Least-Squares Design of DFT Filter-Banks Based on Allpass Transformation of Higher Order

Journal article
(Letter)


Publication Details

Author(s): Löllmann H, Vary P
Journal: IEEE Transactions on Signal Processing
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Publication year: 2010
Volume: 58
Journal issue: 4
Pages range: 2393-2398
ISSN: 1053-587X


Abstract

The allpass transformation of higher order is a very general concept to construct a frequency warped analysis-synthesis filter bank (AS FB) with nonuniform time-frequency resolution. In contrast to the more common allpass transformation of first order, the delay elements of the analysis filter bank are substituted by allpass filters of higher order to achieve a more flexible control over its frequency selectivity. Known analytical closed-form designs for the synthesis filter bank can ensure perfect reconstruction (PR), but the synthesis subband filters are not necessarily stable and exhibit no distinctive bandpass characteristic. These problems are addressed by a new least-squares error (LSE) filter bank design. The coefficients of the finite-impulse-response (FIR) synthesis filters are determined simply by a linear set of equations where the signal delay is an adjustable design parameter. This approach can achieve a perfect signal reconstruction with synthesis filters which are inherently stable and feature a bandpass characteristic. The proposed filter bank is of interest for various subband processing systems requiring nonuniform frequency bands.


How to cite

APA:
Löllmann, H., & Vary, P. (2010). Least-Squares Design of DFT Filter-Banks Based on Allpass Transformation of Higher Order. IEEE Transactions on Signal Processing, 58(4), 2393-2398. https://dx.doi.org/10.1109/TSP.2009.2039838

MLA:
Löllmann, Heinrich, and Peter Vary. "Least-Squares Design of DFT Filter-Banks Based on Allpass Transformation of Higher Order." IEEE Transactions on Signal Processing 58.4 (2010): 2393-2398.

BibTeX: 

Last updated on 2018-23-07 at 09:10