Matched Wigner Transform and Its Application to Instantaneous Frequency Estimation

XU Ling-ji; YANG Yi-xin; YANG Long

doi:10.3969/j.issn.0372-2112.2014.11.018

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Matched Wigner Transform and Its Application to Instantaneous Frequency Estimation

更新时间：2025-07-16

- Matched Wigner Transform and Its Application to Instantaneous Frequency Estimation
- Acta Electronica Sinica Vol. 42, Issue 11, Pages: 2247-2252(2014)
- 作者机构：
  
  西北工业大学航海学院,陕西,西安,710072
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.11274253)
- DOI：10.3969/j.issn.0372-2112.2014.11.018
  CLC： TN911.7
- Published：2014
- 稿件说明：
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XU Ling-ji, YANG Yi-xin, YANG Long. Matched Wigner Transform and Its Application to Instantaneous Frequency Estimation[J]. Acta Electronica Sinica, 2014, 42(11): 2247-2252.
DOI：

XU Ling-ji, YANG Yi-xin, YANG Long. Matched Wigner Transform and Its Application to Instantaneous Frequency Estimation[J]. Acta Electronica Sinica, 2014, 42(11): 2247-2252. DOI： 10.3969/j.issn.0372-2112.2014.11.018.

摘要

提出了一种新的时频分析方法

称为匹配Wigner变换(Matched Wigner Transform

MWT).该变换通过泰勒级数扩展傅立叶旋转因子e

-j

来匹配双线性信号核

能够对单分量高阶多项式相位信号(Polynomial Phase Signal

PPS)分析得到聚集性最优的时频分布(Time Frequency Distribution

TFD)

且克服了自交叉项的干扰.基于MWT

给出了一种有效实现PPS的瞬时频率(Instantaneous Frequency

IF)和参量估计的迭代算法

并通过仿真算例验证了算法的有效性.最后

将该方法应用于水下运动声源的微弱多普勒信号分析

得到良好的海试试验结果.

Abstract

A novel time-frequency analysis method referred to as matched Wigner transform (MWT) was defined in this paper.By matching bilinear signal kernel with Taylor extended Fourier revolving factor

MWT can produce a time-frequency distribution (TFD) with best concentration and without inner artifacts for mono-component high-order polynomial phase signal (PPS).In addition

an effective parameter and instantaneous frequency (IF) estimation algorithm was proposed based on MWT.The algorithm was validated by simulation examples.Finally

excellent sea experiment results were obtained when applying it to analyze the weak Doppler signal of underwater moving acoustic source.

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