Sparsely Localized Time-Frequency Energy Distributions for Multi-Component LFM Signals

被引：18

作者：

Moghadasian, Seyed Saman ^{[1
]}

Gazor, Saeed ^{[2
]}

机构：

[1] Behbahan Khatam Alanbia Univ Technol, Dept Elect Engn, Behbahan 4718963616, Iran

[2] Queens Univ, Dept Elect & Comp Engn, Kingston, ON K7L 3N6, Canada

来源：

IEEE SIGNAL PROCESSING LETTERS | 2020年 / 27卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Ambiguity; localization; sparsity; chirp; REPRESENTATION;

D O I：

10.1109/LSP.2019.2951467

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This letter presents a high resolution method which separates close components of a multi-component linear frequency modulated (LFM) signal and eliminates their Cross-Terms (CTs). We first investigate the energy distribution of the Auto-Terms (ATs) and CTs in ambiguity plane. This reveals that the energy of the CTs of parallel close components is significant around the origin. We propose to mask the samples in which the CTs may have interferences with the ATs. This mask is signal-dependent and its directions are determined using the relationship between the radial slices of ambiguity function (AF) and the fractional Fourier transform (FrFT). Exploiting sparsity in time-frequency (TF) domain and by solving an $\ell _1$-norm minimization problem, the localized time-frequency distribution (TFD) is extracted from the acquired samples of the AF. Simulation results reveal significant improvements in the efficiency compared to previous works.

引用

页码：6 / 10

页数：5

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