This paper presents a novel class of complex-valued sparse complementary pairs (SCPs), each consisting of a number of zero values and with additional zero-correlation zone (ZCZ) property for the aperiodic autocorrelations and crosscorrelations of the two constituent sequences. Direct constructions of SCPs and their mutually-orthogonal mates based on restricted generalized Boolean functions are proposed. It is shown that such SCPs exist with arbitrary lengths and controllable sparsity levels, making them a disruptive sequence candidate for modern low-complexity, low-latency, and low-storage signal processing applications.
翻译:----
本文提出了一种新颖的复数稀疏互补对(SCP)类,每个SCP都由若干个零值组成,并具有额外的零相关区(ZCZ)属性,用于两个构成序列的非周期自相关和交叉相关。提出了基于受限广义布尔函数的SCP及其相互正交的配对的直接构造方法。证明了这样的SCP在任意长度和可控稀疏度下存在,使其成为现代低复杂度、低延迟和低存储信号处理应用中的一种颠覆性序列候选。