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Optimization of Flexible Filter Banks Based on Fast Convolution

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Original languageEnglish
Pages (from-to)101-111
JournalJournal of Signal Processing Systems
Issue number1
Publication statusPublished - Aug 2016
Publication typeA1 Journal article-refereed


Multirate filter banks can be implemented efficiently using fast-convolution (FC) processing. The main advantage of the FC filter banks (FC-FB) compared with the conventional polyphase implementations is their increased flexibility, that is, the number of channels, their bandwidths, and the center frequencies can be independently selected. In this paper, an approach to optimize the FC-FBs is proposed. First, a subband representation of the FC-FB is derived. Then, the optimization problems are formulated with the aid of the subband model. Finally, these problems are conveniently solved with the aid of a general nonlinear optimization algorithm. Several examples are included to demonstrate the proposed overall design scheme as well as to illustrate the efficiency and the flexibility of the resulting FC-FB.


  • Digital filters, Filter banks, Multirate signal processing, Optimization, Sampling rate conversion

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