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

Hassan, Diyari, Redif, Soydan, McWhirter, John G. ORCID: 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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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

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