Variance-SNR Based Noise Suppression on Linear Canonical Choi-Williams Distribution of LFM Signals  

作　　者：ZHANG Zhichao 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China [2]School of Computer Science and Engineering,Macao University of Science and Technology,Macao 999078,China

出　　处：《Chinese Journal of Electronics》2022年第5期804-820,共17页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (61901223);the Natural Science Foundation of Jiangsu Province (BK20190769);the Jiangsu Planned Projects for Postdoctoral Research Funds (2021K205B);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (19KJB510041);the Jiangsu Province High-Level Innovative and Entrepreneurial Talent Introduction Program (R2020SCB55);the Macao Young Scholars Program (AM2020015);the Startup Foundation for Introducing Talent of NUIST (2019r024)

摘　　要：By solving the existing expectation-signal-to-noise ratio(expectation-SNR)based inequality model of the closed-form instantaneous cross-correlation function type of Choi-Williams distribution(CICFCWD),the linear canonical transform(LCT)free parameters selection strategies obtained are usually unsatisfactory.Since the second-order moment variance outperforms the first-order moment expectation in accurately characterizing output SNRs,this paper uses the variance analysis technique to improve parameters selection strategies.The CICFCWD’s average variance of deterministic signals embedded in additive zero-mean stationary circular Gaussian noise processes is first obtained.Then the so-called variance-SNRs are defined and applied to model a variance-SNR based inequality.A stronger inequalities system is also formulated by integrating expectation-SNR and variance-SNR based inequality models.Finally,a direct application of the system in noisy one-component and bi-component linear frequency-modulated(LFM)signals detection is studied.Analytical algebraic constraints on LCT free parameters newly derived seem more accurate than the existing ones,achieving better noise suppression effects.Our methods have potential applications in optical,radar,communication and medical signal processing.

关 键 词：Average variance Choi-Williams distribution Linear canonical transform Linear frequencymodulated signal 

分 类 号：TN911.4[电子电信—通信与信息系统]