSTM, while incorporating MHSA to comprehensively reduce ISI. We analyze the impact of antenna numbers, acceleration factors, wavelength, and turbulence intensity on the system’s bit error rate (BER) performance. Additionally, we compare the waveform graphs and amplitude–frequency characteristics of FTN signals before and after processing, specifically comparing sampled values of four-pulse-amplitude modulation (4PAM) signals with those obtained after ISI cancellation. The simulation results demonstrate that within the Mazo limit for selecting acceleration factors, our proposal achieves a 7 dB improvement in BER compared to the conventional systems without deep learning (DL)-based ISI cancellation algorithms. Furthermore, compared to systems employing a point-by-point elimination adaptive pre-equalization algorithm, our proposal exhibits comparable BER performance to orthogonal transmission systems while reducing computational complexity by 31.15%. Full article
(This article belongs to the Special Issue Advanced Technologies in Optical Wireless Communications)
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<p>Schematic of MIMO-FTN-OWC system.</p>
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<p>The structure of 1D CNN (Different colors represent different filters).</p>
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<p>The structure of Bi-LSTM.</p>
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<p>Calculation process of the double-head self-attention mechanism.</p>
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<p>The structure of MHSA–1D CNN–Bi-LSTM network (Blue represents the input and output signals; purple represents the 1D-CNN; light yellow represents the normalization layer; green represents the Bi-LSTM network; red represents the multi-head self-attention mechanism layer; and orange represents the fully connected layer).</p>
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<p>Magnitude–frequency characteristics.</p>
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<p>Comparison of signal sampling values (<b>a</b>) 4PAM signals (<b>b</b>) FTN signals (<b>c</b>) signals after ISI cancellation.</p>
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<p>Relationship between BER and SNR for our proposal and orthogonal system (OTS refers to Orthogonal Transmission System).</p>
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<p>Relationship between BER and SNR under different numbers of antennas.</p>
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<p>Relationship between BER and SNR under different turbulence intensities.</p>
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<p>Relationship between BER and SNR under different laser wavelengths.</p>
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<p>Relationship between BER and SNR under different acceleration factors.</p>
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<p>Relationship between acceleration factor and BER.</p>
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23 pages, 1202 KiB  
Article
Energy Efficiency for Faster-than-Nyquist Data Transmission Using Processing Algorithms with Decision Feedback
by Wenjing Shang, Ilya Lavrenyuk, Sergey Makarov, Anna Ovsyannikova, Sergey Zavjalov, Dingfeng Yu and Wei Xue
Symmetry 2024, 16(8), 1001; https://doi.org/10.3390/sym16081001 - 6 Aug 2024
Cited by 1 | Viewed by 891
Abstract
One of the ways to increase the volume of transmitted information is to increase the bit rate above the Nyquist barrier. However, an increase in bit rate in the case of FTN (Faster-Than-Nyquist) signals leads to an increase in energy costs for receiving [...] Read more.
One of the ways to increase the volume of transmitted information is to increase the bit rate above the Nyquist barrier. However, an increase in bit rate in the case of FTN (Faster-Than-Nyquist) signals leads to an increase in energy costs for receiving information on channels with limited bandwidth, for example, in Digital Video Broadcasting satellite systems like DVB-S2/S2X. It is possible to minimize energy losses by using the processing algorithm “maximum likelihood sequence estimation”. However, the computational complexity of this algorithm is extremely high, which limits its use, especially in terrestrial mobile satellite terminals. We propose a new bit-by-bit decision feedback algorithm with maximum likelihood ratio estimation of subsequent symbols in the observation interval. This algorithm provides minimal energy costs comparable to the method “maximum likelihood sequence estimation” at speeds 2–3 times higher than the Nyquist barrier. At the same time, the complexity is two orders of magnitude less. It is shown by simulation for a channel with additive noise that energy losses in relation to the potential bit error rate (BER) are less than 4.5 dB. In the presence of Rayleigh fading, the application of the proposed algorithm makes it possible to provide the processing of FTN signals for double bit rates in urban areas with energy costs equal to 12 dB when using an equalizer. We give numerical estimations of the increase in computational complexity for the proposed processing algorithm. It is shown that an increase in the bit rate by 1.5 times leads to an increase in the computational complexity by more than an order of magnitude. The same conclusion can be reformulated in another form: for the proposed algorithm, each decibel of energy gain is achieved by increasing the number of computational operations by 1.5×105. It is experimentally shown that additional energy losses due to non-ideal phase and timing synchronization are no more than 1 dB when the proposed algorithm is applied in a fading channel. The energy costs in fading channels relative to a stationary channel for twice the Nyquist rate are equal to 13.8 dB when using an equalizer. Full article
(This article belongs to the Section Engineering and Materials)
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<p>Uncoded FTN signaling transceiver architecture.</p>
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<p>Possible realization of processing algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) for SDR.</p>
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<p>Possible realization of processing algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) for SDR.</p>
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<p>BER performance. Channel with constant parameters. Processing algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>).</p>
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<p>BER performance. Channel with constant parameters. Processing algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) in case of high rates.</p>
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<p>BER performance for different algorithms for <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>1.42</mn> <mo>/</mo> <mi>T</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>.</p>
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<p>BER performance. Rayleigh channel. Processing algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) in case of high rates.</p>
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<p>Energy efficiency vs. number of operations for algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>).</p>
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<p>Experimental setup.</p>
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<p>Signal sequence at the output of the transmitter (<b>a</b>) and spectral characteristics (<b>b</b>).</p>
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<p>Experimental BER performance for proposed algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>).</p>
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<p>Experimental BER performance for proposed algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) in multipath channel.</p>
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<p>Experimental BER performance for proposed algorithm (<a href="#FD9-symmetry-16-01001" class="html-disp-formula">9</a>) with increased bit rate in multipath channel.</p>
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15 pages, 4586 KiB  
Article
Improving the Conversion Ratio of QDSCs via the Passivation Effects of NiS
by Edson Leroy Meyer and Mojeed Adedoyin Agoro
Nanomaterials 2024, 14(11), 905; https://doi.org/10.3390/nano14110905 - 22 May 2024
Viewed by 1050
Abstract
To revolutionize the photochemical efficiency of quantum dots sensitized solar cells (QDSSCs) devices, herein, a passivation of the cells with multilayer material has been developed for heterojunctions TiO2/NiS/MnS/HI-30/Pt devices. In this study, NiS and MnS were deposited on a photoanode for [...] Read more.
