Abstract

It is shown that proper selection of constraint phases in minimum variance synthetic discriminant functions can further reduce the output variance due to input noise. It is demonstrated with the help of examples that this reduction in variance can range from being negligible to being significant. The exact amount of reduction depends on the constraint magnitudes, training images, and the noise covariance matrix.

© 1988 Optical Society of America

Minimum-variance synthetic discriminant functions

B. V. K. Vijaya Kumar
J. Opt. Soc. Am. A 3(10) 1579-1584 (1986)

Generalized synthetic discriminant functions

Z. Bahri and B. V. K. Vijaya Kumar
J. Opt. Soc. Am. A 5(4) 562-571 (1988)

Phase selection of synthetic discriminant function filters

Philippe Refregier and Jean-Pierre Huignard
Appl. Opt. 29(32) 4772-4778 (1990)

Fully complex synthetic discriminant functions written onto phase-only modulators

Juan Campos, Andrés Márquez, María J. Yzuel, Jeffrey A. Davis, Don M. Cottrell, and Ignacio Moreno
Appl. Opt. 39(32) 5965-5970 (2000)

Alternate interpretation for minimum variance synthetic discriminant functions

B. V. K. Vijaya Kumar and Abhijit Mahalanobis
Appl. Opt. 25(15) 2484-2485 (1986)