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On the analysis and fast implementation of oversampled modulated filter banks

Weiss, Stephan (2000) On the analysis and fast implementation of oversampled modulated filter banks. In: 5th International Conference on Mathematics in Signal Processing, 2000-12-18 - 2000-12-20.

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Oversampled modulated filter banks (OSFBs) play an important role in reducing the computational cost of numerically intensive problems. The concern of this paper is an efficient implementation of the OSFB itself. The proposed method is based on a polyphase description to remove redundancies in the filter operations. Using OSFBs that are modulated from a prototyep filter, a factorisation can be obtained which depends on the filter coefficients the prototype filter and the modulating transform only. Based on a state-space representation of this polyphase factorisation, signal flow graphs can be obtained by minor modifications, which allow us a very simple and efficient implementation of OSFBs. A comparison to existing methods is drawn.