Parameters estimation of hybrid modulated signal combining BPSK and LFM Based on Born-Jordan Distribution

Abstract Aiming at the problem of the estimation of hybrid modulated signal combining Binary Phase Shift Keying and Linear Frequency Modulation (LFM-BPSK), the existing methods have low estimation accuracy in low SNR. To solve this problem, the algorithm based on Born-Jordan time-frequency distribution (BJD) is proposed, which uses the Hough transform (HT) to estimate the initial frequency and chirp rate of LFM-BPSK signal, and then estimates the code element width by dimensionality reduction time-domain signal. Finally, simulation experiments show that the parameter estimation accuracy of the proposed algorithm under low SNR is significantly better than that of existing algorithms, and the performance is close to MCRLB.