摘要
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.
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 crosscorrelation 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.
基金
Project supported by the National Natural Science Foundation of China (Nos. 60772087 and 90604035), the 111 Project
the Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 200341)