{"title":"Simple implementations of mutually orthogonal complementary sets of sequences","authors":"Xiaojing Huang","doi":"10.1109/ISPACS.2005.1595423","DOIUrl":null,"url":null,"abstract":"This paper presents simple software and hardware implementations for a class of mutually orthogonal complementary sets of sequences based on its closed-form construction formula. Following a brief review of the Golay-paired Hadamard matrix concept, the flow graph for constructing mutually orthogonal Golay-paired Hadamard matrices, which represent the scalable complete complementary sets of sequences, is proposed. Then, their superb scalability and completeness are summarized. Finally, the C and Matlab functions and a logic schematic diagram are given to easily generate these complementary sequences.","PeriodicalId":385759,"journal":{"name":"2005 International Symposium on Intelligent Signal Processing and Communication Systems","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2005 International Symposium on Intelligent Signal Processing and Communication Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPACS.2005.1595423","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
This paper presents simple software and hardware implementations for a class of mutually orthogonal complementary sets of sequences based on its closed-form construction formula. Following a brief review of the Golay-paired Hadamard matrix concept, the flow graph for constructing mutually orthogonal Golay-paired Hadamard matrices, which represent the scalable complete complementary sets of sequences, is proposed. Then, their superb scalability and completeness are summarized. Finally, the C and Matlab functions and a logic schematic diagram are given to easily generate these complementary sequences.
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