CN103763234A - Information transmission method based on multi-way TPM signals - Google Patents
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Abstract
The invention discloses an information transmission method based on multi-way TPM signals, and belongs to the field of transmission methods of digital communication. In the information transmission method based on the multi-way TPM signals, with regard to the multi-way TPM transmission signals, time domain features of the TPM signals are extracted according to the ICA technology, and emission signals are recovered through detection. Through the ICA technology, the transmitted multi-way TPM signals can be received and then analyzed and processed so that phase jump characters of the TPM signals can be extracted. Information carried in the TPM signals is included in a short-time phase jump, the characters can be captured through ICA time domain filtering, and accordingly the TPM signals can be recovered by setting a detection threshold without a frequency domain. By means of the information transmission method based on the multi-way TPM signals, a receiver structure of a TPM communication system is simplified, binary modulation information transmission performance is improved, and multi-way signal transmission of the TPM communication system is effectively achieved.
Description
Technical field
The invention belongs to the technical field of digital communication and transmission, specifically in multi-channel Time phase-modulation communication system, adopt a kind of information transferring method of independent component analysis technology.
Background technology
American scholar H.R.Walker has proposed super narrowband modulation method (UNB) in late 1980s, this modulation technique for effectively solve communication system intermediate frequency spectrum utilance problem opened up new thinking (H. R. Walker. Attain high bandwidth efficiency using VMSK modulation[J]. Microwaves & RF Magazine, pp. 173-185, Dec. 1997.).The super narrowband modulation method of Walker of take is basis, time phase modulator approach (Time-Phase Modulation, TPM), phase modulator approach during abbreviation, to utilize rectangular pulse to decline fast or rising edge characteristic is carried out a kind of carrier modulation technology of phase-modulation, the starting point of this modulation technique is: utilize rectangular pulse to decline fast or rising edge characteristic changes carrier phase fast, thereby avoid because phase place slowly changes the spread spectrum problem of bringing, be that carrier wave only changes constantly in SPA sudden phase anomalies, all the other times keep sinusoidal wave form.
Time phase modulation signal utilize phase hit moment point carry information, if a plurality of different phase hit moment point are set in the situation that frequency is identical, can realize multi-user to the sharing of frequency, during with single channel, phase modulation signal is compared, and can greatly improve the band efficiency of system.
At present, the design of phase modulation signal frequency domain filter while being limited by, scholars to time phase Modulation Signal Detection Method research all based on single channel, carry out.The people such as Wu Lenan propose to adopt geometrical characteristic filtering device to carry out filtering (Wu Lenan to time limit modulation signal, the geometrical characteristic filtering method of time-frequency-aliasing signal, Chinese invention patent, publication number: CN1877990A, 2006.12.13), in low signal-to-noise ratio situation, to detect performance unsatisfactory for the method; King's red magnitude studied based on Cyclic Spectrum characteristic and time-frequency distributions time phase modulation signal detection demodulating algorithm, but all just explored these class methods to time phase modulation signal demodulation feasibility, demodulation performance is not optimized, transmission problem (Wang Hongxing, Wang Hongli, the Mao Zhongyang of phase modulation signal simultaneously while also not considering multichannel, extended binary phase shift keying demodulating algorithm based on Cyclic Spectrum characteristic, electric wave science journal, 2010,25 (5): 434-439; Wang Hongxing, Wang Hongli, Mao Zhongyang, the EBPSK demodulating algorithm based on time-frequency distributions is analyzed, Jilin University's journal (engineering version), 2011,41 (5): 1491-1496).
In sum, from the spectral characteristic of TPM signal, if will according to time the signal bandwidth of modulating mutually come designing filter to acquire a certain degree of difficulty, meanwhile, early stage for time phase modulation signal the research of detection demodulation method be mainly confined to single channel transmission.The present invention mainly considers the communication problem of multichannel TPM signal, receiving terminal adopts independent component analysis technology (Independent Component Analysis, ICA) the SPA sudden phase anomalies feature of extracting TPM signal is come, thereby realizes the transmission of multichannel TPM signal.
