{"title":"最小带宽基函数的第四矩带宽测量","authors":"E. A. Fain, Lockheed Martin","doi":"10.1109/ISIT.2000.866714","DOIUrl":null,"url":null,"abstract":"We present a fourth-moment measure of the \"bandwidth\" of a strictly time-limited signal and obtain a minimum bandwidth basis for /spl Lscr//sup 2/(a,b). Such a basis consists of orthonormal waveforms with the smallest obtainable bandwidths. The primary advantage of the fourth-moment bandwidth relative to the root mean square (RMS) and fractional out-of-band energy (FOBE) measures is that its basis functions have a O(1/f/sup 3/) frequency roll-off compared to the O(1/f/sup 2/) and O(1/f) decay of the RMS and FOBE basis functions, respectively.","PeriodicalId":108752,"journal":{"name":"2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Minimum bandwidth basis functions for the fourth-moment bandwidth measure\",\"authors\":\"E. A. Fain, Lockheed Martin\",\"doi\":\"10.1109/ISIT.2000.866714\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a fourth-moment measure of the \\\"bandwidth\\\" of a strictly time-limited signal and obtain a minimum bandwidth basis for /spl Lscr//sup 2/(a,b). Such a basis consists of orthonormal waveforms with the smallest obtainable bandwidths. The primary advantage of the fourth-moment bandwidth relative to the root mean square (RMS) and fractional out-of-band energy (FOBE) measures is that its basis functions have a O(1/f/sup 3/) frequency roll-off compared to the O(1/f/sup 2/) and O(1/f) decay of the RMS and FOBE basis functions, respectively.\",\"PeriodicalId\":108752,\"journal\":{\"name\":\"2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060)\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2000.866714\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2000.866714","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Minimum bandwidth basis functions for the fourth-moment bandwidth measure
We present a fourth-moment measure of the "bandwidth" of a strictly time-limited signal and obtain a minimum bandwidth basis for /spl Lscr//sup 2/(a,b). Such a basis consists of orthonormal waveforms with the smallest obtainable bandwidths. The primary advantage of the fourth-moment bandwidth relative to the root mean square (RMS) and fractional out-of-band energy (FOBE) measures is that its basis functions have a O(1/f/sup 3/) frequency roll-off compared to the O(1/f/sup 2/) and O(1/f) decay of the RMS and FOBE basis functions, respectively.
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