Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets

Praveen Kumar, E. Foufoula-Georgiou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Time-scale analysis aims at examining the behavior of a stochastic process relative to different observation scales. The need for such an analysis arises often in hydrology where description, modeling and prediction of processes is sought over a large range of spatial and temporal scales. In this paper we present a time-scale analysis framework akin to generalized random processes and based on orthogonal wavelet transforms. In particular, we demonstrate the advantages of using orthogonal wavelets as the kernels in integral processes to obtain optimal averaging and generalized fluctuations (removal of polynomial trends) of stochastic processes over different scales. This paper focuses on one-dimensional processes.

Original languageEnglish (US)
Title of host publicationFinite Elements in Water Resources, Proceedings of the International Conference
PublisherPubl by Computational Mechanics Publ
Pages99-106
Number of pages8
Volume2
StatePublished - 1992
Externally publishedYes
EventProceedings of the 9th International Conference on Computational Methods in Water Resources - Denver, CO, USA
Duration: Jun 1 1992Jun 1 1992

Other

OtherProceedings of the 9th International Conference on Computational Methods in Water Resources
CityDenver, CO, USA
Period6/1/926/1/92

Fingerprint

Random processes
Hydrology
Wavelet transforms
Polynomials

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kumar, P., & Foufoula-Georgiou, E. (1992). Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets. In Finite Elements in Water Resources, Proceedings of the International Conference (Vol. 2, pp. 99-106). Publ by Computational Mechanics Publ.

Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets. / Kumar, Praveen; Foufoula-Georgiou, E.

Finite Elements in Water Resources, Proceedings of the International Conference. Vol. 2 Publ by Computational Mechanics Publ, 1992. p. 99-106.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kumar, P & Foufoula-Georgiou, E 1992, Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets. in Finite Elements in Water Resources, Proceedings of the International Conference. vol. 2, Publ by Computational Mechanics Publ, pp. 99-106, Proceedings of the 9th International Conference on Computational Methods in Water Resources, Denver, CO, USA, 6/1/92.
Kumar P, Foufoula-Georgiou E. Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets. In Finite Elements in Water Resources, Proceedings of the International Conference. Vol. 2. Publ by Computational Mechanics Publ. 1992. p. 99-106
Kumar, Praveen ; Foufoula-Georgiou, E. / Time-scale analysis of non-stationary hydrologic processes via orthogonal wavelets. Finite Elements in Water Resources, Proceedings of the International Conference. Vol. 2 Publ by Computational Mechanics Publ, 1992. pp. 99-106
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