Theta modulation is used to implement in parallel the nonlinear class of logical operations. This includes binary logic as well as higher-order logic, such as residue-number arithmetic. Theta modulation, which means encoding of pixel information by grating structures of different orientations, involves a preprocessing operation. For this purpose, a hybrid optical–electronic system is used. Basic principles for logical operations with theta modulation are outlined and experimental examples are given for different types of information encoding, for binary and ternary logical operations, and for addition in the residue-number system.
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Bartelt et al. (1984) studied this question.
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