Parameters Estimation Algorithm of Linear Frequency Modulated Continuous Wave Signals Based on Period Choi-Williams Hough Transform

When using a Choi-Williams Hough (CWH) transform to estimate the parameters of the Linear Frequency Modulated Continuous Wave (LFMCW) signals, the signal observation time is longer than a period, the output SNR at the true parameter value does not increase with the observation time increasing and there are multiple peaks in the time-frequency image. In virtue of the energy congregation of CWH for LFMCW signals and the coherent integrator in signal processing, a multiple period LFMCW signals parameters estimation method based on period CWH (PCWH) is studied. Firstly, the PCWH formula of the multiple period LFMCW signals is given. Then the relationship among the output SNR of PCWH, the observation time and the sample signal SNR is analyzed. Finally, the estimation accuracy formula of PCWH is derived. The numerical simulation shows that the effectiveness of the proposed method and the PCWH is superior to CWH for estimating a multiple periods LFMCW signal.