CN107528673B - SM/AL space-time code identification method based on correlation spectrum peak value inspection - Google Patents
SM/AL space-time code identification method based on correlation spectrum peak value inspection Download PDFInfo
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Abstract
The invention provides an SM/AL space-time code identification method based on correlation spectrum peak value inspection, aiming at the problems of SM and AL space-time code identification in MIMO signals. Simulation results show that the space-time codes of the SM type and the AL type in the MIMO can be effectively identified under the condition of no signal prior information.
Description
Technical Field
The invention belongs to the field of signal identification and processing, and particularly relates to an SM/AL space-time code identification method based on correlation spectrum peak value detection.
Background
In 4G and future 5G communication systems, MIMO technology has been widely used. In an MIMO scene, the problem of signal identification and parameter estimation is considered to be a new trend, and the method has important application in the fields of cognitive radio, communication reconnaissance, spectrum monitoring and the like. In the analysis and processing of the MIMO signal, the identification of the space-time block code type is the sub-content, and a basis is provided for the modulation identification and parameter estimation of the subsequent signal. Currently, the space-time coding commonly used in MIMO communication is: space diversity (SM) and alamouti (al) space-time orthogonal block codes. The related recognition algorithms can be classified into a maximum likelihood method, a cyclostationary method, a high-order moment method, a distribution fitting test method and the like. The maximum likelihood method has the best performance, but needs prior information of signals and channels, has large calculated amount and is difficult to process in real time; the cyclostationary method does not need prior information of signals and channels; the high order moment method and the distribution fitting test method have poor performance at low signal-to-noise ratio. The invention provides a processing algorithm based on correlation spectrum peak value detection, and the method has simple calculation steps and still has better performance at low signal-to-noise ratio.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides an SM/AL space-time code identification method based on correlation spectrum peak value inspection.
In order to achieve the purpose, the invention adopts the following technical scheme:
an SM/AL space-time code identification method based on correlation spectrum peak value inspection is characterized by comprising the following steps:
1) calculating the time delay correlation spectrum module value of the observation signal between two different receiving antennas;
2) taking the maximum value of the correlation spectrum modulus value as the identification statistic;
3) setting a threshold for identifying the MIMO space-time code;
4) and comparing the maximum value of the relevant spectral modulus with a threshold, and identifying two space-time coding types of SM and AL in the MIMO signal.
In order to optimize the technical scheme, the specific measures adopted further comprise:
in step 1):
in the MIMO transmission environment, L transmitting antennas and P receiving antennas are set, L is greater than 1, P is greater than 1, and the receiving signal vector of the receiving antenna is as follows: r (N) ═ h (N) s (N) + w (N), N ═ 0.., N-1, where h (N) is a rayleigh fading type channel matrix, w (N) is additive white gaussian noise, and the variance is white gaussian noises (N) is a signal vector, N is a signal sample length;
let the received signal of the ith antenna be ri(n) the received signal of the jth antenna is rj(n), if the delay is τ, the correlation spectrum module value is: c (k) ═ DFT [ ri(n)rj(n-τ)]I, k ≠ 0., N-1, where i ≠ j, the signals participating in the correlation spectrum calculation must come from different receiving antennas, τ > 1, and the received signal r is takeni(n) less than 0.5 times the number of sample dots.
In step 2):
the maximum value of the correlation spectrum modulus value u (k) is used as the identification statistic, and R ═ max { u (k) }.
In step 3):
and setting the corresponding threshold as th, and calculating by the following formula:wherein, PfaIn order to set the probability of a false alarm,is the variance of the correlation spectrum sequence.
In step 4):
when R is more than or equal to th, the code type is AL; when R < th, the code pattern is SM.
The invention has the beneficial effects that: the method takes the correlation spectrum among different receiving antennas as a basis, and provides an identification method based on the peak value characteristics of the correlation spectrum on the basis of analyzing the sequence statistic characteristics of the correlation spectrum.
Drawings
FIG. 1 is a flow chart of the identification method of the present invention.
Fig. 2 is a statistical histogram of the maximum of the correlation spectrum mode under different code pattern conditions.
Detailed Description
The present invention will now be described in further detail with reference to the accompanying drawings.
In the method, signals of two different receiving antennas are selected firstly, time delay correlation is carried out on the signals, then correlation spectrum module values of the signals are calculated, the maximum value of the correlation spectrum module values is set as statistic for identification and is compared with a specific threshold, if the maximum value of the correlation spectrum module values is larger than the threshold, the signals are identified as AL codes, otherwise, the signals are identified as SM codes.
Fig. 1 shows a SM/AL space-time code identification method based on correlation spectrum peak detection, which specifically includes the following steps.
First, calculate the correlation spectrum
Assuming that there are L transmitting antennas and P receiving antennas in the MIMO transmission environment, where L > 1 and P > 1, the received signal vector of the receiving antennas is:
r(n)=H(n)s(n)+w(n),n=0,...,N-1
in the formula: h (n) is a Rayleigh fading type channel matrix, w (n) is an additive white Gaussian noise (variance of) S (N) is a signal vector and N is a signal sample length.
Let the received signal of the ith antenna be ri(n) the received signal of the jth antenna is rj(n) the correlation spectrum modulus is:
U(k)=|DFT[ri(n)ri(n-τ)]|,k=0,...,N-1
in the formula, i is not equal to j, namely, the signals participating in the correlation spectrum calculation must come from different receiving antennas, tau is the delay amount, tau is more than 1, and the received signal r is takeni(n) less than 0.5 times the number of sample dots.
