Minimizing a Euclidean distance in the complex plane optimizes a wide class of correlation metrics for filters implemented on realistic devices. The algorithm searches over no more than two real scalars (gain and phase). It unifies a variety of previous solutions for special cases (e.g., a maximum signal-to-noise ratio with colored noise and a real filter and a maximum correlation intensity with no noise and a coupled filter). It extends optimal partial information filter theory to arbitrary spatial light modulators (fully complex, coupled, discrete, finite contrast ratio, and so forth), additive input noise (white or colored), spatially nonuniform filter modulators, and additive correlation detection noise (including signal-dependent noise). An appendix summarizes the algorithm as it is implemented in available computer code.
© 1993 Optical Society of America
Original Manuscript: April 16, 1992
Published: September 10, 1993
Richard D. Juday, "Optimal realizable filters and the minimum Euclidean distance principle," Appl. Opt. 32, 5100-5111 (1993)