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Improved Design of Oversampled Allpass Transformed DFT Filter-Banks with Near-Perfect Reconstruction

Authors:
Heinrich W. Löllmann and Peter Vary
Book Title:
Proceedings of European Signal Processing Conference (EUSIPCO)
Venue:
Poznan, Poland
Publisher:
EURASIP
Date:
Sept. 2007
Pages:
50–54
Language:
English

Abstract

In this paper, the design of oversampled allpass transformed analysis-synthesis filter-banks is treated, which can be employed for non-uniform subband processing. Near-perfect reconstruction can be achieved by a synthesis filter-bank design which uses phase equalizers to compensate the phase modifications due to the allpass transformation of the analysis filter-bank. It is shown that an FIR phase equalizer, which is obtained by a least-squares approximation of the desired non-causal IIR phase equalizer, leads to almost perfect signal reconstruction and causes only a comparatively low signal delay. The devised synthesis filter-bank design can be described by a closed-form expression and allows to control the trade-off between reconstruction errors on the one hand and signal delay and computational complexity on the other hand.

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