Determining recognition statistics
The maximum value of the correlation spectrum modulus value u (k) is used as the identification statistic, i.e., R ═ max { u (k) }.
Setting of three, threshold
And setting the corresponding threshold as th, and calculating by the following formula:
wherein P isfaIn order to set the probability of a false alarm,is the variance of the correlation spectrum sequence. In practice, the amount of the liquid to be used,byEstimated to obtain inIs the statistical average value of the correlation spectrum after 3-5 large spectral lines are removed.
Four, code pattern recognition
When R is more than or equal to th, the code type is AL; when R < th, the code pattern is SM.
Table 1 illustrates the average identification accuracy of the method, and assuming that there are 2 transmitting antennas and 2 receiving antennas in the MIMO transmission environment, the 1 st receiving antenna and the 2 nd receiving signal are delay-correlated, and the delay amount is 20 sample points. The channel is a Rayleigh fading type channel matrix, the additive noise is additive white Gaussian noise, the signal is divided into 2 time slots when being transmitted, the number of symbols of each time slot is 1024 points, and the signal adopts a QPSK modulation mode. The step length of the signal-to-noise ratio setting range is-3 dB to 12dB and is 3dB, and 1000 times of simulation is respectively carried out on two different code patterns at each signal-to-noise ratio.
From table 1, the correct recognition probability of the method under the above simulation conditions can be seen: when the signal-to-noise ratio is larger than-3 dB, the recognition accuracy of the two code patterns is more than 91%.
SNR(dB) | -6 | -3 | 0 | 3 | 6 | 9 | 12 |
Average recognition accuracy | 0.811 | 0.911 | 0.957 | 0.9765 | 0.9745 | 0.9795 | 0.9875 |
TABLE 1 Performance of SM/AL space-time code identification method based on correlation spectrum peak inspection under different signal-to-noise ratios
Fig. 2 shows a statistical histogram of the maximum value of the delay correlation spectrum mode of the two space-time coding systems SM and AL obtained by simulation. The signal-to-noise ratio is set to 0dB, 1000 times of simulation are respectively carried out on two different code patterns, and the conditions of other simulations are the same as those in reference table 1. It can be seen from the figure that, under different space-time code conditions, the statistical histograms of the maximum values of the correlation spectrum values have certain differences, which is the basic basis for the algorithm to identify.
The above is only a preferred embodiment of the present invention, and the protection scope of the present invention is not limited to the above-mentioned embodiments, and all technical solutions belonging to the idea of the present invention belong to the protection scope of the present invention. It should be noted that modifications and embellishments within the scope of the invention may be made by those skilled in the art without departing from the principle of the invention.
Claims (1)
1. An SM/AL space-time code identification method based on correlation spectrum peak value inspection is characterized by comprising the following steps:
1) calculating the time delay correlation spectrum module value of the observation signal between two different receiving antennas;
in the MIMO transmission environment, L transmitting antennas and P receiving antennas are set, L is greater than 1, P is greater than 1, and the receiving signal vector of the receiving antenna is as follows: r (N) ═ h (N) s (N) + w (N), N ═ 0.., N-1, where h (N) is a rayleigh fading type channel matrix, w (N) is additive white gaussian noise, and the variance is white gaussian noises (N) is a signal vector, N is a signal sample length;
let the received signal of the ith antenna be ri(n) the received signal of the jth antenna is rj(n), if the delay is τ, the correlation spectrum module value is: u (k) ═ DFT [ ri(n)rj(n-τ)]I, k ≠ 0., N-1, where i ≠ j, the signals participating in the correlation spectrum calculation must come from different receiving antennas, τ > 1, and the received signal r is takeni(n) less than 0.5 times the number of sample points;
2) taking the maximum value of the correlation spectrum modulus value as the identification statistic;
taking the maximum value of the correlation spectrum modulus value U (k) as an identification statistic, wherein R is max { U (k);
3) setting a threshold for identifying the MIMO space-time code;
and setting the corresponding threshold as th, and calculating by the following formula:wherein, PfaIn order to set the probability of a false alarm,is the variance of the sequence of the correlation spectrum,byEstimated to obtain inThe statistical average value of the correlation spectrum after 3-5 large spectral lines are removed;
4) comparing the maximum value of the correlation spectrum mode with a threshold, and identifying two space-time coding types of SM and AL in the MIMO signal;
when R is more than or equal to th, the code type is AL; when R < th, the code pattern is SM.
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CN106357369A (en) * | 2016-09-22 | 2017-01-25 | 金陵科技学院 | Method for identifying MIMO (multiple input multiple output) code types on basis of above-threshold features of correlation spectra |
CN106411803A (en) * | 2016-09-22 | 2017-02-15 | 金陵科技学院 | Hybrid modulation signal blind-processing result check method based on order statistic characteristics |
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CN106357369A (en) * | 2016-09-22 | 2017-01-25 | 金陵科技学院 | Method for identifying MIMO (multiple input multiple output) code types on basis of above-threshold features of correlation spectra |
CN106411803A (en) * | 2016-09-22 | 2017-02-15 | 金陵科技学院 | Hybrid modulation signal blind-processing result check method based on order statistic characteristics |
CN106443604A (en) * | 2016-09-22 | 2017-02-22 | 金陵科技学院 | Verification method for blind processing result of LFM/BPSK hybrid modulation signal |
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