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A hybrid method for the design of oversampled uniform DFT filter banks

Yui, K.F.C; Grbic, Nedelko LU ; Nordholm, Sven and Teo, K.L. (2006) In Signal Processing 86(7). p.1355-1364
Abstract
Subband adaptive filters have been proposed to speed up the convergence and to lower the computational complexity of time domain adaptive filters. However, subband processing causes signal degradations due to aliasing effects and amplitude distortions. This problem is unavoidable due to further filtering operations in subbands. In this paper, the problem of aliasing effect and amplitude distortion is studied. The prototype filter design problem is formulated as a multi-criteria optimization problem and all the Pareto optima are sought. Since the problem is highly nonlinear and nonsmooth, a new hybrid optimization method is proposed. Different prototype filters are used and their performances are compared. Moreover, the effect of the number... (More)
Subband adaptive filters have been proposed to speed up the convergence and to lower the computational complexity of time domain adaptive filters. However, subband processing causes signal degradations due to aliasing effects and amplitude distortions. This problem is unavoidable due to further filtering operations in subbands. In this paper, the problem of aliasing effect and amplitude distortion is studied. The prototype filter design problem is formulated as a multi-criteria optimization problem and all the Pareto optima are sought. Since the problem is highly nonlinear and nonsmooth, a new hybrid optimization method is proposed. Different prototype filters are used and their performances are compared. Moreover, the effect of the number of subbands, the oversampling factors and the length of prototype filter are also studied. We find that prototype filters designed via Kaiser or Dolph–Chebyshev window provide the best overall performance. Also, there is a critical oversampling factor beyond which the improvement in performance is not justified. Finally, if the length of the prototype filter increases with the number of subbands, an increase in the subband level will not deteriorate the performance. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Signal Processing
volume
86
issue
7
pages
10 pages
publisher
Elsevier
external identifiers
  • Scopus:33646122222
ISSN
0165-1684
DOI
doi:10.1016/j.sigpro.2005.02.023
language
English
LU publication?
yes
id
ebf75efb-90d5-46ec-87f1-7c8352510fb4
date added to LUP
2016-06-23 14:05:07
date last changed
2017-01-01 08:28:57
@article{ebf75efb-90d5-46ec-87f1-7c8352510fb4,
  abstract     = {Subband adaptive filters have been proposed to speed up the convergence and to lower the computational complexity of time domain adaptive filters. However, subband processing causes signal degradations due to aliasing effects and amplitude distortions. This problem is unavoidable due to further filtering operations in subbands. In this paper, the problem of aliasing effect and amplitude distortion is studied. The prototype filter design problem is formulated as a multi-criteria optimization problem and all the Pareto optima are sought. Since the problem is highly nonlinear and nonsmooth, a new hybrid optimization method is proposed. Different prototype filters are used and their performances are compared. Moreover, the effect of the number of subbands, the oversampling factors and the length of prototype filter are also studied. We find that prototype filters designed via Kaiser or Dolph–Chebyshev window provide the best overall performance. Also, there is a critical oversampling factor beyond which the improvement in performance is not justified. Finally, if the length of the prototype filter increases with the number of subbands, an increase in the subband level will not deteriorate the performance.},
  articleno    = {7},
  author       = {Yui, K.F.C and Grbic, Nedelko and Nordholm, Sven and Teo, K.L.},
  issn         = {0165-1684},
  language     = {eng},
  number       = {7},
  pages        = {1355--1364},
  publisher    = {Elsevier},
  series       = {Signal Processing},
  title        = {A hybrid method for the design of oversampled uniform DFT filter banks},
  url          = {http://dx.doi.org/doi:10.1016/j.sigpro.2005.02.023},
  volume       = {86},
  year         = {2006},
}