Performance Analysis and High-SNR Power Allocation for MIMO ZF Receivers with a Precoder in Transmit-Correlated Rayleigh Channels


In this letter, the multiple-input multiple-output (MIMO) system with a precoder is considered within the transmit-correlated Rayleigh channels. We have a tendency to particularly target the MIMO system employing zero forcing receivers. Based on random matrix theory, we first derive the precise chance density operate (PDF) of the signal-to-interference-and-noise ratio (SINR). Using the derived SINR PDF and a close approximation of the Gaussian Q-function, we derive a good closed-type approximation of the symbol error rate (SER). In the high signal-to-noise ratio (SNR) regime, we have a tendency to also propose a high-SNR power allocation (HPA) by minimizing the worldwide SER approximation underneath the whole power constraint. Our SER analysis suggests that the SER approximation will be used to estimate the error probability. At high SNRs, the computationally efficient HPA converging to the optimal PA achieves noticeable performance gain over the equal PA, notably in the high transmit correlation scenario. Furthermore, the performance gain of the proposed HPA increases with the variety order.

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