Orthogonal bipolar spreading sequences are used in direct sequence code division multiple acces (DS-CDMA) systems for both spectrum spreading and channel separation. The most commonly used sequences are Walsh-Hadamard sequences of lenghts being an integer power of 2. A construction based on Williamson's arrays leading to sequences of lengths N ≡ 4(mod 8) is presented in the paper. Aperiodic correlation characteristics, for example sequence sets of lengths 12-252 are presented. The correlation properties of the sequence sets are later improved using a diagonal modification technique.
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Citation
Jennifer Seberry, Beata J. Wysocki and Tadeusz A. Wysocki Williamson-Hadamard Spreading Sequences for DS-CDMA Applications, Special Issue on "Coding and Its Applications in CDMA Wireless Systems", Journal of Wireless Communications and Mobile Computing. 3 (2003), 597-607.