To revolutionize the photochemical efficiency of quantum dots sensitized solar cells (QDSSCs) devices, herein, a passivation of the cells with multilayer material has been developed for heterojunctions TiO2/NiS/MnS/HI-30/Pt devices. In this study, NiS and MnS were deposited on a photoanode for the first time as passivated photon absorbers at room temperature. The adoption of NiS as a passisvative layer could tailor the active surface area and improve the photochemical properties of the newly modified cells. The vibrational shifts obtained from the Raman spectra imply that the energy change is influenced by the surface effect, giving rise to better electronic conductivity. The electrochemical stability and durability test for the N/M-3 device slows down and remains at 8.88% of its initial current after 3500 s, as compared to the N/M-1 device at 7.20%. The disparity in charge recombination implies that both the outer and inner parts of the nanoporous material are involved in the photogeneration reaction. The hybridized N/M-3 cell device reveals the highest current density with a low potential onset, indicating that power conversion occurs more easily because photons tend to be adsorbed easily on the surface of the MnS. The Nyquist plot for N/M-1 and N/M-3 promotes the faster transport of electrolytic ions across the TiO2/NiS/MnS, providing a good interaction for the electrolyte. The I-J Value of 9.94% shows that the passivation with the NiS layer promotes electron transport and enhances the performance of the modified cells. The passivation of the TiO2 layer with NiS attains a better power conversion efficiency among the scant studies so far on the surface passivation of QDSCs. Full article
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<p>Passivation of the NiS-MnS layer in QDSC.</p>
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<p>Dithiocarbamate complexes (<b>i</b>–<b>vi</b>) used for the synthesis of NiS and MnS as N/M-1, N/M-2, and N/M-3 in the present study.</p>
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<p>X-ray diffraction patterns (<b>a</b>), Raman spectra (<b>b</b>), and FTIR spectra (<b>c</b>) of N/M-1, N/M-2, and N/M-3 cells.</p>
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<p>TEM (<b>a</b>,<b>c</b>,<b>e</b>), SAED (<b>b</b>,<b>d</b>,<b>f</b>), and HRTEM (<b>g</b>–<b>i</b>) of N/M-1, N/M-2, and N/M-3 cells.</p>
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<p>SEM (<b>a</b>–<b>f</b>) and EDS (<b>g</b>–<b>i</b>) of N/M-1, N/M-2, and N/M-3 cells.</p>
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<p>UV-Vis (<b>a</b>) and Taucs plot (<b>b</b>) of N/M-1, N/M-2, and N/M-3 cells. The black dotted arrow is the extrapolation line.</p>
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<p>EIS Nyquist (<b>a</b>–<b>d</b>), Bode plot (<b>e</b>), and Equivalent model circuit of N/M-1, N/M-2 (<b>f</b>), and N/M-3 cells (<b>g</b>).</p>
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<p>LSV (<b>a</b>), CV curve (<b>b</b>), CA (<b>c</b>), and I-V curve (<b>d</b>) of N/M-1, N/M-2, and N/M-3 cells.</p>
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16 pages, 643 KiB  
Article
An LDPC-RS Concatenation and Decoding Scheme to Lower the Error Floor for FTN Signaling
by Honghao Shi, Zhiyong Luo and Congduan Li
Electronics 2024, 13(8), 1588; https://doi.org/10.3390/electronics13081588 - 22 Apr 2024
Cited by 1 | Viewed by 1027
Abstract
Faster-than-Nyquist (FTN) signaling has attracted increasing interest in the past two decades. However, when the fifth-generation (5G) communication low-density parity check (LDPC) code is applied to FTN signaling with low Bahl–Cock–Jelinek–Raviv (BCJR) states of detection and few turbo equalization iterations, an error floor [...] Read more.
