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Cited by 6Digital Filter Design and ImplementationMathematical Analysis and Transform MethodsStability and Control of Uncertain Systems

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H∞ Design of Periodically Nonuniform Interpolation and Decimation for Non-Band-Limited Signals

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Nagahara, Masaaki, Ogura, Masaki, Yamamoto, Yutaka·2011·SICE Journal of Control, Measurement, and System Integration
DOI 10.9746/jcmsi.4.341
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Abstract

In this paper, we consider signal interpolation of discrete-time signals which are decimated nonuniformly. A conventional interpolation method is based on the sampling theorem, and the resulting system consists of an ideal filter with complex-valued coefficients. While the conventional method assumes band limitation of signals, we propose a new method by sampled-data H∞ optimization. By this method, we can remove the band-limiting assumption and the optimal filter can be with real-valued coefficients. Moreover, we show that without band-limited assumption, there can be the optimal decimation patterns among ones with the same ratio. By examples, we show the effectiveness of our method.

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  • The signal subspace WL2 is much wider than that of band-limited L2 signals.

    “Note that the signal subspace WL 2 is much wider than that of band-limited L 2 signals [42].”

    From $H^{\infty}$-Optimal Fractional Delay Filters (2013) · cites this paper as [42]

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Research works printed but not linked: 19

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  19. [20] Y. Zimmels and L.G. Fel: Multinomial permutations on a circle, Mathematical Methods in the Applied Sciences, Vol. 29, No. 17, pp. 2079-2088, 2006.

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Metadata

Authors
Nagahara, M., Ogura, M., & Yamamoto, Y.
Affiliations
  • Kyoto University (JP)
  • Texas Tech University (US)
ORCID
Venue
SICE Journal of Control, Measurement, and System Integration
Publisher
Informa UK Limited
Published
2011-09-01
Volume
4
Issue
5
Pages
341-348
ISSN
  • 1882-4889 (ISSN-L)
  • 1884-9970
DOI
10.9746/jcmsi.4.341
OpenAlex
W2964024106
Cited by
6
References
0
Citations by year
2022: 1 · 2014: 2 · 2013: 2
FWCI
2.30
Type
journal article
Language
en
Open access
Locations
SICE Journal of Control Measurement and System Integration (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 › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
Keywords
discrete-time signals, ideal filters

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