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Codebook-based transmit beamforming with receive combining is a simple and efficient strategy for Multiple-Input Multiple-Output (MIMO) wireless systems. However, as a closed-loop technique, codebook-based transmit beamforming suffers from the performance degradation due to feedback delay. In this paper, the authors design quantizers robust to the feedback delay for codebook-based beamforming systems. Aiming at maximizing the average receive Signal-to-Noise Ratio (SNR) or minimizing the average Bit Error Rate (BER), optimal codeword selection rules are derived for the quantizer.
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