Faster-than-Nyquist (FTN) signaling has attracted increasing interest in the past two decades. However, when the fifth-generation (5G) communication low-density parity check (LDPC) code is applied to FTN signaling with low Bahl–Cock–Jelinek–Raviv (BCJR) states of detection and few turbo equalization iterations, an error floor near 105 is found, which does not exist in the original LDPC used for orthogonal signaling. This can be eliminated through many detection and decoding iterations, but this is unacceptable considering the increase in latency and storage. To solve this problem, we propose an LDPC and Reed–Solomon (RS) concatenation code, shortening, and perturbation scheme to lower the error floor. We propose a parallel encoder architecture for RS component code and a concise algorithm to calculate its constant multiplier coefficients, leveraging a traditional serial encoder, which can also be used for other parallelisms, rates, and lengths. The simulation results show that the proposed concatenation and shortening scheme can lower the error floor to about 107. The proposed scheme has an error correction capability for coded FTN signaling and successfully lowers the error floor with the limitation of few turbo iterations and few BCJR states. Full article
(This article belongs to the Section Microwave and Wireless Communications)
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<p>FTN signaling with turbo equalization.</p>
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<p>BER vs. SNR of 5G LDPC (7680, 3840) code with three turbo iterations and 4-BCJR detection.</p>
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<p>Proposed LDPC-RS concatenation code. With concatenation and shortening, the code rate is 0.42.</p>
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<p>One example of BP decoding in a (6, 3) trapping set. Three variable nodes all have incorrect negative values, meanwhile relevant check nodes are weak and cannot provide error correction during BP iterations.</p>
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<p>Value distribution of <math display="inline"><semantics> <msubsup> <mi>L</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mo>′</mo> </msubsup> </semantics></math>.</p>
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<p>Decoding of a (6, 3) trapping set without/with perturbation.</p>
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<p>Conventional serial RS (340, 320) encoder.</p>
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<p>Structure of a 4-parallel RS (340, 320) encoder.</p>
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<p>4-BCJR, BP max. itr. = 20, turbo eq. itr. = 3.</p>
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<p>4-BCJR, BP max. itr. = 50, turbo eq. itr. = 3.</p>
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10 pages, 4178 KiB  
Communication
Look-Up-Table-Based Direct-Detection-Faster-Than-Nyquist-Algorithm-Enabled IM/DD Transmission with Severe Bandwidth Limitation
by Xiaoying Zhang, Jiahao Huo, Shaonan Liu, Wei Huangfu and Keping Long
Photonics 2023, 10(11), 1222; https://doi.org/10.3390/photonics10111222 - 31 Oct 2023
Viewed by 1209
Abstract
The emergence of new applications is driving a dramatic growth in the capacity of data center interconnects. Intensity modulation and direct detection (IM/DD) has the characteristics of low cost, low power consumption and a small footprint. Industry and academia have conducted much research [...] Read more.
The emergence of new applications is driving a dramatic growth in the capacity of data center interconnects. Intensity modulation and direct detection (IM/DD) has the characteristics of low cost, low power consumption and a small footprint. Industry and academia have conducted much research on IM/DD systems as a cost-effective solution. However, optical/electronic bandwidth and fiber dispersion are the restricting factors for the improvement of transmission capacity. Pattern-dependent distortion is an important aspect that affects system performance. In this paper, we propose a look-up table (LUT)-based direct-detection-faster-than-Nyquist (DDFTN) algorithm to compensate for pattern-dependent distortion. The performances of feedforward-equalization (FFE) only, the original DDFTN, least-squares (LS)-based DDFTN, and LUT-based DDFTN algorithms in IM/DD-based 112/140 Gbit/s four-level pulse-amplitude modulation (PAM-4) signal transmission were evaluated. The experimental results indicate that LUT-based DDFTN performs better with low computational complexity. Full article
(This article belongs to the Special Issue Optical Communication, Sensing and Network)
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<p>Block diagram of the original DDFTN.</p>
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<p>Block diagram of the LS-based DDFTN.</p>
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<p>Block diagram of the LUT-based DDFTN.</p>
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<p>Experimental setup and DSP flow for the IM/DD system.</p>
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<p>BER versus <math display="inline"><semantics> <mi>α</mi> </semantics></math> for the 112 Gbit/s and the 140 Gbit/s PAM-4.</p>
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<p>BER versus ROP for 112 Gbit/s PAM-4 for (<b>a</b>) BTB and (<b>b</b>) 2 km SSMF.</p>
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<p>BER versus ROP for the 140 Gbit/s PAM-4 for (<b>a</b>) BTB; (<b>b</b>) 1 km SSMF.</p>
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<p>BER versus ROP for the LS-based and LUT-based DDFTN algorithms for a (<b>a</b>) 3-symbol pattern; (<b>b</b>) 5-symbol pattern.</p>
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14 pages, 3244 KiB  
Article
Frequency-Shift Monitoring of Optical Filter Based on Optical Labels over FTN-WDM Transmission Systems
by Kaixuan Li, Tao Yang, Xue Wang, Sheping Shi, Liqian Wang and Xue Chen
Photonics 2023, 10(10), 1166; https://doi.org/10.3390/photonics10101166 - 18 Oct 2023
Viewed by 1415
Abstract
Optical network monitoring and soft failure identification such as optical filter shifting and filter tightening are increasingly significant for the complex and dynamic optical networks of the future. Center frequency shift of optical filtering devices in optical networks has a serious impact on [...] Read more.
