Analysis of Adaptive MIMO Transmit Beamforming Under Channel Prediction Errors Based on Incomplete Lipschitz-Hankel Integrals

Abstract

This paper provides new results for a family of incomplete Lipschitz–Hankel integrals (ILHIs) which also lead to the evaluation of certain integrals involving the generalized Marcum Q function. These mathematical results are then applied to analyze the bit error rate (BER) of adaptive modulation over multiple-input–multiple-output (MIMO) fading channels under imperfect channel state information (CSI). A novel exact closedform expression for the average BER of adaptive modulation under MIMO transmit beamforming with maximal ratio combining, assuming prediction errors at the receiver for the adaptation CSI required by the transmitter, is obtained. The benefit of this result with respect to previous analysis is threefold. First, the expression is an exact closed form. Second, it is applicable to any antenna configuration, and third, it allows a design improvement of the cutoff SNR thresholds, which leads to better system performance in terms of average spectral efficiency at no extra cost.

DOI: 10.1109/TVT.2008.2011990

Extracted Key Phrases

5 Figures and Tables

Cite this paper

@article{Paris2009AnalysisOA, title={Analysis of Adaptive MIMO Transmit Beamforming Under Channel Prediction Errors Based on Incomplete Lipschitz-Hankel Integrals}, author={Jos{\'e} F. Paris and Eduardo Martos-Naya and Unai Fern{\'a}ndez-Plazaola and Jes{\'u}s L{\'o}pez-Fern{\'a}ndez}, journal={IEEE Trans. Vehicular Technology}, year={2009}, volume={58}, pages={2815-2824} }