{"title":"The role of frequency hopping in today's digital communications","authors":"S. Maric, O. Moreno","doi":"10.1109/ISSSTA.1998.722525","DOIUrl":null,"url":null,"abstract":"We investigate the capacity of an OOK FH CDMA channel. We assume random FH codes and that the i-th receiver is only interested in the message transmitted by the i-th transmitter. The degradation of the AWGN and non-selective Rayleigh fading environments on the FH system are also investigated. We then give an algebraic construction of a new family of FH codes. The construction is based on the property of cyclic groups in finite fields; it is shown that for each field GF(p/sup m/) there exists a large number of codes of length p/sup m/. The codes are also shown to possess the best possible two-dimensional auto- and cross-correlation properties.","PeriodicalId":116377,"journal":{"name":"1988 IEEE 5th International Symposium on Spread Spectrum Techniques and Applications - Proceedings. Spread Technology to Africa (Cat. No.98TH8333)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 IEEE 5th International Symposium on Spread Spectrum Techniques and Applications - Proceedings. Spread Technology to Africa (Cat. No.98TH8333)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISSSTA.1998.722525","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

Abstract

We investigate the capacity of an OOK FH CDMA channel. We assume random FH codes and that the i-th receiver is only interested in the message transmitted by the i-th transmitter. The degradation of the AWGN and non-selective Rayleigh fading environments on the FH system are also investigated. We then give an algebraic construction of a new family of FH codes. The construction is based on the property of cyclic groups in finite fields; it is shown that for each field GF(p/sup m/) there exists a large number of codes of length p/sup m/. The codes are also shown to possess the best possible two-dimensional auto- and cross-correlation properties.
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跳频在当今数字通信中的作用
我们研究了OOK跳频CDMA信道的容量。我们假设跳频码是随机的,并且第i个接收端只对第i个发送端发送的消息感兴趣。研究了跳频系统中AWGN和非选择性瑞利衰落环境的退化。然后给出了一个新的跳频码族的代数构造。该构造基于有限域上循环群的性质;结果表明,对于每个域GF(p/sup m/),存在大量长度为p/sup m/的码。这些码也被证明具有最好的二维自相关和互相关特性。
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