Optical network monitoring and soft failure identification such as optical filter shifting and filter tightening are increasingly significant for the complex and dynamic optical networks of the future. Center frequency shift of optical filtering devices in optical networks has a serious impact on the performance of multi-span transmission, especially in high spectrum efficiency faster-than-Nyquist (FTN) transmission systems with various optical switching and add/drop nodes. Existing monitoring schemes generally have the problems of high cost, high complexity, and inability to realize multi-channel online monitoring, which makes it difficult for them to be applied in a wavelength division multiplexing (WDM) system with numerous nodes. In this paper, a monitoring scheme of frequency shift of optical filtering devices based on optical label (OL) is proposed and demonstrated. The signal spectrum of each channel is intentionally divided into many sub-bands with corresponding optical labels loading. The characteristics of spectrum power changing caused by frequency shift can be reflected on labels power changing of each sub-band, which are used to monitor and estimate the value of frequency shift via DSP algorithm. Simulation results show that the monitoring errors of frequency shift can be kept reasonably below 0.5 GHz after 10-span WDM transmission in FTN polarization multiplexing m-ary quadrature amplitude modulation (PM-mQAM) systems. In addition, 250 km fiber transmission experiments are also carried out, and similar results are obtained, which further verify the feasibility of our proposed scheme. The characteristics of low cost, high reliability, and efficiency make it a better candidate for practical application in future FTN-WDM networks. Full article
(This article belongs to the Special Issue Optical Communication, Sensing and Network)
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<p>Schematic diagram of the label-based monitoring scheme. (OPM: optical performance monitoring, OA: optical amplifier, OTU: optical transmit unit).</p>
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<p>Schematic diagram of label-loading DSP module (OL: optical label).</p>
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<p>An example of multi-frequency optical label loading and frequency shift.</p>
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<p>(<b>a</b>) Single-filter window frequency response function. (<b>b</b>) Illustration of the shape of the filter window after cascading multiple WSSs.</p>
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<p>(<b>a</b>) Frequency shift versus power difference reference curve after a single WSS. (<b>b</b>) Frequency shift–power difference reference curve after cascading multiple WSSs.</p>
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<p>(<b>a</b>) Schematic diagram of the monitoring error under different optical label modulation depths. (<b>b</b>) Diagram of monitoring error under different sub-band width ratios.</p>
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<p>Monitoring effect with different filter center shifts.</p>
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<p>Block diagram of the experimental system.</p>
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<p>Shape of the filter window with 25 GHz −3 dB bandwidth.</p>
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<p>Demodulation effect of labels’ signal at 10 GHz frequency shift with different transmission distances (<b>a</b>) 80 km and (<b>b</b>) 250 km.</p>
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<p>(<b>a</b>) Experimental measurement of frequency shift versus power difference reference curve. (<b>b</b>) Frequency-shift monitoring error measured in the experiment.</p>
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23 pages, 1364 KiB  
Article
An Efficient Compressive Sensed Video Codec with Inter-Frame Decoding and Low-Complexity Intra-Frame Encoding
by Evgeny Belyaev
Sensors 2023, 23(3), 1368; https://doi.org/10.3390/s23031368 - 26 Jan 2023
Cited by 5 | Viewed by 2516
Abstract
This paper is dedicated to video coding based on a compressive sensing (CS) framework. In CS, it is assumed that if a video sequence is sparse in some transform domain, then it could be reconstructed from a much lower number of samples (called [...] Read more.
This paper is dedicated to video coding based on a compressive sensing (CS) framework. In CS, it is assumed that if a video sequence is sparse in some transform domain, then it could be reconstructed from a much lower number of samples (called measurements) than the Nyquist–Shannon theorem requires. Here, the performance of such a codec depends on how the measurements are acquired (or sensed) and compressed and how the video is reconstructed from the decoded measurements. Here, such a codec potentially could provide significantly faster encoding compared with traditional block-based intra-frame encoding via Motion JPEG (MJPEG), H.264/AVC or H.265/HEVC standards. However, existing video codecs based on CS are inferior to the traditional codecs in rate distortion performance, which makes them useless in practical scenarios. In this paper, we present a video codec based on CS called CS-JPEG. To the author’s knowledge, CS-JPEG is the first codec based on CS, combining fast encoding and high rate distortion results. Our performance evaluation shows that, compared with the optimized software implementations of MJPEG, H.264/AVC, and H.265/HEVC, the proposed CS-JPEG encoding is 2.2, 1.9, and 30.5 times faster, providing 2.33, 0.79, and 1.45 dB improvements in the peak signal-to-noise ratio, respectively. Therefore, it could be more attractive for video applications having critical limitations in computational resources or a battery lifetime of an upstreaming device. Full article
(This article belongs to the Special Issue Video Coding Based on Compressive Sensing)
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<p>CS-JPEG intra-frame encoder.</p>
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<p>Illustration of the codec scalability for `Foreman’.</p>
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<p>The proposed rate control state machine.</p>
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<p>Comparison of different versions of thresholding with <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math> DCT for <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>5</mn> <mo>%</mo> </mrow> </semantics></math>. Here, <span class="html-italic">Version 1</span> is the thresholdig according to Algorithm 2, <span class="html-italic">Version 2</span> is <span class="html-italic">Version 1</span> with random selection of shifts <math display="inline"><semantics> <mrow> <mo>(</mo> <msub> <mi>s</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>s</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> </semantics></math> from set <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>0</mn> <mo>,</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>}</mo> </mrow> </semantics></math>, <span class="html-italic">Version 3</span> is <span class="html-italic">Version 2</span>, in which hierarchical motion estimation (HME) is used once per 30 iterations, while for the remaining iterations, only motion vector refinement via fast gradient motion vector searching is used, <span class="html-italic">Version 4</span> is <span class="html-italic">Version 3</span>, in which any motion estimation is performed at each iteration with a probability of <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>/</mo> <mn>3</mn> </mrow> </semantics></math> while zero-motion vectors are used with a probability of <math display="inline"><semantics> <mrow> <mn>2</mn> <mo>/</mo> <mn>3</mn> </mrow> </semantics></math>, and <span class="html-italic">Version 5</span> is <span class="html-italic">Version 4</span>, in which motion searching within the same frame is enabled.</p>
