On mathematical derivations of auto-term functions and signal-to-noise ratios of the Choi-Williams, first- and nth-order hyperbolic kernels

被引：23

作者：

Le, KN

Dabke, KP

Egan, GK

机构：

[1] Griffith Univ, Sch Engn, Southport, Qld 4215, Australia

[2] Monash Univ, Dept Elect & Comp Syst Engn, Clayton, Vic 3168, Australia

来源：

DIGITAL SIGNAL PROCESSING | 2006年 / 16卷 / 01期

关键词：

Cohen's time-frequency distributions; signal-to-noise ratio; auto-term function; hyperbolic kernel; Choi-Williams kernel;

D O I：

10.1016/j.dsp.2005.04.006

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 [电气工程]; 0809 [电子科学与技术];

摘要：

This paper continues investigations on the hyperbolic kernel family [K.N. Le et al., Opt. Eng. 42 (8) (2003) 2400-2415] by giving further mathematical insight into auto-term and noise robustness properties of the first-order hyperbolic, Choi-Williarns (CW) and nth-order hyperbolic kernels, for which explicit expressions are derived and approximated for useful values of kernel control parameters beta, sigma and kernel order it. Simulation results are also given to support the mathematical approximations. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：84 / 104

页数：21

共 14 条

[1]

Minimum variance time-frequency distribution kernels for signals in additive noise [J].