Channel Equalization and Beamforming for Quaternion-Valued Wireless Communication Systems

TL;DR

This paper develops and evaluates quaternion-valued adaptive algorithms for channel equalization and beamforming in wireless communication systems, addressing a key gap in efficient signal processing methods for this technology.

Contribution

It introduces quaternion-valued adaptive algorithms, including QLMS and QCMA, and derives a quaternion-valued Wiener solution for improved channel processing.

Findings

Simulation results demonstrate effective system performance.

Algorithms outperform traditional methods in quaternion-valued signal processing.

Provides a foundation for future quaternion-based wireless communication techniques.

Abstract

Quaternion-valued wireless communication systems have been studied in the past. Although progress has been made in this promising area, a crucial missing link is lack of effective and efficient quaternion-valued signal processing algorithms for channel equalization and beamforming. With most recent developments in quaternion-valued signal processing, in this work, we fill the gap to solve the problem by studying two quaternion-valued adaptive algorithms: one is the reference signal based quaternion-valued least mean square (QLMS) algorithm and the other one is the quaternion-valued constant modulus algorithm (QCMA). The quaternion-valued Wiener solution for possible block-based calculation is also derived. Simulation results are provided to show the working of the system.