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<p>PSNR improvements related to [<a href="#B21-sensors-23-01368" class="html-bibr">21</a>] for the thresholding with 3D DCT block sizes <math display="inline"><semantics> <mrow> <mn>8</mn> <mo>×</mo> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mn>4</mn> <mo>×</mo> <mn>8</mn> <mo>×</mo> <mn>8</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mn>4</mn> <mo>×</mo> <mn>4</mn> <mo>×</mo> <mn>4</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> <mo>×</mo> <mn>16</mn> </mrow> </semantics></math> and the proposed thresholding in which the block size is selected from a set <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>8</mn> <mo>×</mo> <mn>16</mn> <mo>×</mo> <mn>16</mn> <mo>,</mo> <mn>4</mn> <mo>×</mo> <mn>8</mn> <mo>×</mo> <mn>8</mn> <mo>,</mo> <mn>4</mn> <mo>×</mo> <mn>4</mn> <mo>×</mo> <mn>4</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mn>16</mn> <mo>×</mo> <mn>16</mn> <mo>×</mo> <mn>16</mn> <mo>}</mo> </mrow> </semantics></math> at each iteration with a probability of <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>/</mo> <mn>4</mn> </mrow> </semantics></math>.</p>
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<p>Proposed fast randomized ISTA for CS-JPEG decoder.</p>
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<p>PSNR improvements related to [<a href="#B21-sensors-23-01368" class="html-bibr">21</a>] for thresholding using VBM3D-HI, VBM3D-RND, and the proposed randomized thresholding.</p>
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<p>Bit rate provided by the considered codecs for <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>T</mi> </msub> <mo>=</mo> <mn>1500</mn> </mrow> </semantics></math> kbps.</p>
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<p>Rate distortion comparison using PSNR metric.</p>
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<p>Rate distortion comparison using PSNR metric for Full HD videos.</p>
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<p>Frame with index 150 at <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>T</mi> </msub> <mo>=</mo> <mn>600</mn> </mrow> </semantics></math> kbps for `Container’.</p>
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<p>Frame with index 150 at <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>T</mi> </msub> <mo>=</mo> <mn>600</mn> </mrow> </semantics></math> kbps for `Hall’.</p>
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<p>Frame with index 150 at <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>T</mi> </msub> <mo>=</mo> <mn>600</mn> </mrow> </semantics></math> kbps for `Foreman’.</p>
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<p>Frame with index 150 at <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>T</mi> </msub> <mo>=</mo> <mn>600</mn> </mrow> </semantics></math> kbps for `Soccer’.</p>
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13 pages, 2980 KiB  
Communication
LSTM Attention Neural-Network-Based Signal Detection for Hybrid Modulated Faster-Than-Nyquist Optical Wireless Communications
by Minghua Cao, Ruifang Yao, Jieping Xia, Kejun Jia and Huiqin Wang
Sensors 2022, 22(22), 8992; https://doi.org/10.3390/s22228992 - 20 Nov 2022
Cited by 5 | Viewed by 2307
Abstract
In order to improve the accuracy of signal recovery after transmitting over atmospheric turbulence channel, a deep-learning-based signal detection method is proposed for a faster-than-Nyquist (FTN) hybrid modulated optical wireless communication (OWC) system. It takes advantage of the long short-term memory (LSTM) network [...] Read more.
In order to improve the accuracy of signal recovery after transmitting over atmospheric turbulence channel, a deep-learning-based signal detection method is proposed for a faster-than-Nyquist (FTN) hybrid modulated optical wireless communication (OWC) system. It takes advantage of the long short-term memory (LSTM) network in the recurrent neural network (RNN) to alleviate the interdependence problem of adjacent symbols. Moreover, an LSTM attention decoder is constructed by employing the attention mechanism, which can alleviate the shortcomings in conventional LSTM. The simulation results show that the bit error rate (BER) performance of the proposed LSTM attention neural network is 1 dB better than that of the back propagation (BP) neural network and outperforms by 2.5 dB when compared with the maximum likelihood sequence estimation (MLSE) detection method. Full article
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<p>Schematic of atmospheric optical communication system based on the 4PPM–QPSK–FTN modulation mode.</p>
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<p>RNN network structure unfolded along the time line.</p>
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<p>Diagram of the LSTM network.</p>
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<p>Diagram of the LSTM attention decoder.</p>
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<p>Internal calculation process diagram of the attention mechanism.</p>
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<p>BER under different atmospheric turbulence channels.</p>
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<p>Relationship between BER and roll factor: (<b>a</b>) LSTM attention and BP decoding algorithms; (<b>b</b>) LSTM attention and MLSE decoding algorithms.</p>
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<p>Relationship of BER and acceleration factor <math display="inline"><semantics> <mi>τ</mi> </semantics></math>.</p>
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14 pages, 4542 KiB  
Article
Optimal Option of n-Level Polybinary Transformation in Faster than Nyquist System According to the Time-Packing Factor
by Peng Sun, Wenbo Zhang, Dongwei Pan and Xiaoguang Zhang
Appl. Sci. 2022, 12(21), 11227; https://doi.org/10.3390/app122111227 - 5 Nov 2022
Viewed by 1324
Abstract
According to an in-depth analysis of the relationship among n-level polybinary transformation, the time-packing factor and the performance of the decoding algorithm, we find that the appropriate n-level polybinary transformation can improve the performance of the decoding algorithm within a certain range of [...] Read more.
