A Fast Compression Method for Frequency-Shifted Signals of Vehicular Tracks Based on Compressive 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 actual 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 the formula (1), generate orbital frequency shift signal x={x(i), i=1,2,...,N} T , where, amplitude A=1, 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, its 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|| of the orbital frequency shift signal x 0 = 1902;
[0047] (1.2) Since K does not satisfy K≤N / 100, perform FFT fast Fourier transform on x to obtain the frequency domain coefficient θ={θ(i),i=1,2,...,N} T =FFT(x), its 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 c...
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