Direct Constructions of Multiple Shift Complementary Sets of Flexible Lengths
Information Theory
2023-05-12 v2 math.IT
Abstract
Golay complementary set (GCS) plays a vital role in reducing peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency division multiplexing (OFDM). A more general version of GCS is a multiple shift complementary set (MSCS), where by relaxing the condition of zero auto-correlation sum throughout all the non-zero time shifts to the integer multiples of some fixed time shift, more sequence sets can be made available. In this paper, we propose direct constructions of MSCSs with flexible and arbitrary lengths and flexible set sizes, by using multivariable functions, which have not been reported before.
Keywords
Cite
@article{arxiv.2305.04698,
title = {Direct Constructions of Multiple Shift Complementary Sets of Flexible Lengths},
author = {Abhishek Roy and Sudhan Majhi},
journal= {arXiv preprint arXiv:2305.04698},
year = {2023}
}