Vehicle-mounted rail frequency shift signal rapid compression method based on compressed sensing
A technology of compressive sensing and compression method, which is applied in the field of fast compression of vehicle track frequency-shifting signals based on compressive sensing, which can solve the problems of constant compression ratio, inability to adjust the compression ratio for efficient compression, and inability to effectively solve practical needs, etc., and achieve high compression efficiency. , reduce bandwidth requirements and transmission delay, and achieve good real-time performance
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[0044] According to formula (1), the track frequency shift signal x={x(i), i=1,2,...,N} is generated T , where, the amplitude A=1, the carrier frequency f c =1700Hz, low frequency f 0 =12.5Hz, sampling rate f s =8000Hz, signal-to-noise ratio SNR=15dB, signal length N=2000, the time domain waveform is as follows figure 1 shown.
[0045] The present invention includes two processes of compression and decompression, wherein the compression process (see image 3 ) The specific steps are:
[0046] (1.1) Calculate the sparsity K=||x|| 0 =1902;
[0047] (1.2) Since K does not satisfy K≤N / 100, the frequency domain coefficient θ={θ(i), i=1,2,...,N} of x is obtained by performing FFT fast Fourier transform on x T =FFT(x), whose waveform is as figure 2 shown, and calculate the sparsity K=||θ|| 0 , set Flag=1;
[0048] (1.3) Select the observation dimension M to satisfy This embodiment takes c=1, M=200, and constructs an observation matrix with M rows and N columns that satis...
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