Wavelet Parameter and Phase Estimation Using Cumulant Slices

Research output: Contribution to journalArticle

17 Scopus citations


A simple closed-form expression relates one-dimensional output cumulant statistics with the parameters of a known-order moving-average wavelet. Based on this relationship we obtain unique parameter and phase estimates of autoregressive moving-average seismic wavelets. The input reflectivity sequence is assumed to be non-Gaussian, independent, and identically distributed. The wavelet is not assumed to be minimum phase and is allowed to include allpass factors. The seismogram is contaminated by additive-colored Gaussian noise. Simulations demonstrate that our algorithm works well for moderate-size data records with a relatively low signal-to-noise ratio.

Original languageEnglish (US)
Pages (from-to)452-455
Number of pages4
JournalIEEE Transactions on Geoscience and Remote Sensing
Issue number4
StatePublished - Jul 1989
Externally publishedYes

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