{"title":"具有特定条件和联合矩约束的Cohen-Posch时频分布的加权最小二乘实现","authors":"M.K. Emresoy, P. Loughlin","doi":"10.1109/TFSA.1998.721421","DOIUrl":null,"url":null,"abstract":"A positivity constrained iterative weighted least-squares (WLS) method for constructing nonnegative joint time-frequency distributions (i.e., Cohen-Posch TFDs) satisfying marginal, joint moment, conditional moment and generalized marginal constraints is developed. The new algorithm solves the \"leakage\" problem of the least-squares approach and is computationally faster. It is also more computationally efficient than the MCE implementation of these constraints, developed by Loughlin, Pitton and Atlas (1994).","PeriodicalId":395542,"journal":{"name":"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)","volume":"259 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Weighted least-squares implementation of Cohen-Posch time frequency distributions with specified conditional and joint moment constraints\",\"authors\":\"M.K. Emresoy, P. Loughlin\",\"doi\":\"10.1109/TFSA.1998.721421\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A positivity constrained iterative weighted least-squares (WLS) method for constructing nonnegative joint time-frequency distributions (i.e., Cohen-Posch TFDs) satisfying marginal, joint moment, conditional moment and generalized marginal constraints is developed. The new algorithm solves the \\\"leakage\\\" problem of the least-squares approach and is computationally faster. It is also more computationally efficient than the MCE implementation of these constraints, developed by Loughlin, Pitton and Atlas (1994).\",\"PeriodicalId\":395542,\"journal\":{\"name\":\"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)\",\"volume\":\"259 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TFSA.1998.721421\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TFSA.1998.721421","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weighted least-squares implementation of Cohen-Posch time frequency distributions with specified conditional and joint moment constraints
A positivity constrained iterative weighted least-squares (WLS) method for constructing nonnegative joint time-frequency distributions (i.e., Cohen-Posch TFDs) satisfying marginal, joint moment, conditional moment and generalized marginal constraints is developed. The new algorithm solves the "leakage" problem of the least-squares approach and is computationally faster. It is also more computationally efficient than the MCE implementation of these constraints, developed by Loughlin, Pitton and Atlas (1994).
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