A quantitative SNR analysis of LFM signals in the linear canonical transform domain with Gaussian windows
Yang Wu, Bing‐Zhao Li, Cheng Qiyuan · 2013
In this paper, the relationship between the linear canonical transform (LCT) and the Wigner-Ville distribution (WVD) is analyzed and proved. Based on this relationship, we present a quantitative signal-to-noise ratio (SNR) analysis of linear frequency modulated (LFM) signals in the LCT domain with Gaussian windows. The 3dB SNR definition is used. The SNR in LCT domain is compared with the SNRs in time domain, the short-time Fourier transform (STFT) domain and the pseudo-WVD domain, respectively, and come to a conclusion that the SNR in the LCT domain can achieve a significantly higher level than the SNRs in the other three domains. Some simulation results are presented to confirm the theoretical results.