Nonstationary filter theory and its application in single-trace deconvolution are reviewed. The wavelet estimation methods used in nonstationary deconvolution (NSD) are examined. As an alternative, the homomorphic method gives a good estimation of the propagating wavelet when the noise level is low and a proper low pass filter in the quefrency domain is applied. A reformulation of nonstationary deconvolution using homomorphic wavelet estimation gives promising results.
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