Summary of the invention
For time the phase modulated filter design problem that exists, the object of the invention is to propose a kind of information transferring method based on multichannel TPM signal, phase hit feature when the method can effectively be obtained multichannel in phase modulation signal, then by Threshold detection, adjudicate code element " 0 " or " 1 " of transmitting, phase modulation signal while finally recovering multichannel.
For achieving the above object, basic ideas of the present invention are:
A plurality of users launch separate binary digital signal simultaneously, through out-of-date, after modulation, launch mutually separately, at receiving terminal, a plurality of transducers are set and receive signal, number of sensors should be no less than the time phase modulation signal way of transmitting, the observation signal that each transducer obtains is all aforementioned linear hybrid of phase modulation signal when a plurality of, observation signal is carried out to independent component analysis, thereby by all SPA sudden phase anomalies feature extractions of TPM signal out, realize the demodulation to multichannel TPM signal.
According to above-mentioned thinking, the specific implementation step of the information transferring method based on multichannel TPM signal is:
1) transmitting terminal produces
nthe binary digital information that road is separate,
nfor positive integer, and
, when being carried out respectively, each road binary message modulates mutually, and its basic principle is, corresponding cycle of each binary data (be positive integer, and
) the continuous sine wave of phase place, when sending " 1 ", at certain hour
(
be less than or equal to sinusoidal wave period) interior sine wave signal generation phase hit
, when sending " 0 ", former sinusoidal signal does not change; The signal of not going the same way can have identical carrier frequency
, symbol time
and phase hit
, also can be different, but the phase hit duration of the signal of not going the same way
with phase hit initial time
must have a difference at least, the
the modulation signal on road is:
Wherein,
for the modulation waveform of binary data 0 correspondence,
for the modulation waveform of binary data 1 correspondence,
with
expression formula be respectively:
Wherein,
be
the element duration of road signal,
be
the carrier frequency of road signal,
be
phase hit when road signal sends " 1 ",
be
phase hit zero hour when road signal sends " 1 ",
be
phase hit duration when road signal sends " 1 ", each road modulated signal
(
) through antenna transmission, go out respectively;
2) receiving terminal setting
mthe individual transducer that is positioned at diverse location,
, the
the signal that individual transducer receives is
(
j=1,2 ...,
m),
by each Lu Shixiang modulation signal
mix and form,
,
.Thereby the ICA model of being set up by TPM signal and the unknown mixed coefficint of observation signal, transmitting is as follows:
Dui Ge road signal carries out discrete sampling processing, and the ICA model shown in formula (2) can be reduced to the form of matrix:
3) next need the observation signal to receiving
xprocess, that is to say the ICA model based on multichannel TPM signal is analyzed, by hybrid matrix coefficient
estimate, and original signal the most at last
sestimate, this process is exactly independent component analysis technology, in other words ICA time-domain filtering.The SPA sudden phase anomalies feature of phase modulation signal while extracting by employing ICA time-domain filtering algorithm, this feature is that the form strengthening by amplitude embodies.These algorithms comprise the non-Gauss's method of maximization, Maximum Likelihood Estimation, the method for estimation of minimization mutual information, the ICA method of estimation based on tensor etc., and the present invention adopts first two method, is introduced below.
, non-Gauss's method maximizes.
The non-Gauss's algorithm that maximizes is that in ICA method of estimation, application is more a kind of, and the TPM communication system analysis that therefore the present invention is based on ICA mainly adopts the non-Gauss's algorithm of maximization to realize.Its basic thought comes from central-limit theorem: under certain condition, the distribution of a plurality of independently stochastic variable sums trends towards Gaussian Profile.Or undemanding saying: the distribution that two independent random variable sums form than any one in two original stochastic variables closer to Gaussian Profile.
