Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval

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Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. / Rebollo-neira, Laura; Xu, Zhiqiang.

In: Signal processing, Vol. 90, No. 7, 01.07.2010, p. 2308-2313.

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Rebollo-neira, L & Xu, Z 2010, 'Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval' Signal processing, vol. 90, no. 7, pp. 2308-2313. https://doi.org/10.1016/j.sigpro.2010.02.004, https://doi.org/10.1016/j.sigpro.2010.02.004

APA

Rebollo-neira, L., & Xu, Z. (2010). Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. Signal processing, 90(7), 2308-2313. https://doi.org/10.1016/j.sigpro.2010.02.004, https://doi.org/10.1016/j.sigpro.2010.02.004

Vancouver

Rebollo-neira L, Xu Z. Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. Signal processing. 2010 Jul 1;90(7):2308-2313. https://doi.org/10.1016/j.sigpro.2010.02.004, https://doi.org/10.1016/j.sigpro.2010.02.004

Author

Rebollo-neira, Laura ; Xu, Zhiqiang. / Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. In: Signal processing. 2010 ; Vol. 90, No. 7. pp. 2308-2313.

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@article{2e8834c9b09c434cbaa11933000b275c,
title = "Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval",
abstract = "Non-uniform B-spline dictionaries on a compact interval are discussed in the context of sparse signal representation. For each given partition, dictionaries of B-spline functions for the corresponding spline space are built up by dividing the partition into subpartitions and joining together the bases for the concomitant subspaces. The resulting slightly redundant dictionaries are composed of B-spline functions of broader support than those corresponding to the B-spline basis for the identical space. Such dictionaries are meant to assist in the construction of adaptive sparse signal representation through a combination of stepwise optimal greedy techniques.",
keywords = "non-uniform spline spaces, sparse representations, nonlinear approximations, spline dictionaries",
author = "Laura Rebollo-neira and Zhiqiang Xu",
note = "NOTICE: this is the author’s version of a work that was accepted for publication in Signal Processing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Rebollo-Neira, Laura and Xu, Zhiqiang. Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. Signal Processing, 90, 7 (2010). DOI: 10.1016/j.sigpro.2010.02.004.",
year = "2010",
month = "7",
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language = "English",
volume = "90",
pages = "2308--2313",
journal = "Signal processing",
issn = "0165-1684",
publisher = "Elsevier",
number = "7",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval

AU - Rebollo-neira, Laura

AU - Xu, Zhiqiang

N1 - NOTICE: this is the author’s version of a work that was accepted for publication in Signal Processing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Rebollo-Neira, Laura and Xu, Zhiqiang. Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval. Signal Processing, 90, 7 (2010). DOI: 10.1016/j.sigpro.2010.02.004.

PY - 2010/7/1

Y1 - 2010/7/1

N2 - Non-uniform B-spline dictionaries on a compact interval are discussed in the context of sparse signal representation. For each given partition, dictionaries of B-spline functions for the corresponding spline space are built up by dividing the partition into subpartitions and joining together the bases for the concomitant subspaces. The resulting slightly redundant dictionaries are composed of B-spline functions of broader support than those corresponding to the B-spline basis for the identical space. Such dictionaries are meant to assist in the construction of adaptive sparse signal representation through a combination of stepwise optimal greedy techniques.

AB - Non-uniform B-spline dictionaries on a compact interval are discussed in the context of sparse signal representation. For each given partition, dictionaries of B-spline functions for the corresponding spline space are built up by dividing the partition into subpartitions and joining together the bases for the concomitant subspaces. The resulting slightly redundant dictionaries are composed of B-spline functions of broader support than those corresponding to the B-spline basis for the identical space. Such dictionaries are meant to assist in the construction of adaptive sparse signal representation through a combination of stepwise optimal greedy techniques.

KW - non-uniform spline spaces

KW - sparse representations

KW - nonlinear approximations

KW - spline dictionaries

UR - http://www.scopus.com/inward/record.url?scp=77649270302&partnerID=8YFLogxK

U2 - 10.1016/j.sigpro.2010.02.004

DO - 10.1016/j.sigpro.2010.02.004

M3 - Article

VL - 90

SP - 2308

EP - 2313

JO - Signal processing

T2 - Signal processing

JF - Signal processing

SN - 0165-1684

IS - 7

ER -

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