Generalized bounds on the partial periodic correlation of complex roots of unity sequence set
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In this paper, the generalized bounds are derived on the partial periodic correlation of complex roots of unity sequence set with zero or low correlation zone (ZCZ/LCZ) as the important criteria of the sequence design and application. The derived bounds are with respect to family size, subsequence length, maximum partial autocorrelation sidelobe, maximum partial cross-correlation value and the ZCZ/LCZ. The results show that the derived bounds include the previous periodic bounds, such as Sarwate bound, Welch bound, Peng-Fan bound and Paterson-Lothian bound, as special cases.
Key wordsPartial correlation Zero correlation zone (ZCZ) Low correlation zone (LCZ) CDMA
CLC numberTN914; TN919
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