Efficient implementation of arithmetic units based on polarizationencoded optical shadow casting
Abstract
Carryfree addition and borrowfree subtraction on the redundant modified signeddigit number are adopted for lensless polarizationencoded optical shadow casting (POSC). First, a new recoding truth table, which has a symmetrical complemented relationship between the input minterms (entries that produce an output of 1 or 1) and their corresponding output bits, is developed for the redundant signeddigit numbers. Then, the carryfree POSC adder/subtracter is designed by determining the encoding of the redundant input bits for generating the sum/difference output bits and the source lightemittingdiode pattern. Two design methods are presented: direct implementation and truthtable partitioning. It is shown that the number of pixel subcells in the input encoding of the POSC system can be significantly reduced using the new symmetrical recoding algorithm for the modified signeddigit number representation.
 Publication:

Optical Engineering
 Pub Date:
 January 1997
 DOI:
 10.1117/1.601148
 Bibcode:
 1997OptEn..36...94C