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：本文提出了一类新型复值稀疏互补对（SCPs），每个SCP由若干零值组成，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（ZCZ）特性。基于受限广义布尔函数，我们提出了SCP及其相互正交配偶的直接构造方法。研究表明，此类SCP可具有任意长度和可控的稀疏度水平，使其成为现代低复杂度、低延迟和低存储信号处理应用中具有颠覆性潜力的序列候选方案。