Construction of Binary Odd Shift Complementary Pairs of All Lengths

Priyanshu, P and Majhi, S and Paul, S (2024) Construction of Binary Odd Shift Complementary Pairs of All Lengths. In: 2024 IEEE International Symposium on Information Theory, ISIT 2024, 7 July 2024 - 12 July 2024, Athens, pp. 1753-1757.

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Abstract

In orthogonal frequency division multiplexing (OFDM), peak-to-mean envelope power ratio (PMEPR) plays a vital role in the system's performance. In binary Golay comple-mentary pair (GCP), PMEPR is less than or equal to 2. However, the binary GCPs are limited in length. This paper proposes a novel construction of a new family of binary complementary pairs, named an odd shift complementary pair (OSCP), having all possible lengths. The PMEPR depends on the function we choose. However, we have calculated the PMEPR of OSCP having a length of 2m-1, where the function is a second-order Boolean function and asymptotically bounded by 4. OSCP is the pair of two complex-valued sequences having their sum of aperiodic auto-correlation function (AACF) zero at every odd time shift. © 2024 IEEE.

Item Type:	Conference Paper
Publication:	IEEE International Symposium on Information Theory - Proceedings
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to the publishers.
Keywords:	Orthogonal frequency division multiplexing; Orthogonal functions, Aperiodic auto-correlation function; Autocorrelation functions; Go-lay complementary pair; Novel construction; Odd shift complementary pair; Orthogonal frequency division multiplexing; Orthogonal frequency-division multiplexing; Peak to mean envelope power ratio; Peak-to-mean envelope power ratio; Systems performance, Boolean functions
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	23 Sep 2024 08:47
Last Modified:	23 Sep 2024 08:47
URI:	http://eprints.iisc.ac.in/id/eprint/86299

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