基于时频自适应最优核的时频分析方法

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (1): 22-26.

基于时频自适应最优核的时频分析方法

王晓凯，高静怀，何洋洋

(西安交通大学波动与信息研究所, 陕西西安 710049)

出版日期:2010-01-23 发布日期:2010-01-03

Time-frequency analysis based on time-frequency-adaptive optimal-kernel

WANG Xiao-kai, GAO Jing-huai, HE Yang-yang

(Inst. of Wave and Information, Xi’an Jiaotong Univ., Xi’an 710049, China)

Online:2010-01-23 Published:2010-01-03

摘要/Abstract

摘要：

为了抑制多分量信号中同时间点各分量信号引起的交叉项干扰，提出了一种新的时频分析方法——时频自适应最优核时频表示。与以往的基于信号时频表示和时间自适应最优核时频表示不同，该方法通过对Wigner-Ville分布做二维加窗傅里叶变换以得到局部模糊函数，使得核函数不但能够随时间而自适应，而且能够随着频率而自适应。给出了该方法的实现步骤，通过将其用于分析合成信号，表明时频自适应最优核时频表示抑制交叉项效果明显，且能够比时间自适应最优核时频表示更为清楚地刻画信号。

Abstract:

A novel method of time-frequency analysis method called time-frequency-adaptive optimal-kernel time-frequency representation (TFR) is proposed to suppress the cross-term interference caused by components at the same time. Unlike signal dependent TFR and timeadaptive optimal-kernel TFR, the time-frequency-adaptive optimal-kernel TFR obtains local ambiguity function by applying 2D windowed Fourier transform to signal’s Wigner-Ville distribution, which allows the time-frequency-adaptive optimal-kernel TFR to adapt its kernel function not only to the time but also to the frequency. By applying to synthetic signal analysis, the proposed method shows a more legible result than time-adaptive optimal-kernel TFR and exhibits a better crossterm suppressing capability.

王晓凯，高静怀，何洋洋. 基于时频自适应最优核的时频分析方法[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 22-26.

WANG Xiao-kai, GAO Jing-huai, HE Yang-yang. Time-frequency analysis based on time-frequency-adaptive optimal-kernel[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 22-26.