TIME-MULTIPLEXED OPTICAL HADAMARD IMAGE TRANSFORMS WITH FERROELECTRIC-LIQUID-CRYSTAL-OVER-SILICON SPATIAL LIGHT MODULATORS

The Hadamard transform is an example of a matrix transform that allows images to be represented in terms of orthogonal basis functions with binary-valued matrix elements. Such basis functions can be displayed o n binary amplitude modulating ferroelectric-liquid-crystal-over-silico n spatial light modulators, permitting novel, real-time, and high-spee d implementation of the transform on incoherently illuminated input sc enes. An example of an optical Hadamard transform performed in real ti me by using a spatial light modulator is described. To show the validi ty of this optical decomposition, we electronically reconstruct the tr ansformation data for comparison with the original input scene.