In fact, the mixed variable that more levels off to Gaussian Profile can be regarded original isolated component as and through the rotation of certain angle, obtains respectively.Therefore, ICA estimates to carry out reverse consideration, the independent element that namely we will seek can be summed up as: searching makes to mix rear distribution and has the corresponding direction of rotation problem of maximum non-Gauss, each local maximum provides an independent element, after obtaining an independent element, then continue remaining variable to adopt the non-Gauss's method of maximization.
For seeking maximum non-Gauss's direction of rotation, must first to know how non-Gauss measures." kurtosis " is one of measure of non-Gauss.Kurtosis is the tired amount of a kind of quadravalence Gauss.Kurtosis is defined as:
If suppose in above formula that variable has been zero-mean, and variance
,
, it is a kind of normalized form of quadravalence distance.For gaussian variable y, its quadravalence is apart from equaling
, so the kurtosis of gaussian variable is zero.Most of non-Gaussian random variable, kurtosis value is zero; Kurtosis is more bordering on null value, and Gauss is stronger.Therefore,, for obeying the independent element of non-Gaussian Profile before mixing, make direction that the absolute value of kurtosis gets maximum just corresponding to the independent element before mixing.
While having several obvious very large measured value in observation sample, may cause kurtosis value to become very large, and these measured values may be mistake or irrelevant with problem.Therefore, kurtosis may be to open country value and responsive." negentropy " is another measure of non-Gauss.Random vector for observation
, negentropy
calculation expression be:
(5)
In practice, for the absolute value of maximize kurtosis or negentropy, can be from certain initial weighing vector
w(setting arbitrarily) starts, according to available sample value
, calculating is sent as an envoy to
kurtosis absolute value increase the fastest direction, then by vector
wforward this direction to.This thinking can realize with gradient method and expansion thereof.
For the data of albefaction,
.Suppose weighing vector
wbe positioned at unit ball
upper, so the renewal amount of each iterative process of weighing vector is:
Wherein, in formula (7)
refer to the vector on the left side
have identical direction with the right gradient vector, but exist a positive scalar factor can adjust step-length, this coefficient is designated as
.Obtaining new weighing vector
after, also to carry out normalizing standardization to it:
According to above analysis, the step of the non-Gauss's method that obtains maximizing is:
The 1st step is to observation data
xcarrying out centralization, to make its average be 0;
Then the 2nd step carries out albefaction, obtains
z.Albefaction process:
2. to covariance carry out Eigenvalues Decomposition [D, E]=eig (
), D is the diagonal matrix consisting of characteristic value, the descending arrangement of characteristic value
, E is characteristic of correspondence vector;
An initialization weighing vector with unit norm of the random selection of the 3rd step
w;
The 4th step utilizes the gradient direction of kurtosis absolute value to weighing vector
wupgrade,
,
;
If the weight vector before and after the 6th step one time iteration meets
, think kurtosis value convergence, proceed the 7th step, wherein,
be a minimum, generally get
otherwise,, get back to step 4 and proceed next iteration.
The 7th step by step after the convergence of the kurtosis value in rapid 6, estimates to obtain an isolated component
, to observation data now
xcarry out principal component analysis, corresponding row in deduct and estimate the isolated component obtain
, obtaining observation data, the characteristic vector of the cross-correlation matrix of calculating, leaves out eigenvalue of maximum characteristic of correspondence vector, utilizes remaining characteristic vector to be weighted summation to observation data, thereby realizes the dimensionality reduction of observation data.
The 8th step forwards the 1st step to, and the observation data after dimensionality reduction is carried out to independent component analysis, estimates to obtain new isolated component; By said process repeatedly, when obtaining
after individual isolated component, independent component analysis process is complete.
, Maximum Likelihood Estimation.
It is a kind of basic skills in statistical estimate field that maximum likelihood is estimated, the basic principle of its estimation: adopt those and make gained observed quantity have the estimated parameter value of maximum probability.While solving the ICA model based on multichannel TPM signal by the method, the log likelihood of first will deriving.
