{"title":"偶移正交序列的性质","authors":"S. Matsufuji, T. Matsumoto, K. Funakoshi","doi":"10.1109/IWSDA.2007.4408353","DOIUrl":null,"url":null,"abstract":"This paper investigates properties of the even-shift orthogonal sequence of length 2n, whose out-of-phase aperiodic auto-correlation function takes zero at any even shift. It is shown that the halves of all E-sequences with odd n produced by logic functions are balanced sequences, whose elements 1 and -1 appear half, and there is not any balanced e-sequence for even n. Furthermore it is also shown that the aperiodic auto-correlation function possesses low values at odd shifts.","PeriodicalId":303512,"journal":{"name":"2007 3rd International Workshop on Signal Design and Its Applications in Communications","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Properties of Even-Shift Orthogonal Sequences\",\"authors\":\"S. Matsufuji, T. Matsumoto, K. Funakoshi\",\"doi\":\"10.1109/IWSDA.2007.4408353\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates properties of the even-shift orthogonal sequence of length 2n, whose out-of-phase aperiodic auto-correlation function takes zero at any even shift. It is shown that the halves of all E-sequences with odd n produced by logic functions are balanced sequences, whose elements 1 and -1 appear half, and there is not any balanced e-sequence for even n. Furthermore it is also shown that the aperiodic auto-correlation function possesses low values at odd shifts.\",\"PeriodicalId\":303512,\"journal\":{\"name\":\"2007 3rd International Workshop on Signal Design and Its Applications in Communications\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 3rd International Workshop on Signal Design and Its Applications in Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWSDA.2007.4408353\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 3rd International Workshop on Signal Design and Its Applications in Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2007.4408353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper investigates properties of the even-shift orthogonal sequence of length 2n, whose out-of-phase aperiodic auto-correlation function takes zero at any even shift. It is shown that the halves of all E-sequences with odd n produced by logic functions are balanced sequences, whose elements 1 and -1 appear half, and there is not any balanced e-sequence for even n. Furthermore it is also shown that the aperiodic auto-correlation function possesses low values at odd shifts.