{"title":"QPSK的最大长度序列","authors":"J. Komo, M. S. Lam","doi":"10.1109/SSST.1988.17069","DOIUrl":null,"url":null,"abstract":"Nonbinary m-sequences are developed for direct use in QPSK. These quaternary maximal-length sequences, which can be directly assigned to the four phases of QPSK, are generated from primitive polynomials whose coefficients are in the Galois field of 2/sup 2/ elements (GF(2/sup 2/)). The autocorrelation function for the quaternary m-sequence is shown to be two-level and the crosscorrelation function for preferred pairs of these quaternary m-sequences is shown to be three- and four-level, similar to the binary cases. A class of quaternary Gold codes for use in spread-spectrum multiple-access communication is developed for sequences whose coefficients are in GF(2/sup 2/).<<ETX>>","PeriodicalId":345412,"journal":{"name":"[1988] Proceedings. The Twentieth Southeastern Symposium on System Theory","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Maximal length sequences for QPSK\",\"authors\":\"J. Komo, M. S. Lam\",\"doi\":\"10.1109/SSST.1988.17069\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nonbinary m-sequences are developed for direct use in QPSK. These quaternary maximal-length sequences, which can be directly assigned to the four phases of QPSK, are generated from primitive polynomials whose coefficients are in the Galois field of 2/sup 2/ elements (GF(2/sup 2/)). The autocorrelation function for the quaternary m-sequence is shown to be two-level and the crosscorrelation function for preferred pairs of these quaternary m-sequences is shown to be three- and four-level, similar to the binary cases. A class of quaternary Gold codes for use in spread-spectrum multiple-access communication is developed for sequences whose coefficients are in GF(2/sup 2/).<<ETX>>\",\"PeriodicalId\":345412,\"journal\":{\"name\":\"[1988] Proceedings. The Twentieth Southeastern Symposium on System Theory\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1988] Proceedings. The Twentieth Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1988.17069\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1988] Proceedings. The Twentieth Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1988.17069","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
非二进制m序列被开发出来直接用于QPSK。这些四元最大长度序列由系数在2/sup 2/ elements (GF(2/sup 2/))的伽罗瓦域内的原始多项式生成，可直接分配给QPSK的四个相位。四元序列的自相关函数显示为两级，这些四元序列的首选对的互相关函数显示为三级和四级，类似于二元情况。针对系数为GF(2/sup 2/)的序列，开发了一类用于扩频多址通信的四元金码。
Nonbinary m-sequences are developed for direct use in QPSK. These quaternary maximal-length sequences, which can be directly assigned to the four phases of QPSK, are generated from primitive polynomials whose coefficients are in the Galois field of 2/sup 2/ elements (GF(2/sup 2/)). The autocorrelation function for the quaternary m-sequence is shown to be two-level and the crosscorrelation function for preferred pairs of these quaternary m-sequences is shown to be three- and four-level, similar to the binary cases. A class of quaternary Gold codes for use in spread-spectrum multiple-access communication is developed for sequences whose coefficients are in GF(2/sup 2/).<>
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