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Fractional biorthogonal partners and application in signal interpolation

Vrcelj, Bojan and Vaidyanathan, P. P. (2002) Fractional biorthogonal partners and application in signal interpolation. In: 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353). Vol.4. IEEE , Piscataway, NJ, pp. 9-12. ISBN 0-7803-7448-7. https://resolver.caltech.edu/CaltechAUTHORS:20170522-162142818

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Abstract

The concept of biorthogonal partners has been introduced recently by the authors. The work presented in this paper is an extension of some of these results to the case where the upsampling and downsampling ratios are not integers but rational numbers. Hence the name fractional biorthogonal partners. The conditions for the existence of stable and of FIR fractional biorthogonal partners are derived. This result gives rise to an all-FIR spline interpolation technique with the minimum amount of required oversampling. This technique is illustrated by an interpolation example.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISCAS.2002.1010375DOIArticle
http://ieeexplore.ieee.org/document/1010375/PublisherArticle
Additional Information:© 2002 IEEE. Work supported in part by the ONR grant N00014-99-1-1002, USA.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-99-1-1002
Record Number:CaltechAUTHORS:20170522-162142818
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170522-162142818
Official Citation:B. Vrcelj and P. P. Vaidyanathan, "Fractional biorthogonal partners and application in signal interpolation," 2002 IEEE International Symposium on Circuits and Systems. Proceedings, 2002, pp. IV-9-IV-12 vol.4. doi: 10.1109/ISCAS.2002.1010375
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77639
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:22 May 2017 23:37
Last Modified:03 Oct 2019 18:00

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