The recent paper by Levy and Oldenburg describes the deconvolution problem when a wavelet is phase-shifted upon reflection from a boundary. In order to resolve the ambiguities in the reflectivity function associated with these phase shifts, the authors suggest the use of complex deconvolution. However, as we will show here, there is a question whether this more involved procedure yields any different results from those that would be obtained by deconvolving the real part of the trace and then taking the Hilbert transform for amplitude and phase analysis.

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