An analytic approach to minimum phase signals

Michael P. Lamoureux, Gary F. Margrave

The purpose of this paper is to establish the close connection between minimum phase conditions for signals and outer functions in spaces of analytic functions. The characterization through outer functions is physically motived, more precise mathematically, and opens up results from complex analysis. In particular, we show not all spectra are possible for minimum phase signals, and give alternative formulas for computing minimum phase equivalent signals.