Multidimensional Homomorphic deconvolution systems

The aim of this paper is to stimulate further research in multidimensional (N-D) homomorphic deconvolution systems to deal with multivariable signals. In this paper an attempt is made to present a comprehensive treatment of all the four deconvolution systems, viz. the logarithmic cepstrum (LC), the differential cepstrum (DC), the spectral root cepstrum (SRC) and the generalized cepstrum (GC) as a natural extension of the one-dimensional cases. The properties and computation formulae of these N-D systems are discussed highlighting the main differences and advantages.