Permutation Polynomial Interleaved Zadoff-Chu Sequences

TL;DR

This paper introduces a new family of CAZAC sequences created by interleaving Zadoff-Chu sequences with quadratic permutation polynomials, enabling the construction of orthogonal sequence sets for improved communication system performance.

Contribution

It proposes a novel method to generate CAZAC sequences using permutation polynomial interleaving, enhancing sequence orthogonality and potential system applications.

Findings

Orthogonal interleaved Zadoff-Chu sequences can be constructed with proper QPP choices.

The new sequences maintain constant amplitude and zero autocorrelation properties.

The approach offers potential improvements for cellular communication reference signals.

Abstract

Constant amplitude zero autocorrelation (CAZAC) sequences have modulus one and ideal periodic autocorrelation function. Such sequences are used in cellular radio communications systems, e.g., for reference signals, synchronization signals and random access preambles. We propose a new family CAZAC sequences, which is constructed by interleaving a Zadoff-Chu sequence by a quadratic permutation polynomial (QPP), or by a permutation polynomial whose inverse is a QPP. It is demonstrated that a set of orthogonal interleaved Zadoff-Chu sequences can be constructed by proper choice of QPPs.