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On a Use of Golay Sequences for Asynchronous DS CDMA Applications

Jennifer Seberry, Beata J. Wysocki, Tadeusz A. Wysocki

Open publisher page 14 citations

Abstract

Golay complementary sequences, often referred to as Golay pairs, are characterized by the property that the sum of their aperiodic autocorrelation functions equals to zero, except for the zero shift. Because of this property, Golay complementary sequences can be utilized to construct Hadamard matrices defining sets of orthogonal spreading sequences for DS CDMA systems of the lengths not necessary being a power of 2. In the paper, we present an evaluation, from the viewpoint of asynchronous DS CDMA applications, of some sets of spreading sequences derived from Golay complementary sequences. We then modify those sets of sequences to enhance their correlation properties for asynchronous operation and simulate a multiuser DS CDMA system utilizing the modified sequences.

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What this paper is about

Golay complementary sequences, often referred to as Golay pairs, are characterized by the property that the sum of their aperiodic autocorrelation functions equals to zero, except for the zero shift. Because of this property, Golay complementary sequences can be utilized to construct Hadamard matrices defining sets of orthogonal spreading sequences for DS CDMA systems of the lengths not necessary being a power of 2. In the paper, we present an evaluation, from the viewpoint of asynchronous DS CDMA applications, of some sets of spreading sequences derived from Golay complementary sequences. We then modify those sets of sequences to enhance their correlation properties for asynchronous operation and simulate a multiuser DS CDMA system utilizing the modified sequences.

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Available abstract

Golay complementary sequences, often referred to as Golay pairs, are characterized by the property that the sum of their aperiodic autocorrelation functions equals to zero, except for the zero shift. Because of this property, Golay complementary sequences can be utilized to construct Hadamard matrices defining sets of orthogonal spreading sequences for DS CDMA systems of the lengths not necessary being a power of 2. In the paper, we present an evaluation, from the viewpoint of asynchronous DS CDMA applications, of some sets of spreading sequences derived from Golay complementary sequences. We then modify those sets of sequences to enhance their correlation properties for asynchronous operation and simulate a multiuser DS CDMA system utilizing the modified sequences.

Key concepts: Binary Golay code, Complementary sequences, Asynchronous communication, Code division multiple access, Aperiodic graph, Hadamard transform, Autocorrelation, Mathematics

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