Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis

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

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  • The University of Liverpool
  • Columbia University
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OriginalspracheEnglisch
Titel des SammelwerksIEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014
Untertitel2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers Inc.
Seiten117-124
Seitenumfang8
ISBN (elektronisch)978-1-4799-4509-2
ISBN (Print)9781479945108
PublikationsstatusVeröffentlicht - 2014
Extern publiziertJa
Veranstaltung2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, CIES 2014 - Orlando, USA / Vereinigte Staaten
Dauer: 9 Dez. 201412 Dez. 2014

Abstract

A compressive sensing (CS) based approach is developed in conjunction with an adaptive basis reweighting procedure for 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. To this aim, an ensemble of stochastic process realizations is often assumed to be available. Relying on this attribute an adaptive data mining procedure is introduced to modify harmonic basis coefficients, vastly improving on standard CS reconstructions. The procedure is shown to perform well with stationary and non-stationary processes even with up to 75% missing data. Several numerical examples demonstrate the effectiveness of the approach when applied to noisy, gappy signals.

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Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis. / Comerford, Liam A.; Beer, Michael; Kougioumtzoglou, Ioannis A.
IEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014: 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2014. S. 117-124 7011840.

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

Comerford, LA, Beer, M & Kougioumtzoglou, IA 2014, Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis. in IEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014: 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings., 7011840, Institute of Electrical and Electronics Engineers Inc., S. 117-124, 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, CIES 2014, Orlando, USA / Vereinigte Staaten, 9 Dez. 2014. https://doi.org/10.1109/CIES.2014.7011840
Comerford, L. A., Beer, M., & Kougioumtzoglou, I. A. (2014). Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis. In IEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014: 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings (S. 117-124). Artikel 7011840 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CIES.2014.7011840
Comerford LA, Beer M, Kougioumtzoglou IA. Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis. in IEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014: 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2014. S. 117-124. 7011840 doi: 10.1109/CIES.2014.7011840
Comerford, Liam A. ; Beer, Michael ; Kougioumtzoglou, Ioannis A. / Compressive sensing based power spectrum estimation from incomplete records by utilizing an adaptive basis. IEEE SSCI 2014 - 2014 IEEE Symposium Series on Computational Intelligence - CIES 2014: 2014 IEEE Symposium on Computational Intelligence for Engineering Solutions, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2014. S. 117-124
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abstract = "A compressive sensing (CS) based approach is developed in conjunction with an adaptive basis reweighting procedure for 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. To this aim, an ensemble of stochastic process realizations is often assumed to be available. Relying on this attribute an adaptive data mining procedure is introduced to modify harmonic basis coefficients, vastly improving on standard CS reconstructions. The procedure is shown to perform well with stationary and non-stationary processes even with up to 75% missing data. Several numerical examples demonstrate the effectiveness of the approach when applied to noisy, gappy signals.",
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AU - Comerford, Liam A.

AU - Beer, Michael

AU - Kougioumtzoglou, Ioannis A.

PY - 2014

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N2 - A compressive sensing (CS) based approach is developed in conjunction with an adaptive basis reweighting procedure for 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. To this aim, an ensemble of stochastic process realizations is often assumed to be available. Relying on this attribute an adaptive data mining procedure is introduced to modify harmonic basis coefficients, vastly improving on standard CS reconstructions. The procedure is shown to perform well with stationary and non-stationary processes even with up to 75% missing data. Several numerical examples demonstrate the effectiveness of the approach when applied to noisy, gappy signals.

AB - A compressive sensing (CS) based approach is developed in conjunction with an adaptive basis reweighting procedure for 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. To this aim, an ensemble of stochastic process realizations is often assumed to be available. Relying on this attribute an adaptive data mining procedure is introduced to modify harmonic basis coefficients, vastly improving on standard CS reconstructions. The procedure is shown to perform well with stationary and non-stationary processes even with up to 75% missing data. Several numerical examples demonstrate the effectiveness of the approach when applied to noisy, gappy signals.

KW - Compressive sensing

KW - data mining

KW - missing data

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