Minimum phase and zero distributions in 2D signals

Michael A Fiddy; Umer Shahid

doi:10.1117/12.505943

23 October 2003 Minimum phase and zero distributions in 2D signals

Michael A Fiddy, Umer Shahid

Proceedings Volume 5202, Optical Information Systems; (2003) https://doi.org/10.1117/12.505943
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

It is well known that for 1D signals, a dispersion relation or Hilbert transform can be written between the magnitude and phase of a bandlimited function, provided it satisfies the so-called minimum phase condition. This condition requires that the complex zeros of the bandlimited function lie in only one half of the complex plane. When this is not the case the Hilbert transform generates the incorrect phase. Extending this concept for two and higher dimensional signals is of great practical interest but has been limited by the fundamental differences that exist between the properties of one and higher dimensional entire functions. We examine these difference and identify some classes of properties that 2D functions should satisfy, in order to possess minimum phase properties.

Citation Download Citation

Michael A Fiddy and Umer Shahid "Minimum phase and zero distributions in 2D signals", Proc. SPIE 5202, Optical Information Systems, (23 October 2003); https://doi.org/10.1117/12.505943

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