Some novel results on 1D and 2D sequences with zero correlation zone

Abstract

For one-dimensional (1D) and two-dimensional (2D) binary, ternary and polyphase sequence set with zero correlation zone (ZCZ), generalized methods of extension of family size are proposed at the cost of decreasing width of ZCZ, based on left shift operator or chip shift operator. Enlarged family size will multiply the original size in keeping with the reduction of width of ZCZ. These approaches can satisfy systems requirement to sequence set with large family size in communications, radar and navigation systems. In addition, lower bounds for 2D sequences with ZCZ or low correlation zone (LCZ) are presented as well.