Cross-Terms and Spectral Leakage Minimization in Time-Frequency Distribution

被引：0

作者：

Seddighi, Zahra ^{[1
]}

Taban, Mohammad Reza ^{[1
]}

Gazor, Saeed ^{[2
]}

机构：

[1] Isfahan Univ Technol, Dept Elect & Comp Engn, Esfahan 8415683111, Iran

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

来源：

IEEE SIGNAL PROCESSING LETTERS | 2024年 / 31卷

关键词：

Kernel; Time-frequency analysis; Noise; Signal resolution; Discrete Fourier transforms; Three-dimensional displays; Estimation; Cross-term; quadratic; resolution; signal to noise ratio; time-delay domain; time-frequency distribution; SIGNALS; ALGORITHM;

D O I：

10.1109/LSP.2024.3438089

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：

Non-stationary signals in several applications appear sparse in the time-frequency (TF) domain. In this letter, we optimize a quadratic TF distribution (QTFD) versus its kernel by exploiting this property by maximizing power per nonzero components in the TFD domain. This approach reduces the number of large cross-terms (CTs) values while preserving auto-terms. This optimization is conducted by introducing an efficient approximation of l(0) and l(1) norm without any assumption about auto-terms' locations and CTs in the TF domain. The proposed TFD exhibits superior performance in instantaneous frequency (IF) estimation and fewer CTs than the state-of-the-art TFDs.

引用

页码：2025 / 2029

页数：5

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