A quantitative SNR analysis of LFM signals in the linear canonical transform domain with Gaussian windows

Author

Wu Yang ; Li Bing-Zhao ; Cheng Qi-Yuan

Author_Institution

Sch. of Math., Beijing Inst. of Technol., Beijing, China

fYear

2013

fDate

20-22 Dec. 2013

Firstpage

1426

Lastpage

1430

Abstract

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.

Keywords

Fourier transforms; Gaussian distribution; frequency modulation; Gaussian windows; LCT domain; LFM signals; STFT domain; Wigner-Ville distribution; linear canonical transform domain; linear frequency modulated signals; pseudoWVD domain; quantitative SNR analysis; quantitative signal-to-noise ratio analysis; short-time Fourier transform domain; Fourier transforms; Signal to noise ratio; Simulation; Time-domain analysis; Gaussian window; LFM signal; Linear canonical transform; SNR analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronic Sciences, Electric Engineering and Computer (MEC), Proceedings 2013 International Conference on

Conference_Location

Shengyang

Print_ISBN

978-1-4799-2564-3

Type

conf

DOI

10.1109/MEC.2013.6885291

Filename

6885291