On Shift Sequences for Interleaved Construction of Sequence Sets with Low Correlation

Details On Shift Sequences for Interleaved Construction of Sequence Sets with Low Correlation On Shift Sequences for Interleaved Construction of Sequence Sets with Low Correlation

2006-10-04

arxiv.org/abs/cs/0610012v2

Computer Science

Information Theory

Corrected typos. Added special case for v=2 for second problem

Scientific paper

Construction of signal sets with low correlation property is of interest to designers of CDMA systems. One of the preferred ways of constructing such sets is the interleaved construction which uses two sequences a and b with 2-level autocorrelation and a shift sequence e. The shift sequence has to satisfy certain conditions for the resulting signal set to have low correlation properties. This article shows that the conditions reported in literature are too strong and gives a version which results in more number of shift sequences. An open problem on the existence of shift sequences for attaining an interleaved set with maximum correlation value bounded by v+2 is also taken up and solved.

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