Sparse Complementary Pairs with Additional Aperiodic ZCZ Property
Information Theory
2023-05-02 v2 math.IT
Abstract
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.
Keywords
Cite
@article{arxiv.2304.08583,
title = {Sparse Complementary Pairs with Additional Aperiodic ZCZ Property},
author = {Cheng-Yu Pai and Zilong Liu and Chunlei Li and Chao-Yu Chen},
journal= {arXiv preprint arXiv:2304.08583},
year = {2023}
}