Codebook design for communication in spread and nonspread space-time block codes-based systems

The problem of space-time codebook design for communication in spread and nonspread multiple-antenna wireless systems is addressed and a new methodology for space-time codebook design is proposed. This optimizes the probability of error of the receiver's detector in the high signal-to-noise-ratio (SNR) regime, thus solving a nonlinear non-smooth optimization problem using an iterative method that exploits the Riemannian geometry imposed by the power constraints on the space-time codewords. Computer simulations demonstrate that, for the low SNR regime, our codebooks are marginally better than those provided by state-of-art known solutions. However, for the medium and high SNR regimes, our method provides codes that outperform other known codes.