Estimation of a Minimum-Phase Operator from a Portion of Its Amplitude Spectrum

Abstract

Suppose one wishes to estimate the phase of a minimum-phase operator over a finite frequency range from the amplitude spectrum over the same finite frequency range. This can be accurately accomplished if the phase can be assumed to be approximately constant outside of this finite frequency range. This paper discusses a workable formulation of a method of phase estimation in which the phase-error in the finite frequency range is expressible as a fraction of the maximum deviation of the phase from constancy outside of the finite frequency range.