{"title":"Polynomial Wigner-Ville distributions and time-varying higher-order spectra","authors":"B. Boashash, Branko Ristich","doi":"10.1109/TFTSA.1992.274240","DOIUrl":null,"url":null,"abstract":"The concept of reduced time-varying higher-order spectra based on polynomial Wigner-Ville distributions (PWVDs) is presented. Two members of a class of PWVDs are illustrated, each dedicated to a specific problem that cannot be optimally solved using Cohen's class of bilinear (second order) time-frequency distributions. Polynomial WVDs are shown to preserve or generalize many properties of the WVD. The case of multicomponent signals is addressed, and higher-order time-frequency distributions are defined.<<ETX>>","PeriodicalId":105228,"journal":{"name":"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TFTSA.1992.274240","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
Abstract
The concept of reduced time-varying higher-order spectra based on polynomial Wigner-Ville distributions (PWVDs) is presented. Two members of a class of PWVDs are illustrated, each dedicated to a specific problem that cannot be optimally solved using Cohen's class of bilinear (second order) time-frequency distributions. Polynomial WVDs are shown to preserve or generalize many properties of the WVD. The case of multicomponent signals is addressed, and higher-order time-frequency distributions are defined.<>