According to an in-depth analysis of the relationship among n-level polybinary transformation, the time-packing factor and the performance of the decoding algorithm, we find that the appropriate n-level polybinary transformation can improve the performance of the decoding algorithm within a certain range of the time-packing factor in the Faster than Nyquist (FTN) system. In this paper, we explain the reason that this phenomenon occurs. Based on the above analysis, we propose a modified blind phase search (BPS) algorithm to compensate for phase noise (PN) in the FTN system with an extremely small time-packing factor. As a result, the modified-BPS algorithm can cope with the PN with the linewidth × symbol rate at 1.07 × 10−5, 1.79 × 10−5, 2.86 × 10−5 and 3.57 × 10−5 under a time-packing factor of 0.55, 0.50 and 0.45, respectively. At the same time, the spectrum efficiency (SE) is improved to 3.27 bit/s/Hz, 4 bit/s/Hz and 4.88 bit/s/Hz. Full article
(This article belongs to the Special Issue Advances in Applied Optics and Optical Signal Processing)
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<p>Structure of n-level polybinary signal by delay operations and modulo-two sum operations.</p>
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<p>The PDF of n-level polybinary transformation for QPSK signal: (<b>a</b>) 1-level polybinary transformation of original signal; (<b>b</b>) duobinary transformation; (<b>c</b>) tribinary transformation.</p>
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<p>The PDF of n-level polybinary transformation for 16QAM signal: (<b>a</b>) 1-level polybinary transformation of original signal; (<b>b</b>) duobinary transformation; (<b>c</b>) tribinary transformation.</p>
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<p>The PDF of n-level polybinary transformation for QPSK signal under the time-packing factor of 0.5: (<b>a</b>) original QPSK signal; (<b>b</b>) after duobinary transformation; (<b>c</b>) after tribinary transformation.</p>
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<p>Simulation platform for 28GBaud PDM-FTN-QPSK system.</p>
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<p>The performance of OSNR versus BER for MLSE, duobinary MLSE and tribinary MLSE under different time-packing factors: (<b>a</b>) the time-packing factor changes from 0.45 to 0.60; (<b>b</b>) the time-packing factor changes from 0.65 to 0.80; (<b>c</b>) the time-packing factor changes from 0.85 to 1.00.</p>
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<p>The performance of OSNR versus BER for MLSE, duobinary MLSE and tribinary MLSE under different time-packing factors: (<b>a</b>) the time-packing factor changes from 0.45 to 0.60; (<b>b</b>) the time-packing factor changes from 0.65 to 0.80; (<b>c</b>) the time-packing factor changes from 0.85 to 1.00.</p>
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<p>The normalized frequent and continuous versus real values of constellation points for original signal, after duobinary transformation and after tribinary transformation (<b>a</b>) when the time-packing factor equals 1.00; (<b>b</b>) when the time-packing factor equals 0.95; (<b>c</b>) when the time-packing factor equals 0.60; (<b>d</b>) when the time-packing factor equals 0.45.</p>
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<p>Under the different time-packing factors, the performance of OSNR versus BER is shown for the modified-BPS algorithm to equalize PN when the linewidth equals 300 kHz, 500 kHz, 800 kHz and 1000 kHz, respectively, and (<b>a</b>) the time-packing factor equals 0.45; (<b>b</b>) the time-packing factor equals 0.50; (<b>c</b>) the time-packing factor equals 0.55.</p>
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<p>The performance of required OSNR and OSNR penalty versus linewidth symbol rate (Δf·Ts) under the time-packing factor changes of 0.45~0.55: (<b>a</b>) required ONSR versus Δf·Ts; (<b>b</b>) OSNR penalty versus Δf·Ts.</p>
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18 pages, 533 KiB  
Article
Design and Analysis of Multi-User Faster-Than-Nyquist-DCSK Communication Systems over Multi-Path Fading Channels
by Mohamed Dawa, Marijan Herceg and Georges Kaddoum
Sensors 2022, 22(20), 7837; https://doi.org/10.3390/s22207837 - 15 Oct 2022
Cited by 2 | Viewed by 2040
Abstract
In this paper, we present a new multi-user chaos-based communication system using Faster-than-Nyquist sampling to achieve higher data rates and lower energy consumption. The newly designed system, designated Multi-user Faster Than Nyquist Differential Chaos Shift Keying (MU-FTN-DCSK), uses the traditional structure of Differential [...] Read more.
