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}
}
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.