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Cited by 15Digital Filter Design and ImplementationMathematical Analysis and Transform MethodsAdvanced Adaptive Filtering Techniques

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SDP Approximation of a Fractional Delay and the Design of Dual-Tree Complex Wavelet Transform

Dumitrescu, B.·2008·IEEE Transactions on Signal Processing
DOI 10.1109/tsp.2008.924134
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Abstract

We show that an Hinfinoptimization problem related to fractional delay approximation can be formulated as a semideflnite programming (SDP) problem and thus solved reliably. Particularly, given the finite-impulse-response (FIR) filter H(z), we find the FIR filter G(z) of given degree such that ||G(z) - z-1/2H(z)||infinis minimum. This half-sample delay approximation problem is used in the design of filters generating orthogonal dual-tree complex wavelet transforms. Since the solution does not conform to the orthogonality constraints exactly, we propose their enforcement in a second stage of optimization, in which an analyticity criterion is optimized. The proposed designs compare favorably with previous ones.

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Research works printed but not linked: 21

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Cited by

Sorted by citations

  • $H^{\infty}$-Optimal Fractional Delay Filters

    Nagahara, M., & Yamamoto, Y. (2013) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2265678 · Cited by 15

    “Such filters have wide applications in signal processing, in cluding sampling rate conversion [1], [2], [3], nonuniform sampling [4], [5], wavelet transform [6], [7], digital mode ling of musical instruments [8], [9], to name a few.”
    Background

Metadata

Authors
Dumitrescu, B.
Affiliations
University of Bucharest (RO)
Corresponding author
Dumitrescu, B.
ORCID
Dumitrescu, B.
Venue
IEEE Transactions on Signal Processing
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2008-09
Volume
56
Issue
9
Pages
4255-4262
ISSN
1053-587X (ISSN-L)
DOI
10.1109/tsp.2008.924134
OpenAlex
W2105153344
Cited by
15
References
0
Citations by year
2018: 1 · 2017: 1 · 2014: 1 · 2013: 3
FWCI
5.45
Type
journal article
Language
en
Open access
closed
Licence
ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html (vor)
Locations
IEEE Transactions on Signal Processing (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
  • Physical Sciences › Computer Science › Signal Processing › Advanced Adaptive Filtering Techniques
Keywords
semidefinite programming, H-infinity optimization, dual-tree complex wavelet transform, FIR filters

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