Direct Constructions of Multiple Shift Complementary Sets of Flexible Lengths

2023/05/08 by Abhishek Roy, Roy, Abhishek, Sudhan Majhi +1
Computer Science · Engineering · #FOS: Computer and information sciences #Information Theory (cs.IT) #PAPR reduction in OFDM #Wireless Communication Networks Research #graph theory and CDMA systems

paper · doi:10.48550/arxiv.2305.04698

openalex publication_date 2023/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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.

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