Zero-forcing equalizability of FIR and IIR multi-channel systems with and without perfect measurements

In this paper, we study the linear zero-forcing equalizability of a communication channel. Necessary and sufficient conditions are given in terms of zeros of the transfer function. Detailed procedures of equalizer design for minimum sensitivity with respect to modeling errors and white noise are also presented. It is found that the worst-case effect of channel mismatch on the performance may be modeled as equivalent losses in SNR.