{"title":"An OACF-Preserving Operation Based on Parker’s Transformation","authors":"Geyang Wang, Qi Wang","doi":"10.1109/IWSDA46143.2019.8966094","DOIUrl":null,"url":null,"abstract":"Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the three operations, negacyclic shift, decimation, and negation, preserve the odd-periodic autocorrelation function (OACF) in general. In this paper, we define a new operation based on Parker’s transformation, which also preserves the OACF of binary sequences. This enables us to classify Parker’s 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker’s transformation.","PeriodicalId":326214,"journal":{"name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA46143.2019.8966094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the three operations, negacyclic shift, decimation, and negation, preserve the odd-periodic autocorrelation function (OACF) in general. In this paper, we define a new operation based on Parker’s transformation, which also preserves the OACF of binary sequences. This enables us to classify Parker’s 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker’s transformation.
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