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# H2 optimal inverse of periodic FIR digital filters

@article{Wang2000H2OI, title={H2 optimal inverse of periodic FIR digital filters}, author={Song Wang and Lihua Xie and Cishen Zhang}, journal={IEEE Trans. Signal Processing}, year={2000}, volume={48}, pages={2696-2700} }

- Published 2000 in IEEE Trans. Signal Processing
DOI:10.1109/78.863088

The objective of this correspondence is to design a fixed-order optimal inverse filter of a given periodic FIR digital filter in the presence of measurement noise. The problem is solved by using a linear matrix inequality (LMI) approach to an equivalent time-invariant optimization problem constructed by applying the lifting technique to the original periodic problem. An example is given to demonstrate the effectiveness of the proposed design approach.