Detection of LFM Signal in Fractional Fourier Domain Based on Compressed Sensing

A novel algorithm based on compressed sensing is proposed for LFM signal detection. Because LFM signal has the property of sparsity in fractional Fourier transform domain，construct the FrFT matrix as the sparse transform base，with a small amount of random projection of the signal，solve the coefficient vector of the signal in the FrFT domain，then perform threshold detection on the obtained coefficient vector，and thus achieve the purpose of detecting the signal of interest. Theoretical analysis and experiment results show that when the points of random projection are far less than that of Nyquist sampling，the proposed algorithm can accurately detect the LFM signal of interest. Compared with the waveform-matched algorithm，the proposed algorithm can obtain higher probability of de? tection under the same SNR.