A single digital linear filter for computations in electrical methods—A unifying approach

Abstract

A major contribution to the interpretation of electrical measurements was made with the application of digital linear filtering introduced by Ghosh (1970, 1971a, b). This rendered the computations easy and fast. In a recent publication, I showed (Das, 1982) that the filters for computing responses for any electrode or coil configurations employed in electrical methods could be derived easily from stored basic spectra of the two filter functions, namely, [Formula: see text] and [Formula: see text]. One has to multiply the stored spectra by simple factors to arrive at the required spectra. I show here that a simple mathematical manipulation transforms a [Formula: see text] domain integral into its corresponding [Formula: see text] domain integral, thereby leading to the use of a single [Formula: see text] filter for a variety of computations in electrical methods.