{"title":"复信号高(偶)阶谱的可分解性:一个充要条件","authors":"J. Le Roux, C. Huet","doi":"10.1109/HOST.1997.613552","DOIUrl":null,"url":null,"abstract":"This communication presents a necessary and sufficient condition for the factorizability of higher order spectra of complex signals. This condition is based on the symmetries of higher order spectra and on an extension of a formula proposed by Marron, Sanchez and Sullivan for unwrapping phases of third order spectra (see J. Opt. Soc. Am. A, vol.7, p.14-20, 1990). It is an identity between products of higher order spectra. Our factorisability test requires no phase unwrapping.","PeriodicalId":305928,"journal":{"name":"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"17 4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Factorizability of complex signals higher (even) order spectra: a necessary and sufficient condition\",\"authors\":\"J. Le Roux, C. Huet\",\"doi\":\"10.1109/HOST.1997.613552\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This communication presents a necessary and sufficient condition for the factorizability of higher order spectra of complex signals. This condition is based on the symmetries of higher order spectra and on an extension of a formula proposed by Marron, Sanchez and Sullivan for unwrapping phases of third order spectra (see J. Opt. Soc. Am. A, vol.7, p.14-20, 1990). It is an identity between products of higher order spectra. Our factorisability test requires no phase unwrapping.\",\"PeriodicalId\":305928,\"journal\":{\"name\":\"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics\",\"volume\":\"17 4\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/HOST.1997.613552\",\"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 Signal Processing Workshop on Higher-Order Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HOST.1997.613552","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Factorizability of complex signals higher (even) order spectra: a necessary and sufficient condition
This communication presents a necessary and sufficient condition for the factorizability of higher order spectra of complex signals. This condition is based on the symmetries of higher order spectra and on an extension of a formula proposed by Marron, Sanchez and Sullivan for unwrapping phases of third order spectra (see J. Opt. Soc. Am. A, vol.7, p.14-20, 1990). It is an identity between products of higher order spectra. Our factorisability test requires no phase unwrapping.