Low-Coherence Sequence Design Under PAPR Constraints

TL;DR

This paper introduces LOCEDA, an efficient algorithm for designing low-coherence sequences with PAPR constraints, enhancing performance and flexibility for multi-carrier wireless systems like OFDMA.

Contribution

The paper presents a novel hypersphere collision model and an iterative algorithm to generate sequences satisfying arbitrary PAPR constraints, supporting flexible subcarrier assignments.

Findings

LOCEDA outperforms existing sequence design methods.

It effectively supports arbitrary PAPR constraints.

Simulation confirms its flexibility and application potential.

Abstract

Low-coherence sequences with low peak-to-average power ratio (PAPR) are crucial for multi-carrier wireless communication systems and are used for pilots, spreading sequences, and so on. This letter proposes an efficient low-coherence sequence design algorithm (LOCEDA) that can generate any number of sequences of any length that satisfy user-defined PAPR constraints while supporting flexible subcarrier assignments in orthogonal frequency-division multiple access (OFDMA) systems. We first visualize the low-coherence sequence design problem under PAPR constraints as resolving collisions between hyperspheres. By iteratively adjusting the radii and positions of these hyperspheres, we effectively generate low-coherence sequences that strictly satisfy the imposed PAPR constraints. Simulation results (i) confirm that LOCEDA outperforms existing methods, (ii) demonstrate its flexibility, and (iii) highlight its potential for various applications.