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Least-Squares Design of Subsampled Allpass Transformed DFT Filter-Banks with LTI Property

Authors:
Löllmann, H. W. ,  Dartmann, G. ,  Vary, P.
Book Title:
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
Organization:
IEEE
Pages:
p.p. 3529-3532
Address:
Las Vegas, NV, USA
Date:
Mar. 2008
ISBN:
978-1-42441-483-3
Language:
English

Abstract

A new design approach for an allpass transformed analysis-synthesis filter-bank (AS FB) with subsampling is proposed, which can be used for adaptive subband processing with non-uniform time-frequency resolution. Signal reconstruction is performed by an FIR synthesis filter-bank whose coefficients are determined by two different linear least-squares (LS) error designs. The presented unconstrained LS optimization leads to perfect reconstruction (PR), but an insufficient bandpass characteristic for the synthesis subband filters. This problem is solved by a second, equality constrained least-squares (CLS) error design, which achieves near-perfect reconstruction (NPR). In the process, the linear distortions are minimized with the constraint for a linear, time-invariant (LTI) overall transfer function. The aliasing-free reconstruction error is significantly lower than for known designs of allpass transformed DFT filter-banks with NPR. Moreover, the new filter-bank design allows for a low and adjustable signal delay.

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