In this paper, we present a new multi-user chaos-based communication system using Faster-than-Nyquist sampling to achieve higher data rates and lower energy consumption. The newly designed system, designated Multi-user Faster Than Nyquist Differential Chaos Shift Keying (MU-FTN-DCSK), uses the traditional structure of Differential Chaos Shift Keying (DCSK) communication systems in combination with a filtering system that goes below the Nyquist limit for data sampling. The system is designed to simultaneously enable transmissions from multiple users through multiple sampling rates resulting in semi-orthogonal transmissions. The design, performance analysis, and experimental results of the MU-FTN-DCSK system are presented to demonstrate the utility of the newly proposed system in enabling multi-user communications and enhancing the spectral efficiency of the basic DCSK design without the addition of new blocks. The MU-FTN-DCSK system presented in this paper demonstrates spectral gains for one user of up to 23% and a combined gain of 25% for four (U=4) users. In this paper, we present a proof of concept demonstrating a new degree of freedom in the design of Chaos-based communication systems and their improvement in providing wireless transmissions without complicated signal processing tools or advanced hardware designs. Full article
(This article belongs to the Topic IOT, Communication and Engineering)
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<p>Block diagram of the MU-FTN-DCSK communication system, (<b>a</b>) Random <span class="html-italic">p</span>th user’s transmitter, (<b>b</b>) Frame shapes for different users with different sampling parameters, (<b>c</b>) Receiver structure for the desired user.</p>
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<p>BER performance of MU-FTN-DCSK over AWGN channel with different number of users <span class="html-italic">U</span> = <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>}</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>150</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>d</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mn>0.9</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mrow> <mo>{</mo> <mn>0.8</mn> <mo>,</mo> <mn>0.7</mn> <mo>,</mo> <mn>0.6</mn> <mo>}</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>BER performance of MU-FTN-DCSK over AWGN channel for different spreading factors and number of users <span class="html-italic">U</span> = <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>}</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>150</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>d</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mn>0.9</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mrow> <mo>{</mo> <mn>0.8</mn> <mo>,</mo> <mn>0.7</mn> <mo>,</mo> <mn>0.6</mn> <mo>,</mo> <mn>0.5</mn> <mo>}</mo> </mrow> </mrow> </semantics></math>, and SNR = 25 dB.</p>
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<p>BER performance of MU-FTN-DCSK over Rayleigh channel for a dissimilar power distribution, <span class="html-italic">U</span> = <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>}</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>150</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>d</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mn>0.9</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mrow> <mo>{</mo> <mn>0.8</mn> <mo>,</mo> <mn>0.7</mn> <mo>,</mo> <mn>0.6</mn> <mo>}</mo> </mrow> </mrow> </semantics></math>.</p>
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<p>BER performance for different sampling rates and number of users over the AWGN channel, <span class="html-italic">U</span> = <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mn>9</mn> <mo>}</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mrow> <mo>{</mo> <mn>0.95</mn> <mo>,</mo> <mn>0.9</mn> <mo>,</mo> <mo>…</mo> <mn>0.5</mn> <mo>}</mo> </mrow> </mrow> </semantics></math>, SNR = 30 dB.</p>
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<p>BER performance for different sampling rates and number of users over the dissimilar multi-path Rayleigh fading channel, <span class="html-italic">U</span> = <math display="inline"><semantics> <mrow> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mn>9</mn> <mo>}</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>β</mi> <mo>=</mo> <mn>100</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>ρ</mi> <mrow> <mo>(</mo> <mi>p</mi> <mo>)</mo> </mrow> </msub> <mo>=</mo> <mrow> <mo>{</mo> <mn>0.95</mn> <mo>,</mo> <mn>0.9</mn> <mo>,</mo> <mo>…</mo> <mn>0.5</mn> <mo>}</mo> </mrow> </mrow> </semantics></math>, SNR = 30 dB.</p>
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<p>BER performances of MU-FTN-DCSK for a noiseless channel.</p>
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<p>BER performances of MU-FTN-DCSK for a faulty sampling rate.</p>
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14 pages, 4807 KiB  
Article
Low-Complexity and Highly-Robust Chromatic Dispersion Estimation for Faster-than-Nyquist Coherent Optical Systems
by Tao Yang, Yu Jiang, Yongben Wang, Jialin You, Liqian Wang and Xue Chen
Photonics 2022, 9(9), 657; https://doi.org/10.3390/photonics9090657 - 15 Sep 2022
Cited by 2 | Viewed by 1805
Abstract
Faster-than-Nyquist (FTN) coherent optical transmission technology is considered to be an outstanding solution to achieve higher spectral efficiency (SE), larger capacity, and greater achievable transmission by using advanced modulation formats in concert with highly efficient digital signal processing (DSP) to estimate and compensate [...] Read more.
