Channel Equalization and Beamforming for Quaternion-Valued Wireless Communication Systems
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.
Cite
@article{arxiv.1506.00231,
title = {Channel Equalization and Beamforming for Quaternion-Valued Wireless Communication Systems},
author = {Wei Liu},
journal= {arXiv preprint arXiv:1506.00231},
year = {2016}
}
Comments
11 pages, 10 figures, accepted by the Journal of The Franklin Institute subject to minor revisions in March 2015