The statistical properties of a filtered random phasor are calculated. This problem arises in remote-sensing techniques such as coherent spectroscopy and non-Gaussian scattering and is relevant more generally to the field of nonlinear signal processing. Results are obtained analytically and by numerical simulation for a variety of phase fluctuation models. The problem is found to be analogous to scattering of light from a random-phase-changing screen. This provides a simple interpretation of the results and suggests new ways for characterizing both phase variable and filter.
© 1998 Optical Society of America
Original Manuscript: July 29, 1997
Revised Manuscript: October 7, 1997
Manuscript Accepted: October 27, 1997
Published: May 1, 1998
E. Jakeman and K. D. Ridley, "Signal processing analog of phase screen scattering," J. Opt. Soc. Am. A 15, 1149-1159 (1998)