The simplified model of ICA in formula (3)
, order
,
represent the to transmit probability density of TPM, ICA model can be write as:
Above formula can also be expressed as matrix
function with vector x:
Because x is observed m, use respectively
,
...,
represent.Likelihood score can be by inciting somebody to action so
mindividual dot density is estimated to multiply each other to obtain, and likelihood score L can be used as
function:
In actual use, generally use the logarithm of likelihood score, thereby turn to log likelihood and be:
Next the natural gradient numerical algorithm of log likelihood needs to maximize.The random gradient of formula (11) is:
Here,
be one by the vector function of element, the empirical function of generally choosing is following two kinds:
Thereby obtain maximum likelihood estimation algorithm according to above-mentioned function:
In above formula, each step computing need to be inverted to matrix B, causes operation slowly, thereby can improve by natural gradient method, utilizes the Geometric structure principium of parameter space according to natural gradient, integrates exactly formula (14) the right is multiplied by
, obtain as follows
This algorithm also can see do things non-linear get relevant,
time convergence, mean now for
,
with
time incoherent, it is a kind of nonlinear extensions of common irrelevance condition.
The online random Natural Gradient Algorithm step that maximum likelihood is estimated:
The 1st step is carried out centralization to data, and to make its average be 0;
The 2nd step is selected an initialization (can generate at random) separation matrix
b.Select
(
) each initial value,
can choose at random, also can utilize prior information.Select learning rate
with
;
If the 4th step non-linear form is not determined in advance:
The 5th step is upgraded separation matrix:
If the 6th step not yet restrains, return to step 3.
4) utilize the non-Gauss's method of maximization or Maximum Likelihood Estimation to decompose and obtain after multiple signals, Dui Ge road signal carries out respectively demodulation, and the mode by threshold judgement obtains demodulating information " 0 " or " 1 ".
As for thresholding, set, according to actual conditions and laboratory data, obtain.The amplitude peak of supposing non-SPA sudden phase anomalies time period part signal is
, in the vector that ICA estimates, maximum is
,
one is positioned signal phase mutation time section part, threshold value thresholding
be set as
The present invention about time phase modulation communication ICA time-domain filtering method, than existing about time phase modulating system filtering technique, have following outstanding substantive distinguishing features and remarkable advantage:
1) the present invention is directed to a kind of information transferring method based on multichannel TPM signal, especially when receiving terminal adopts independent component analysis interface differential technique to receive, phase modulation signal directly carries out filtering in time domain, be different from frequency domain filtering method used in prior art, thereby can simplify receiving terminal structure.
2) current, traditional TPM technology only limits to use single channel signal transmission, and the present invention by TPM technique extension to multiplexing, realized the communication of multichannel TPM signal, effectively improved system transmission rate, improved the band efficiency of TPM communication system.
3) what the object of the present invention's research was considered is multichannel (or multi-user) TPM signal, be different from prior art and still only rest on the filtering of a road TPM signal and the research of demodulation, the practical application of phase modulation communication system when therefore the present invention can directly facilitate, will produce very large economic worth and social benefit.
Accompanying drawing explanation
The system complete block diagram of phase modulation communication system based on ICA time-domain filtering when Fig. 1 is
When Fig. 2 is multichannel, phase modulation signal is through the theory diagram of ICA time-domain filtering
The time domain waveform figure of phase modulation signal during Tu3Wei tri-tunnel.
Fig. 4 is the observation signal waveform that receiving terminal obtains, noiseless.
Fig. 5, for without making an uproar the time domain plethysmographic signal of observation signal after ICA time-domain filtering, has obtained Xin tri-road signals after the processing of ICA method Jiang San road observation signal, the SPA sudden phase anomalies feature of phase modulation signal when wherein front two-way has extracted accurately.
