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：本文提出一类新型复值稀疏互补对，每个稀疏互补对由若干零值组成，且其两个组成序列的非周期自相关和互相关具有额外的零相关区特性。本文提出了基于受限广义布尔函数的稀疏互补对及其相互正交伙伴的直接构造方法。研究表明，此类稀疏互补对具有任意长度和可控稀疏度，使其成为现代低复杂度、低延迟、低存储信号处理应用中具有颠覆性的序列候选方案。