Polynomial GSVD beamforming for two-user frequency-selective MIMO channels

Hassan, Diyari, Redif, Soydan, McWhirter, John G. ORCID: https://orcid.org/0000-0003-1810-3318 and Lambotharan, Sangarapillai 2021. Polynomial GSVD beamforming for two-user frequency-selective MIMO channels. IEEE Transactions on Signal Processing 69 , pp. 948-959. 10.1109/TSP.2021.3052040

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Abstract

In this paper, we propose a generalized singular value decomposition (GSVD) for polynomial matrices, or polynomial GSVD (PGSVD). We then consider PGSVD-based beamforming for two-user, frequency-selective, multiple-input multiple-output (MIMO) multicasting. The PGSVD can jointly factorize two frequency-selective MIMO channels, producing a set of virtual channels (VCs), split into: private channels (PCs) and common channels (CCs). An important advantage of the proposed PGSVD-based beamformer, over the application of GSVD independently to each frequency bin of the orthogonal frequency division multiplexing (OFDM) scheme, is that it can facilitate different modulation and/or access schemes to various users. Using computer simulations, we characterize the bit error rate performance of our two-user MIMO multicasting system for different PCs/CCs configurations. Here, we also propose an OFDM-GSVD benchmark system, and show that our PGSVD-based beamformer compares favorably to this benchmark under erroneous and uncertain MIMO channel conditions, in addition to its advantage of facilitating heterogeneous modulation and access for various users.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Engineering
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	1053-587X
Last Modified:	09 Nov 2022 11:21
URI:	https://orca.cardiff.ac.uk/id/eprint/142864

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