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Considerations in estimating the minimum-phase properties of sampled dataNormal access

Author: S.A. Ellender
Journal name: Geophysical Prospecting
Issue: Vol 34, No 8, December 1986 pp. 1200 - 1212
DOI: 10.1111/j.1365-2478.1986.tb00523.x
Organisations: Wiley
Language: English
Info: Article, PDF ( 622.76Kb )

Analysis of the phase spectra from the signatures, impulse responses and other wavelets observed in seismic data leads to the construction of equivalent minimum-phase functions. The accuracy of such computations using digitally sampled data is questioned with special reference to Texas Instruments DFS IV and DFS V recording filters. Results vary with the lengths and sample rates of the time functions, and further errors may be introduced when implementing the Hilbert transform. Such problems are related to poor resolution in the low amplitude areas of the spectrum. Techniques for correction are described. With appropriate shaping a reasonably accurate phase spectrum may be computed for the minimum-phase function. The generation of minimum-phase wavelets within the processing sequence is briefly discussed.

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