Deconvolution by Cepstral Transformation

Abstract

This is a tutorial-cum-review paper. The properties of cepstral transformation are discussed. Cepstra of some sample functions are evaluated. In terms of the properties of cepstral transformation, the hope that it could be used to separate convolved signals is analysed. Some auxiliary techniques which restore the violated but useful assumptions are discussed. It is argued that the claims made on behalf of the deconvolution by cepstral transformation are generally exaggerated and if the technique is to contest its competitors successfully, much yet remains to be done. It may be advisable to use cepstral transformation in conjunction with other techniques for deconvolution.

Indexing Terms:

• Deconvolution
• Cepstral Transformation

Additional information

Notes on contributors

P.S. Moharir

Moharir, P S (Dr.): Obtained MSc in Physics from Nagpur University in 1964, M Tech in Electrical Engineering from IIT Bombay in 1966 and PhD in Electrical Engineering from IIT, Kanpur in 1971. He has worked as a lecturer in BITS, Pilani and IISc, Bangalore and as an Assistant Professor in IIT, Bombay. He has also worked as a a Research Associate in the University of. Roorkee where, at present, he is a Reader in the Department of Earth Sciences. He was a member of the Founding Committee, Sequency Union, Association for the Advancement of Sequency Theory, Maryland, USA. He is a Member of the Institution of Electronics and Telecommunication Engineers, New Delhi. He was awarded Jagdish Chandra Bose Memorial Award of 1974 by the IETE.

He has taught courses like statistical theory of communication, principles of digital communication, coding theory, optical signal processing, combinatorial mathematics, radar, communication theory in geophysics, statistical methods, multivariate statistical analysis, integrated geoexploration: a systems approach, systems management, advanced geohydrology and theoretical geophysics. He is interested in areas like signal processing, numerical methods, communication, statistics, etc. He has over 60 publications.