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Constrained Design of Allpass Transformed DFT Filter-Banks by Quadratic Programming

Authors:
Heinrich W. Löllmann, Guido Dartmann, and Peter Vary
Book Title:
Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
Venue:
Kyoto, Japan
Event Date:
25.-30.3.2012
Organization:
IEEE
Location:
Piscataway, NJ, USA
Date:
Mar. 2012
Pages:
3481–3484
ISBN:
978-1-46730-044-5
URL:
10.1109/ICASSP.2012.6288666
Language:
English

Abstract

A novel numerical design approach for allpass transformed DFT filter-banks

with subsampling is proposed. Such frequency warped filter-banks possess a

non-uniform time-frequency resolution which is of interest, e.g., for speech

and audio processing. The coefficients of the FIR synthesis filters are

determined by a constrained least-squares error (CLSE) design. Thereby, the

stopband energy of the synthesis filters is minimized with the constraint

for perfect reconstruction (PR). This design by quadratic programming

accounts also for polyphase network (PPN) filter-banks where the prototype

filter degree exceeds the number of subbands to facilitate an enhanced

frequency selectivity. In contrast to known designs for allpass transformed

analysis-synthesis filter-banks (AS FBs), perfect signal reconstruction can

be achieved effectively with synthesis filters featuring a pronounced bandpass

characteristic.

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