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Quasi-light Storage for Optical Data Packets

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Optoelectronic Recoded and Nonrecoded Trinary Signed-Digit Adder that uses Optical Correlation.

A K Cherri, M K Habib, M S Alam

|February 15, 2008

Summary

This study introduces a novel optical numeric processor using trinary signed-digit (TSD) representations. The proposed system offers a more compact and efficient design for optical computing tasks.

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Area of Science:

Optoelectronics
Computer Science
Digital Arithmetic

Background:

Optical computing offers potential advantages in speed and parallelism.
Trinary Signed-Digit (TSD) number representation is explored for its efficiency in arithmetic operations.
Existing optical processors face challenges in terms of size and complexity.

Purpose of the Study:

To propose a symbolic-substitution-based optical numeric processor utilizing recoded and nonrecoded TSD number representations.
To introduce novel spatial encodings for TSD numbers to simplify computation rules.
To evaluate the feasibility and efficiency of the proposed optical adder designs.

Main Methods:

Development of a symbolic-substitution-based processor architecture.
Design of joint spatial encodings for TSD numbers.
Analysis of optoelectronic implementation feasibility for recoded TSD adders.
Formulation of a two-step optical addition process for nonrecoded TSD numbers.

Main Results:

Proposed recoded and nonrecoded TSD adders are more compact than modified signed-digit counterparts.
The new spatial encodings reduce the complexity of symbolic-substitution rules.
Optoelectronic implementation of the recoded adder is feasible.
Nonrecoded TSD addition is achievable optically in two steps.

Conclusions:

The proposed TSD-based optical numeric processor offers a more compact and efficient solution.
The novel spatial encodings simplify the optical computation process.
The developed adders present a viable alternative for future optical computing systems.