• Published 2015

Designing tight filter bank frames for nonlinear frequency scales

@inproceedings{Holighaus2015DesigningTF,
  title={Designing tight filter bank frames for nonlinear frequency scales},
  author={Nicki Holighaus and Zdenek Prusa},
  year={2015}
}
We propose a method for the Fourier-side design of nonuniform filter banks. Given a frequency scale and a frequency response prototype, we obtain a family of filters that are uniform shape when observed on the given scale. We provide necessary and sufficient conditions for the resulting (analysis) filter bank to form a (tight) frame. Implementation of the filter bank analysis and reconstruction are discussed and complemented with a number of examples. 

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