Polynomial GSVD Beamforming for Two-User Frequency-Selective MIMO Channels

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