Fig. 6 is the white Gaussian noise when adding, signal to noise ratio snr=10 o'clock, and receiving terminal obtains San road observation signal waveform.
Fig. 7 is the time domain plethysmographic signal of noisy observation signal after ICA time-domain filtering, signal to noise ratio snr=10;
Fig. 8 is the white Gaussian noise when adding, signal to noise ratio snr=5 o'clock, and receiving terminal obtains San road observation signal waveform.
Fig. 9 is the time domain plethysmographic signal of noisy observation signal after ICA time-domain filtering, signal to noise ratio snr=5.
Figure 10 be proposed by the invention about time modulate mutually the characteristic curve of error code figure to signal demodulation after ICA time-domain filtering.When this figure shows, modulate mutually multiple signals transmission and can realize correct demodulation after ICA time-domain filtering, thereby the multiplexing of phase modulation signal can realize time.
Figure 11 is the two-way TPM signal modulation signal time domain waveform figure that carrier frequency is different.
Figure 12 when transmitting as two paths of signals, the observation signal waveform of receiving terminal, signal to noise ratio snr=10.
Figure 13 is in two-way situation, the time domain plethysmographic signal of observation signal after ICA time-domain filtering, signal to noise ratio snr=10.
Embodiment
Below in conjunction with accompanying drawing, embodiments of the invention are described in further detail.
Time phase modulation signal ICA time-domain filtering, can specifically implement as follows:
1) produce multichannel binary digit code element, and modulate mutually while carrying out and produce multichannel TPM signal;
2) at receiving terminal, a plurality of receivers are set and receive observation signals, each observation signal during by multichannel phase modulation signal linear hybrid form;
3) observation signal receiving is normalized with albefaction and is processed, so that signal meets the precondition of independent component analysis;
4) pretreated observation signal is carried out to ICA time-domain filtering, the SPA sudden phase anomalies feature of phase modulation signal during extraction.
5) according to extract time phase modulation signal SPA sudden phase anomalies feature demodulation output multi-channel numeric code signal.
Embodiment 1:
Embodiment object: when phase modulation signal forms during Yi San road, phase modulation communication system is example, by demodulation output original signal after ICA time-domain filtering.
Embodiment step:
1) phase modulation signal when user launches three tunnels in the present embodiment
,
,
do not establish frequency interval, carrier frequency is 20kHz, every bit is modulated by 20 sinusoidal carriers, code element transmission rate is 1000bit/s, and sample frequency is 200kHz, and phase hit initial time is made as respectively the 9th, the 13rd and the 18th carrier wave place, design parameter is as table 1, and the time domain waveform after modulation is shown in Fig. 3.
2) phase modulation signal enters Gaussian white noise channel through antenna transmission during above-mentioned three tunnel, at receiving terminal, by three transducers, is caught and obtains three road observation signals
,
,
, they by
,
,
linear hybrid forms
,
j=1,2,3.Be subject to the impact of channel, surrounding environment, this mixing is random, and the present invention sets this matrix coefficient A in routine and is implementing this
When not considering noise
When considering noise
Plus noise not, add signal to noise ratio be 10 and the signal to noise ratio white Gaussian noise that is 5 after, the observation signal that receiving terminal receives is respectively as Fig. 4, Fig. 6 and Fig. 8.
3) observation signal is carried out to ICA time-domain filtering, after being processed, observation signal obtained new signal, phase modulating signal phase sudden change part and not mutated part when new signal is, wherein the amplitude of SPA sudden phase anomalies part has obviously obtained enhancing, and the signal after ICA time-domain filtering is respectively as Fig. 5, Fig. 7 and Fig. 9.Figure 10 be proposed by the invention about time modulate mutually the characteristic curve of error code figure to signal demodulation after ICA time-domain filtering.
Embodiment 2:
Embodiment object: when phase modulation signal forms during the different two-way of the carrier frequency of take, phase modulation communication system is example, by demodulation output original signal after ICA time-domain filtering.
