New Quadriphase Sequences families with Larger Linear Span and Size

TL;DR

This paper introduces new families of quadriphase sequences with larger linear span and size, providing explicit cross-correlation calculations for sequences with periods related to powers of two, enhancing sequence design for communication systems.

Contribution

The paper proposes two novel families of quadriphase sequences with larger linear span and size, including explicit cross-correlation analysis for sequences with specific periods.

Findings

Sequences with period 2^n-1 and 2(2^n-1) are constructed.

Explicit cross-correlation functions are derived for the new sequences.

Sequences exhibit larger linear span and size compared to existing families.

Abstract

In this paper, new families of quadriphase sequences with larger linear span and size have been proposed and studied. In particular, a new family of quadriphase sequences of period $2^n-1$ for a positive integer $n=em$ with an even positive factor $m$ is presented, the cross-correlation function among these sequences has been explicitly calculated. Another new family of quadriphase sequences of period $2(2^n-1)$ for a positive integer $n=em$ with an even positive factor $m$ is also presented, a detailed analysis of the cross-correlation function of proposed sequences has also been presented.