Discrete Wigner-Ville Distribution with Wide Frequency Observation Range

IF 0.3 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

IEICE Communications Express Pub Date : 2024-12-13 DOI:10.23919/comex.2024XBL0168

Tomoya Yamaoka;Tadashi Oshima

{"title":"Discrete Wigner-Ville Distribution with Wide Frequency Observation Range","authors":"Tomoya Yamaoka;Tadashi Oshima","doi":"10.23919/comex.2024XBL0168","DOIUrl":null,"url":null,"abstract":"The Wigner-Ville distribution (WVD) is a high-resolution time-frequency analysis method. However, the discrete WVD (DWVD) has the problem of a narrow frequency observation range. This is because the time sampling of the symmetric instantaneous auto-correlation function (SIAF) changes simultaneously in the positive and negative directions. As a result, the sampling period of the SIAF in the case of DWVD is doubled and the frequency observation range is halved. Therefore, we propose a DWVD that does not narrow the frequency observation range. Specifically, when deriving the SIAF, in addition to the conventional sample that varies in both the positive and negative directions, we consider a sample averaged over two samples that vary only in the positive or negative direction. The proposed process allows the DWVD to be performed without halving the frequency observation range. However, this process causes a small aliasing component, which can be reduced by the use of window functions. This study will demonstrate this effect by using the proposed method for chirp waveforms.","PeriodicalId":54101,"journal":{"name":"IEICE Communications Express","volume":"14 2","pages":"67-70"},"PeriodicalIF":0.3000,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10799926","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEICE Communications Express","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10799926/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

Abstract

The Wigner-Ville distribution (WVD) is a high-resolution time-frequency analysis method. However, the discrete WVD (DWVD) has the problem of a narrow frequency observation range. This is because the time sampling of the symmetric instantaneous auto-correlation function (SIAF) changes simultaneously in the positive and negative directions. As a result, the sampling period of the SIAF in the case of DWVD is doubled and the frequency observation range is halved. Therefore, we propose a DWVD that does not narrow the frequency observation range. Specifically, when deriving the SIAF, in addition to the conventional sample that varies in both the positive and negative directions, we consider a sample averaged over two samples that vary only in the positive or negative direction. The proposed process allows the DWVD to be performed without halving the frequency observation range. However, this process causes a small aliasing component, which can be reduced by the use of window functions. This study will demonstrate this effect by using the proposed method for chirp waveforms.

查看原文本刊更多论文

宽频率观测范围的离散Wigner-Ville分布

Wigner-Ville分布（WVD）是一种高分辨率时频分析方法。但是，离散WVD （DWVD）存在频率观测范围窄的问题。这是因为对称瞬时自相关函数（SIAF）的时间采样在正负方向上同时变化。因此，在DWVD情况下，SIAF的采样周期增加了一倍，频率观测范围减少了一半。因此，我们提出了一种不会缩小频率观测范围的DWVD。具体来说，在推导SIAF时，除了在正负方向上变化的常规样本外，我们还考虑仅在正负方向上变化的两个样本的平均样本。所提出的过程允许在不将频率观测范围减半的情况下执行DWVD。然而，这个过程会产生一个小的混叠分量，这可以通过使用窗口函数来减少。本研究将使用所提出的方法对啁啾波形进行验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

IEICE Communications Express ENGINEERING, ELECTRICAL & ELECTRONIC-

自引率

33.30%

发文量

114