Abstract
We study the effective signal to interference-plus-noise ratio (SINR) of the MIMO detector (or decoder) for the MIMO system with decorrelation based receive transformation (MIMO-DRT), in which the decorrelation based transformation is employed on the received signal of the MIMO receiver. By performing eigendecomposition on the inverse of the covariance matrix for interference plus noise, we express the effective SINR of MIMO-DRT in terms of the eigenvalues of the covariance matrix for interference plus noise and derive the SINR gain (relative to the MIMO system without receive transformation) provided by MIMO-DRT. We prove that the SINR gain provided by MIMO-DRT is larger than or equal to one. Furthermore, we show by both the analytical results and the simulation results that the SINR gain provided by MIMO-DRT increases with the interference to noise ratio and converges to one as the number of cochannel users gets large.
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