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

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. 3481-3484
Date:
Mar. 2012
ISBN:
978-1-46730-044-5
DOI:
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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