1) phase modulation signal while only considering in the present embodiment that two users launch 2 tunnel
,
code element transmission rate is 1000bit/s, carrier frequency is respectively 20kHz and 22kHz, every bit is modulated by 10 sinusoidal carriers, phase hit initial time is made as respectively the 5th and the 9th carrier wave place, adds noise SNR=10, and design parameter is as table 2, time domain waveform after modulation is shown in Figure 11, gets front 10 code elements in figure.
2) phase modulation signal enters Gaussian white noise channel through antenna transmission during above-mentioned three tunnel, at receiving terminal, by three transducers, is caught and obtains three road observation signals
,
, they by
,
linear hybrid forms
, j=1,2.Wherein, matrix coefficient is produced at random by Matlab, and matrix coefficient A is
Affected by noise because transmit, so observation signal is
Observation signal, as Figure 12, has wherein added the white Gaussian noise that signal to noise ratio is 10.
3) observation signal is carried out to ICA time-domain filtering, after observation signal independent component analysis is processed, obtained the new signal of two-way, as shown in figure 13.The SPA sudden phase anomalies part that wherein a road comprises all input signals, shown in the upper figure of Figure 13, the amplitude of SPA sudden phase anomalies part is enhanced; Another road output signal comprises the non-SPA sudden phase anomalies part of all input signals, shown in Figure 13 figure below.
Claims (4)
1. the information transferring method based on multi-channel Time phase modulated signal, at transmitting terminal, utilize a plurality of separate sinusoidal signal SPA sudden phase anomalies carry informations that are positioned at particular moment, receiving terminal adopts independent component analysis Dui Ge road signal to carry out separation, by threshold judgement method, carry out demodulation again, its concrete steps are:
Step 10), transmitting terminal produce
nthe binary digital information that road is separate
,
nfor positive integer, and
,
, each road information
while carrying out respectively, modulate mutually, its basic principle is that each binary data is corresponding
the continuous sine wave of phase place in individual cycle,
for positive integer, and
, when sending " 1 ", at certain hour
interior sine wave signal generation phase hit
,
be less than or equal to sinusoidal wave period, when sending " 0 ", former sinusoidal signal does not change; The signal of not going the same way can have identical carrier frequency
, symbol time
and phase hit
, also can be different, but the saltus step duration of the signal of not going the same way
with saltus step initial time
must have a difference at least, the
the modulation signal on road is:
Wherein,
for the modulation waveform of binary data 0 correspondence,
for the modulation waveform of binary data 1 correspondence,
with
expression formula be respectively:
Wherein,
be
the element duration of road signal,
be
the carrier frequency of road signal,
be
phase hit when road signal sends " 1 ",
be
phase hit zero hour when road signal sends " 1 ",
be
phase hit duration when road signal sends " 1 ", each road modulation signal
(
) through antenna transmission, go out respectively;
Step 20), utilize receiving terminal
mindividual transducer receives respectively TPM signal,
, the observation signal that each transducer receives is that the weighted linear of TPM signal is mixed
,
, for the observation signal being comprised of TPM signal, employing is carried out independent element technology it is analyzed, its basic step is: first Jiang Ge road receives vectorial centralization, and its average is made zero, and utilizes albefaction to process the correlation of removing each road direction amount, set up non-Gauss's tolerance, from certain initial weighing vector
wstart, the observation vector after albefaction is weighted and sues for peace and calculate its non-Gauss's tolerance, utilize the absolute value of non-Gauss's tolerance to increase the fastest direction, former weighing vector w is upgraded, iteration process, until non-Gauss's metric convergence;
2. the information transferring method based on multi-channel Time phase modulated signal as claimed in claim 1, is characterized in that, described non-Gauss's tolerance utilizes kurtosis or negentropy or log likelihood to calculate, wherein, and random signal
kurtosis be:
4. the information transferring method based on multi-channel Time phase modulated signal as claimed in claim 1, is characterized in that, described detection threshold
meet:
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