Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Information Theory and Reliable Communication
Information Theory and Reliable Communication
On Limits of Wireless Communications in a Fading Environment when UsingMultiple Antennas
Wireless Personal Communications: An International Journal
Space-Time Coding: Theory and Practice
Space-Time Coding: Theory and Practice
Multimode precoding for MIMO wireless systems
IEEE Transactions on Signal Processing - Part I
Designing MIMO communication systems: constellation choice and linear transceiver design
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Signal Processing
Optimal designs for space-time linear precoders and decoders
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Complex-Valued Matrix Differentiation: Techniques and Key Results
IEEE Transactions on Signal Processing
Space-time diversity systems based on linear constellation precoding
IEEE Transactions on Wireless Communications
Joint coding-precoding with low-complexity turbo-decoding
IEEE Transactions on Wireless Communications
A discrete-time model for triply selective MIMO Rayleigh fading channels
IEEE Transactions on Wireless Communications
Capacity-achieving input covariance for single-user multi-antenna channels
IEEE Transactions on Wireless Communications
Novel Sum-of-Sinusoids Simulation Models for Rayleigh and Rician Fading Channels
IEEE Transactions on Wireless Communications
IEEE Transactions on Information Theory
Bit-interleaved coded modulation
IEEE Transactions on Information Theory
Space-time transmit precoding with imperfect feedback
IEEE Transactions on Information Theory
High-rate codes that are linear in space and time
IEEE Transactions on Information Theory
Mutual information and minimum mean-square error in Gaussian channels
IEEE Transactions on Information Theory
Impact of antenna correlation on the capacity of multiantenna channels
IEEE Transactions on Information Theory
Gradient of mutual information in linear vector Gaussian channels
IEEE Transactions on Information Theory
Optimum power allocation for parallel Gaussian channels with arbitrary input distributions
IEEE Transactions on Information Theory
Linear Precoders for Bit-Interleaved Coded Modulation on AWGN Channels: Analysis and Design Criteria
IEEE Transactions on Information Theory
Multidimensional Coded Modulation in Block-Fading Channels
IEEE Transactions on Information Theory
Approaching MIMO-OFDM Capacity with Per-Antenna Power and Rate Feedback
IEEE Journal on Selected Areas in Communications
Optimum Power Allocation for Single-User MIMO and Multi-User MIMO-MAC with Partial CSI
IEEE Journal on Selected Areas in Communications
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In this paper, we consider the transmit linear precoding problem for MIMO systems with discrete-constellation inputs. We assume that the receiver has perfect channel state information (CSI) and the transmitter only has partial CSI, namely, the channel covariance information. We first consider MIMO systems over frequency-flat fading channels. We design the optimal linear precoder based on direct maximization of mutual information over the MIMO channels with discrete-constellation inputs. It turns out that the optimal linear precoder is a non-diagonal non-unitary matrix. Then, we consider MIMO systems over frequency selective fading channels via extending our method to MIMO-OFDM systems. To keep reasonable computational complexity of solving the linear precoding matrix, we propose a sub-optimal approach to restrict the precoding matrix as a block-diagonal matrix. This approach has near-optimal performance when we integrate it with a properly chosen interleaver. Numerical examples show that for MIMO systems over frequency flat fading channels, our proposed optimal linear precoder enjoys 6-9 dB gain compared to the same system without linear precoder. For MIMO-OFDM systems, our reduced-complexity sub-optimal linear precoder captures 3-6 dB gain compared to the same system with no precoding. Moreover, for those MIMO systems employing a linear precoder designed based on Gaussian inputs with gap approximation technique for discrete-constellation inputs, significant loss may occur when the signal-to-noise ratio is larger than 0 dB.