Abstract
We consider the transmissions of successive short packets. Each of them combines information to be transmitted (codeword) with information for synchronizing the frame (syncword). For short packets, the cost of including syncwords is no longer negligible and its design requires careful optimization. In particular, a trade-off arises depending on the way the total transmit power or the total frame length is split among the syncword and the codeword. Assuming optimal finite-length codes, we develop tight upper bounds on the probability of erroneous synchronization, for both frames with concatenated syncword and frames with superimposed syncword. We use these bounds to optimize this trade-off. Simulation results show that the proposed bounds and analysis have practical relevance for short packet communication system design.
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Notes
Note that for most practical codes and decoders the probability of correct decoding in case of a synchronization error is very small. Hence, PE as defined in Eq. 1 is expected to be a tight upper bound of the FEP.
References
3GPP 38 212 : LTE; E-UTRA; 5G; NR; Multiplexing and channel coding Rel.15. 3GPP (2019). V15.2.0
Bana AS, Trillingsgaard KF, Popovski P, de Carvalho E (2018) Short packet structure for Ultra-Reliable Machine-type communication: tradeoff between detection and decoding. In: IEEE international conference on acoustics, speech and signal proceeding (ICASSP). IEEE, Calgary, Alberta, Canada, pp 6608–6612
Chiani M, Martini MG (2006) On sequential frame synchronization in AWGN channels. IEEE Trans Commun 54(2):339–348
Chiani M, Martini MG (2007) Analysis of optimum frame synchronization based on periodically embedded sync words. IEEE Trans Commun 55(11):2056–2060
Erseghe T (2016) Coding in the finite-blocklength regime: bounds based on Laplace integrals and their asymptotic approximations. IEEE Trans Inf Theory 62(12):6854–6883
Jia H, Dodds DE (2005) Frame synchronization for PSAM in AWGN and Rayleigh fading channels. In: Canadian conference on electrical and computer engineering (CCECE). IEEE, Windsor, pp 44–50
Ling F (2017) Synchronization in digital communication systems. Cambridge University Press, Cambridge
Lui G, Tan H (1987) Frame synchronization for Gaussian channels. IEEE Trans Commun 35 (8):818–829
Massey J (1972) Optimum frame synchronization. IEEE Trans Commun 20(2):115–119
Nguyen ATP, Le Bidan R, Guilloud F (2019) Superimposed frame synchronization optimization for finite block-length regime. In: IEEE wireless communications and networking conference (WCNC) workshops
Nguyen ATP, Le Bidan R, Guilloud F (2019) Trade-off between frame synchronization and channel decoding for short packets. IEEE Commun Lett 23(6):979–982
Östman J, Durisi G, Ström EG, Coṡkun MC, Liva G (2019) Short packets over block-memoryless fading channels: pilot-assisted or noncoherent transmission? IEEE Trans Commun 67(2):1521–1536
Polyanskiy Y, Poor HV, Verdú S (2010) Channel coding rate in the finite blocklength regime. IEEE Trans Inf Theory 56(5):2307–2359
Zamir R (2014) Lattice coding for signals and networks. Cambridge University Press, New York
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Nguyen, A.T.P., Guilloud, F. & Le Bidan, R. On the optimization of resources for short frame synchronization. Ann. Telecommun. 75, 635–640 (2020). https://doi.org/10.1007/s12243-020-00787-y
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DOI: https://doi.org/10.1007/s12243-020-00787-y