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On Correlation Parameters for Some Binary Sequences of Lengths 31 and 63 for Spread-Spectrum Multiple-Access Communications.

David William Haguma Gahutu

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Abstract

The correlation parameters of some binary sequences of lengths 31 and 63 for spread-spectrum multiple-access (SSMA) communication are evaluated. The peak correlation parameters are the key parameters needed to determine the worst interference at any of the correlation receivers in a SSMA communications system due to the presence of other users and the multipath signals. These peak correlation parameters are readily obtained from the correlation data presented in this thesis. The performances of some new and old candidate sieves for optimal binary sequence phases are compared. When the number of binary sequences required exceeds the number in one set of a given family, one option is to use two or more sets of sequences from the family. This motivated the evaluation of the peak crosscorrelation between two different sets of Gold sequences of length 31. Finally the mean-square partial correlation parameters of some binary periodic sequences are computed. (Author)

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What this paper is about

The correlation parameters of some binary sequences of lengths 31 and 63 for spread-spectrum multiple-access (SSMA) communication are evaluated. The peak correlation parameters are the key parameters needed to determine the worst interference at any of the correlation receivers in a SSMA communications system due to the presence of other users and the multipath signals. These peak correlation parameters are readily obtained from the correlation data presented in this thesis. The performances of some new and old candidate sieves for optimal binary sequence phases are compared. When the number of binary sequences required exceeds the number in one set of a given family, one option is to use two or more sets of sequences from the family. This motivated the evaluation of the peak crosscorrelation between two different sets of Gold sequences of length 31. Finally the mean-square partial correlation parameters of some binary periodic sequences are computed. (Author)

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Available abstract

The correlation parameters of some binary sequences of lengths 31 and 63 for spread-spectrum multiple-access (SSMA) communication are evaluated. The peak correlation parameters are the key parameters needed to determine the worst interference at any of the correlation receivers in a SSMA communications system due to the presence of other users and the multipath signals. These peak correlation parameters are readily obtained from the correlation data presented in this thesis. The performances of some new and old candidate sieves for optimal binary sequence phases are compared. When the number of binary sequences required exceeds the number in one set of a given family, one option is to use two or more sets of sequences from the family. This motivated the evaluation of the peak crosscorrelation between two different sets of Gold sequences of length 31. Finally the mean-square partial correlation parameters of some binary periodic sequences are computed. (Author)

Key concepts: Binary number, Correlation, Mathematics, Spread spectrum, Pseudorandom binary sequence, Algorithm, Complementary sequences, Sequence (biology)

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On Correlation Parameters for Some Binary Sequences of Lengths 31 and 63 for Spread-Spectrum Multiple-Access Communications. — Research Paper | ScholarLens