Abstract
In the paper “Error Performance of Transmit Beamforming With Delayed and Limited Feedback” of Ma et al. , they provided the analytical derivation of an accurate approximation for the symbol error rate (SER) of transmit beamforming (TB) systems employing $M$ -ary phase-shift keying ( $M$ -PSK) in Rayleigh fading channels, considering the effect of delayed and limited-rate codebook index feedback. However, the derived formula is valid only for the binary phase-shift-keying (i.e., $M=2$ ) modulation, which means that the formula is not general for the $M$ -PSK modulations with $M\geq 2$ . Therefore, we aim at deriving the correct closed-form formula for the accurate approximation for the SER, which is validated through the numerical results. Furthermore, we also present the corresponding correct coding gain achieved by the TB system.
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