Optimal trade-off distortion-tolerant constrained-modulation correlation filters

A closed-form filter formulation that builds on the optimal trade-off filter formulation and uses the minimum-Euclidean-distance principle is presented. This new formulation provides filters that are optimal in a mean-square error sense relative to multiple criteria over a training set of images when they are implemented with limited modulation levels typically afforded by spatial light modulators. The relationship of the new formulation to several existing filter concepts is discussed.