On the perturbation of LU, Cholesky, and QR factorizations
SIAM Journal on Matrix Analysis and Applications
Precoding and Signal Shaping for Digital Transmission
Precoding and Signal Shaping for Digital Transmission
Space-Time Block Coding for Wireless Communications
Space-Time Block Coding for Wireless Communications
MIMO Wireless Communications
Robust Tomlinson–Harashima Precoding for the Wireless Broadcast Channel
IEEE Transactions on Signal Processing
Finite-Length MMSE Tomlinson–Harashima Precoding for Frequency Selective Vector Channels
IEEE Transactions on Signal Processing
The finite-length multi-input multi-output MMSE-DFE
IEEE Transactions on Signal Processing
Complex-Valued Matrix Differentiation: Techniques and Key Results
IEEE Transactions on Signal Processing
Precoding in multiantenna and multiuser communications
IEEE Transactions on Wireless Communications
Robust Design of Spatial Tomlinson-Harashima Precoding in the Presence of Errors in the CSI
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
Joint Tx-Rx MMSE Design for MIMO Multicarrier Systems with Tomlinson-Harashima Precoding
IEEE Transactions on Wireless Communications
Multiple-antenna capacity in the low-power regime
IEEE Transactions on Information Theory
Tomlinson-Harashima Precoding for Broadcast Channels with Uncertainty
IEEE Journal on Selected Areas in Communications
Hi-index | 35.68 |
The multiple-input multiple-output Tomlinson-Harashima (MIMO-TH) precoder is a well-known structure that mitigates interstream interference in flat fading MIMO systems. The MIMO-TH filters are designed by assuming perfect channel state information (CSI) at both the transmitter and the receiver. However, in practice, channel estimates are available instead of the true channels. In this work, we assess the MIMO-TH performance degradation in the cases where the channel estimates are used as if they were the true channels. More specifically, we develop second-order and high-SNR approximations to the excess mean-square error (EMSE) induced by channel uncertainties, uncovering the factors that determine the MIMO-TH performance degradation in practice. Numerical experiments are in agreement with our theoretical developments.