Phase reconstruction: Pitfalls and methods in homomorphic deconvolution

Abstract

Success in deconvolution of signals by homomorphic techniques depends on accurate reconstruction of the continuous phase spectrum. The usual algorithms for this process—integration of the phase derivative, adaptive integration, and iterative phase ramp removal—all have subtle but serious flaws of which the user must be aware. Recent processing of high signal‐to‐noise ratio, broadband geoacoustic data uncovered these problems and led to the development of an alternative procedure incorporating an error monitor. This paper summarizes the evaluation of phase reconstruction processes and illustrates their pitfalls when applied to measurement signals. Also, the error monitoring procedure is described along with applications to ocean geoacoustic measurements.