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 language||English (US)|
|Title of host publication||Digest - International Geoscience and Remote Sensing Symposium (IGARSS)|
|Number of pages||5|
|State||Published - Jan 1 1987|