Application of homomorphic deconvolution to seismology

Abstract Homomorphic systems (Oppenheim, 1965a and 1965b) are a class of nonlinear systems which satisfy a generalized principle of superposition. Such systems are particularly useful in separating signals which have been combined through convolution. This paper deals with the application of homomorphic deconvolution to the recovery of the seismic wavelet from a time series formed by the convolution of this wavelet with an impulse train. The unique point about this approach is that it does not require the usual assumptions of a minimum-phase wavelet and a random distribution of impulses.