WAVELET PHASE RECONSTRUCTION USING CUMULANTS.

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

6 Scopus citations

Abstract

A simple closed-form expression is derived to relate the output one-dimensional cumulants with the phase of a known-order moving-average (MA) wavelet. Combining the phase estimate of the MA part with the phase estimate of the autoregressive (AR) part, both obtained using cumulant statistics, a phase reconstruction algorithm for ARMA seismogram wavelets is developed. The wavelet is not assumed to be minimum phase, and is allowed to include all-pass factors. Simulations demonstrate that the algorithm works quite well for moderate size data records with relatively low signal-to-noise ratio.

Original languageEnglish (US)
Title of host publicationDigest - International Geoscience and Remote Sensing Symposium (IGARSS)
PublisherIEEE
Pages37-41
Number of pages5
StatePublished - Jan 1 1987

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  • Cite this

    Giannakis, G. B. (1987). WAVELET PHASE RECONSTRUCTION USING CUMULANTS. In Digest - International Geoscience and Remote Sensing Symposium (IGARSS) (pp. 37-41). IEEE.