Abstract
A symbolic-substitution-based optical numeric processor that uses
recoded and nonrecoded trinary signed-digit (TSD) number
representations is proposed. Also, we propose new joint spatial
encodings for the TSD numbers that reduce the symbolic-substitution
computation rules involved in the processor. Optoelectronic
implementation of the proposed recoded adder is feasible. Also, the
nonrecoded TSD addition can be performed optically in two
steps. Both the proposed recoded and nonrecoded adders are more
compact than a recently reported modified signed-digit counterpart and
use fewer correlators and spatial light modulators.
© 1998 Optical Society of America
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