Nonnegative time-frequency distributions for parametric time-frequency representations using semi-affine transformation group

被引：4
|
作者：
Zou, HX [1 ]
Wang, DJ
Zhang, XD
Li, YD
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] Tsinghua Univ, State Key Lab Intelligent Technol & Syst, Beijing 100084, Peoples R China
[3] Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
[4] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
SIGNAL PROCESSING | 2005年 / 85卷 / 09期
基金：
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词：
nonnegative time-frequency distribution; Wigner-Ville distribution; FM(m)let transform; Dopplerlet transform; semi-affine transformation (SAT) group; instantaneous frequency; parametric atomic decomposition; matching pursuit;
D O I：
10.1016/j.sigpro.2005.03.015
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 paper proposes a method for calculating a nonnegative time-frequency distribution (TFD) whose concentration is identical to that of Wigner-Ville distribution ( WD) when instantaneous frequencies (IFs) of the best-matched elementary functions of the signal under analysis are pre-estimated. This method is based on a special class of transformation group, referred to as semi-affine transformation (SAT) group. The essence of this method is to create a joint distribution by translating the values of WVDs of Morlet wavelet to the positions around IFs of the best-matched elementary functions. Theoretical predictions and numerical results indicate that the proposed strategy can result in the most visually appealing TFDs for highly nonstationary signals. (C) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：1813 / 1826
页数：14
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