{"title":"带时间偏移的数字调制信号的峰度","authors":"H. Mathis","doi":"10.1109/SPAWC.2001.923850","DOIUrl":null,"url":null,"abstract":"Beside being a renowned parameter in signal classification, the kurtosis of a source signal is an indicator of the separation difficulty in blind signal separation and deconvolution. Whereas the maximum kurtosis is unbounded, the lower bound on the minimum kurtosis is -2. This means that the family of sub-Gaussian signals, to which most modulated communication signals belong, have an inherent limit in their suitability for blind techniques. Furthermore, the kurtosis of a composite signal has bounds which depend on the kurtoses of the constituent signals. Exact expressions for the kurtoses for a number of digital modulation formats are derived, and the influence of sampling-time accuracy to the kurtosis of the sampled signal is investigated.","PeriodicalId":435867,"journal":{"name":"2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"32","resultStr":"{\"title\":\"On the kurtosis of digitally modulated signals with timing offsets\",\"authors\":\"H. Mathis\",\"doi\":\"10.1109/SPAWC.2001.923850\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Beside being a renowned parameter in signal classification, the kurtosis of a source signal is an indicator of the separation difficulty in blind signal separation and deconvolution. Whereas the maximum kurtosis is unbounded, the lower bound on the minimum kurtosis is -2. This means that the family of sub-Gaussian signals, to which most modulated communication signals belong, have an inherent limit in their suitability for blind techniques. Furthermore, the kurtosis of a composite signal has bounds which depend on the kurtoses of the constituent signals. Exact expressions for the kurtoses for a number of digital modulation formats are derived, and the influence of sampling-time accuracy to the kurtosis of the sampled signal is investigated.\",\"PeriodicalId\":435867,\"journal\":{\"name\":\"2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471)\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"32\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SPAWC.2001.923850\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPAWC.2001.923850","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the kurtosis of digitally modulated signals with timing offsets
Beside being a renowned parameter in signal classification, the kurtosis of a source signal is an indicator of the separation difficulty in blind signal separation and deconvolution. Whereas the maximum kurtosis is unbounded, the lower bound on the minimum kurtosis is -2. This means that the family of sub-Gaussian signals, to which most modulated communication signals belong, have an inherent limit in their suitability for blind techniques. Furthermore, the kurtosis of a composite signal has bounds which depend on the kurtoses of the constituent signals. Exact expressions for the kurtoses for a number of digital modulation formats are derived, and the influence of sampling-time accuracy to the kurtosis of the sampled signal is investigated.
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