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Complex Exponential Weighting Applied to Homomorphic Deconvolution
Author(s) -
Shensa M. J.
Publication year - 1976
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1976.tb03662.x
Subject(s) - weighting , deconvolution , cepstrum , homomorphic encryption , exponential function , blind deconvolution , multiplication (music) , phase (matter) , homomorphic filtering , mathematics , algorithm , exponential growth , computer science , artificial intelligence , mathematical analysis , physics , combinatorics , image (mathematics) , encryption , quantum mechanics , acoustics , image enhancement , operating system
Summary The application of exponential weighting to homomorphic deconvolution has been treated extensively by Schafer. This paper considers complex exponential weighting, i.e. multiplication by α n e iøn . At first glance it appears that the phase factor will have no significant effect (just a phase shift) on the complex cepstrum. However, it is shown that a slight modification of the weighting procedure yields a useful technique for the determination of delay times in the cepstrum.

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