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The authors consider optimal channel equalization for MIMO (Multi-Input/Multi-Output) time-varying channels in the sense of MMSE (Minimum Mean-Squared-Error), where the observation noise can be non-stationary. They show that all ZF (Zero-Forcing) receivers can be parameterized in an affine form which eliminates completely the ISI (Inter-Symbol-Interference), and optimal channel equalizers can be designed through minimization of the MSE (Mean-Squared-Error) between the detected signals and the transmitted signals, among all ZF receivers. They demonstrate that the optimal channel equalizer is a modified Kalman filter, and show that under the AWGN (Additive White Gaussian Noise) assumption; the proposed optimal channel equalizer minimizes the BER (Bit Error Rate) among all possible ZF receivers.
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