Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autorschaft

  • Yuanjin Zhang
  • Liam Comerford
  • Michael Beer
  • Ioannis Kougioumtzoglou

Externe Organisationen

  • The University of Liverpool
  • Columbia University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des Sammelwerks 2015 22nd International Conference on Systems, Signals and Image Processing
Untertitelproceedings of IWSSIP 2015 : 10-12 September 2015, London, UK
Herausgeber/-innenShahjahan Miah, Alena Uus, Panos Liatsis
ErscheinungsortPiscataway, NJ
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers Inc.
Seiten162-165
Seitenumfang4
ISBN (elektronisch)9781467383530
ISBN (Print)9781467383523
PublikationsstatusVeröffentlicht - 2015
Extern publiziertJa
Veranstaltung22nd International Conference on Systems, Signals and Image Processing, IWSSIP 2015 - London, Großbritannien / Vereinigtes Königreich
Dauer: 10 Sept. 201512 Sept. 2015

Publikationsreihe

Name International Conference on Systems, Signals, and Image Processing
Herausgeber (Verlag)IEEE
ISSN (Print)2157-8672
ISSN (elektronisch)2157-8702

Abstract

A compressive sensing (CS) based approach is applied in conjunction with an adaptive basis re-weighting procedure for multi-dimensional stochastic process power spectrum estimation. In particular, the problem of sampling gaps in stochastic process records, occurring for reasons such as sensor failures, data corruption, and bandwidth limitations, is addressed. Specifically, due to the fact that many stochastic process records such as wind, sea wave and earthquake excitations can be represented with relative sparsity in the frequency domain, a CS framework can be applied for power spectrum estimation. By relying on signal sparsity, and the assumption that multiple records are available upon which to produce a spectral estimate, it has been shown that a re-weighted CS approach succeeds in estimating power spectra with satisfactory accuracy. Of key importance in this paper is the extension from one-dimensional vector processes to a broader class of problems involving multidimensional stochastic fields. Numerical examples demonstrate the effectiveness of the approach when records are subjected to up to 75% missing data.

ASJC Scopus Sachgebiete

Zitieren

Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data. / Zhang, Yuanjin; Comerford, Liam; Beer, Michael et al.
2015 22nd International Conference on Systems, Signals and Image Processing : proceedings of IWSSIP 2015 : 10-12 September 2015, London, UK. Hrsg. / Shahjahan Miah; Alena Uus; Panos Liatsis. Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc., 2015. S. 162-165 ( International Conference on Systems, Signals, and Image Processing).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Zhang, Y, Comerford, L, Beer, M & Kougioumtzoglou, I 2015, Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data. in S Miah, A Uus & P Liatsis (Hrsg.), 2015 22nd International Conference on Systems, Signals and Image Processing : proceedings of IWSSIP 2015 : 10-12 September 2015, London, UK. International Conference on Systems, Signals, and Image Processing, Institute of Electrical and Electronics Engineers Inc., Piscataway, NJ, S. 162-165, 22nd International Conference on Systems, Signals and Image Processing, IWSSIP 2015, London, Großbritannien / Vereinigtes Königreich, 10 Sept. 2015. https://doi.org/10.1109/IWSSIP.2015.7314202
Zhang, Y., Comerford, L., Beer, M., & Kougioumtzoglou, I. (2015). Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data. In S. Miah, A. Uus, & P. Liatsis (Hrsg.), 2015 22nd International Conference on Systems, Signals and Image Processing : proceedings of IWSSIP 2015 : 10-12 September 2015, London, UK (S. 162-165). ( International Conference on Systems, Signals, and Image Processing). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IWSSIP.2015.7314202
Zhang Y, Comerford L, Beer M, Kougioumtzoglou I. Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data. in Miah S, Uus A, Liatsis P, Hrsg., 2015 22nd International Conference on Systems, Signals and Image Processing : proceedings of IWSSIP 2015 : 10-12 September 2015, London, UK. Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc. 2015. S. 162-165. ( International Conference on Systems, Signals, and Image Processing). doi: 10.1109/IWSSIP.2015.7314202
Zhang, Yuanjin ; Comerford, Liam ; Beer, Michael et al. / Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data. 2015 22nd International Conference on Systems, Signals and Image Processing : proceedings of IWSSIP 2015 : 10-12 September 2015, London, UK. Hrsg. / Shahjahan Miah ; Alena Uus ; Panos Liatsis. Piscataway, NJ : Institute of Electrical and Electronics Engineers Inc., 2015. S. 162-165 ( International Conference on Systems, Signals, and Image Processing).
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abstract = "A compressive sensing (CS) based approach is applied in conjunction with an adaptive basis re-weighting procedure for multi-dimensional stochastic process power spectrum estimation. In particular, the problem of sampling gaps in stochastic process records, occurring for reasons such as sensor failures, data corruption, and bandwidth limitations, is addressed. Specifically, due to the fact that many stochastic process records such as wind, sea wave and earthquake excitations can be represented with relative sparsity in the frequency domain, a CS framework can be applied for power spectrum estimation. By relying on signal sparsity, and the assumption that multiple records are available upon which to produce a spectral estimate, it has been shown that a re-weighted CS approach succeeds in estimating power spectra with satisfactory accuracy. Of key importance in this paper is the extension from one-dimensional vector processes to a broader class of problems involving multidimensional stochastic fields. Numerical examples demonstrate the effectiveness of the approach when records are subjected to up to 75% missing data.",
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TY - GEN

T1 - Compressive sensing for power spectrum estimation of multi-dimensional processes under missing data

AU - Zhang, Yuanjin

AU - Comerford, Liam

AU - Beer, Michael

AU - Kougioumtzoglou, Ioannis

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Y1 - 2015

N2 - A compressive sensing (CS) based approach is applied in conjunction with an adaptive basis re-weighting procedure for multi-dimensional stochastic process power spectrum estimation. In particular, the problem of sampling gaps in stochastic process records, occurring for reasons such as sensor failures, data corruption, and bandwidth limitations, is addressed. Specifically, due to the fact that many stochastic process records such as wind, sea wave and earthquake excitations can be represented with relative sparsity in the frequency domain, a CS framework can be applied for power spectrum estimation. By relying on signal sparsity, and the assumption that multiple records are available upon which to produce a spectral estimate, it has been shown that a re-weighted CS approach succeeds in estimating power spectra with satisfactory accuracy. Of key importance in this paper is the extension from one-dimensional vector processes to a broader class of problems involving multidimensional stochastic fields. Numerical examples demonstrate the effectiveness of the approach when records are subjected to up to 75% missing data.

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KW - Compressive Sensing

KW - Missing Data

KW - Power Spectrum

KW - Stochastic Process

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AN - SCOPUS:84961720991

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T3 - International Conference on Systems, Signals, and Image Processing

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EP - 165

BT - 2015 22nd International Conference on Systems, Signals and Image Processing

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A2 - Uus, Alena

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ER -

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