Optimization of Synthesis Oversampled Complex Filter Banks

@article{Gauthier2009OptimizationOS,
  title={Optimization of Synthesis Oversampled Complex Filter Banks},
  author={J{\'e}r{\^o}me Gauthier and L. Duval and J. Pesquet},
  journal={IEEE Transactions on Signal Processing},
  year={2009},
  volume={57},
  pages={3827-3843}
}
An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first provide an algorithm to determine whether there exists an inverse FIR synthesis system. We also provide a method to ensure the Hermitian symmetry property on the synthesis side, which is serviceable to processing real-valued signals. As an invertible analysis scheme corresponds to a redundant decomposition, there is… Expand
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