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. This work was supported in part by grants from the National Science Foundation. 1 Introduction Zero-forcing equalization is a technique often used in high SNR communication receivers for the removal of inter-symbol interferences. Zero-forcing equalizers are essentially channel inverses used to recover the unknown input signal of a linear system from its measurable output signal. Since the goal of the equalizer is to recover the input signal from the output measurements. zero-forcing requires that the input signal be recovered EXACTLY with a finite delay i..