Comparison of correlation performance of smart ternary phase-amplitude filters with gray-scale and binary input scenes

The ternary phase-amplitude filter (TPAF) is by definition restricted to the modulation values -1, 0, and 1, thus comprising a binary phase-only filter (BPOF) multiplied by a binary- amplitude pattern, i.e., a region of support. The TPAF offers an attractive combination of real-time implementation with available devices and good correlation performance. Smart (optimized distortion-invariant) TPAF formulations have been developed. The TPAF enables filter implementation with magneto-optic devices and these devices also can also be used for image input if gray scale scenes can be binarized while preserving good correlation performance. We provide simulation results addressing the comparative performance of TPAF correlation using gray scale and binary images derived from identical edge-enhanced version of original scenes. Experimental correlations verifying the results for the binary input cases are provided.