Faster-than-Nyquist (FTN) coherent optical transmission technology is considered to be an outstanding solution to achieve higher spectral efficiency (SE), larger capacity, and greater achievable transmission by using advanced modulation formats in concert with highly efficient digital signal processing (DSP) to estimate and compensate various impairments. However, severe inter-symbol interference (ISI) caused by tight FTN pulse shaping will lead to intractable chromatic dispersion (CD) estimation problems, as existing conventional methods are completely ineffective or exhibit unaffordable computational complexity (CC). In this paper, we propose a low-complexity and highly robust scheme that could realize accurate and reliable CD estimation (CDE) based on a designed training sequence (TS) in the first stage and an optimized fractional Fourier transform (FrFT) in the second stage. The training sequence with the designed structure helps us to estimate CD roughly but reliably, and it further facilitates the FrFT in the second stage to achieve accurate CDE within a narrowed searching range; it thereby results in very low CC. Comprehensive simulation results of triple-carrier 64-GBaud FTN dual-polarization 16-ary quadrature amplitude modulation (DP-16QAM) systems demonstrate that, with only overall 3% computational complexity compared with conventional blind CDE methods, the proposed scheme exhibits a CDE accuracy better than 65 ps/nm even under an acceleration factor as low as 0.85. In addition, 60-GBaud FTN DP quadrature phase shift keying (DP-QPSK)/16QAM transmission experiments are carried out, and the results show that the CDE error is less than 70 ps/nm. The advantages of the proposed scheme make it a preferable candidate for CDE in practical FTN coherent optical systems. Full article
(This article belongs to the Special Issue Photonics for Emerging Applications in Communication and Sensing)
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<p>Frame structure diagram.</p>
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<p>Block diagram of the proposed CDE scheme consisting of two stages: (<b>a</b>) the first coarse stage using TSs, and (<b>b</b>) the second fine stage using optimized FrFT.</p>
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<p>Simulation platform for a 64Gbaud DP-16QAM FTN-WDM system with the proposed CD estimation scheme.</p>
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<p>Distribution of the mean value of the absolute CDE error using 4096 samples when the step size of the order scanning and the granularity of the CD scanning are (<b>a</b>) 0.002 and 100 ps/nm, and (<b>b</b>) 0.004 and 200 ps/nm.</p>
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<p>Distribution of the mean value of the absolute CDE error using 8192 samples when the step size of the order scanning and the granularity of the CD scanning are (<b>a</b>) 0.001 and 100 ps/nm, and (<b>b</b>) 0.002 and 200 ps/nm.</p>
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<p>The mean value of the absolute CDE error vs. different OSNRs.</p>
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<p>The mean value of the absolute CDE error vs. different <span class="html-italic">CD<sub>real</sub></span>.</p>
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<p>The mean value of the absolute CDE error vs. different DGD.</p>
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<p>Experimental setup for 60-GBaud FTN DP-QPSK/16QAM coherent transmission systems.</p>
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<p>Accumulated CD vs. the CD estimated in (<b>a</b>) DP-QPSK and (<b>b</b>) DP-16QAM systems.</p>
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<p>(<b>a</b>) The mean value of the absolute CDE error in (<b>a</b>) DP-QPSK and (<b>b</b>) DP-16QAM systems.</p>
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18 pages, 1769 KiB  
Article
Enhancing PAPR and Throughput for DFT-s-OFDM System Using FTN and IOTA Filtering
by Xinran Zhuo, Jianxiong Pan, Huwei Wang, Xiangming Li and Neng Ye
Sensors 2022, 22(13), 4907; https://doi.org/10.3390/s22134907 - 29 Jun 2022
Viewed by 2926
Abstract
High frequency wireless communication aims to provide ultra high-speed transmissions for various application scenarios. The waveform design for high frequency communication is challenging due to the requirements for high spectrum efficiency, as well as good hardware compatibility. With high flexibility and low peak-to-average [...] Read more.
High frequency wireless communication aims to provide ultra high-speed transmissions for various application scenarios. The waveform design for high frequency communication is challenging due to the requirements for high spectrum efficiency, as well as good hardware compatibility. With high flexibility and low peak-to-average power ratio (PAPR), discrete Fourier transformation spreading-based orthogonal frequency division multiplexing (DFT-s-OFDM) can be a promising candidate waveform. To further enhance the spectral efficiency, we integrate faster-than-Nyquist (FTN) signaling in DFT-s-OFDM, and find that the PAPR performance can also be improved. While FTN can introduce increased inter-symbol interference (ISI), in this paper, we deploy an isotropic orthogonal transform algorithm (IOTA) filter for FTN-enhanced DFT-s-OFDM, where the compact time-frequency structure of the IOTA filter can significantly reduce the ISI. Simulation results show that the proposed waveform is capable of achieving good performance in PAPR, bit error rate (BER) and throughput, simultaneously, with 3.5 dB gain in PAPR and 50% gain in throughput. Full article
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Figure 1
<p>Time &amp; frequency transformation of multi-carrier waveform.</p>
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<p>OOB performance of IOTA filter.</p>
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<p>The transceiver design of the proposed waveform.</p>
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<p>Performance of PAPR based on QPSK with <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>120</mn> <mo>/</mo> <mn>1024</mn> </mrow> </semantics></math>.</p>
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<p>Performance of PAPR based on 16QAM with <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>490</mn> <mo>/</mo> <mn>1024</mn> </mrow> </semantics></math>.</p>
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<p>Performance of PAPR based on 64QAM with <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>948</mn> <mo>/</mo> <mn>1024</mn> </mrow> </semantics></math>.</p>
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<p>Peak value of RRC filter-based signal with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math>.</p>
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<p>Peak value of RRC filter-based signal with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.64</mn> </mrow> </semantics></math>.</p>
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<p>Peak value of RRC filter-based signal with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.25</mn> </mrow> </semantics></math>.</p>
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<p>Comparison of peak and average value of FTN under different acceleration factor <math display="inline"><semantics> <mi>α</mi> </semantics></math>.</p>
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<p>Performance of BER based on QPSK with <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>679</mn> <mo>/</mo> <mn>1024</mn> </mrow> </semantics></math>.</p>
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<p>Performance of BER based on 16QAM with <math display="inline"><semantics> <mrow> <mi>R</mi> <mo>=</mo> <mn>658</mn> <mo>/</mo> <mn>1024</mn> </mrow> </semantics></math>.</p>
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<p>Throughput performance of IOTA and RRC with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.9</mn> </mrow> </semantics></math>.</p>
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<p>Throughput performance of IOTA and RRC with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.83</mn> </mrow> </semantics></math>.</p>
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<p>Throughput performance of IOTA and RRC with <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>.</p>
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