Mixed H∞/H2 deconvolution for FIR channels

This paper considers deconvolution techniques for finite impulse response (FIR) channels. We propose IIR deconvolution estimators which serve to solve the problems of deconvolution for FIR channels with different performance metrics, H_∞, H₂, or mixed H_∞/H₂ norm criteria. First, LMI based formulations for optimal deconvolution problems of FIR channels are given. Then by exploiting the special structure of the state space models possessed by FIR channels, we obtain a closed efficient input output realization of the resulting deconvolution estimators. An example is also provided to demonstrate the effective of our formulations and give insight about the effect of delays on deconvolution performance.