Spreading code design using a global optimization method

Spreading code design using a global optimization method

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Article ID: iaor20052004
Country: Netherlands
Volume: 133
Issue: 1
Start Page Number: 249
End Page Number: 264
Publication Date: Jan 2005
Journal: Annals of Operations Research
Authors: , , ,
Keywords: programming: mathematical
Abstract:

The performance of a code division multiple access system depends on the correlation properties of the employed spreading code. Low cross-correlation values between spreading sequences are desired to suppress multiple access interference and to improve bit error performance. An auto-correlation function with a distinct peak enables proper synchronization and suppresses intersymbol interference. However, these requirements contradicted each other and a trade-off needs to be established. In this paper, a global two dimensional optimization method is proposed to minimize the out-of-phase average mean-square aperiodic auto-correlation with average mean-square aperiodic cross-correlation being allowed to lie within a fixed region. This approach is applied to design sets of complex spreading sequences. A design example is presented to illustrate the relation between various correlation characteristics. The correlations of the obtained sets are compared with correlations of other known sequences.

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