Optimal approximate inverse of linear periodic filters

@article{Wu2004OptimalAI,
  title={Optimal approximate inverse of linear periodic filters},
  author={Jwo-Yuh Wu and Ching-An Lin},
  journal={IEEE Transactions on Signal Processing},
  year={2004},
  volume={52},
  pages={2371-2382}
}
We propose a method for constructing optimal causal approximate inverse for discrete-time single-input single-output (SISO) causal periodic filters in the presence of measurement noise. The analysis is based on block signals and multi-input multi-output (MIMO) time-invariant models for periodic filters. The objective function to be minimized is the asymptotic block mean square error. The optimization problem is formulated in terms of transfer matrices as an optimal model-matching problem with… CONTINUE READING
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