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Optical computation using residue arithmetic
Applied Optics
|March 9, 2010
Summary
Optical computing enables parallel processing for residue arithmetic operations like addition and multiplication. This research explores optical methods for residue arithmetic and their application in matrix vector multipliers, highlighting potential advantages.
Area of Science:
- Computer Science
- Optical Computing
- Arithmetic Circuits
Background:
- Traditional arithmetic operations require carry propagation, limiting parallel processing.
- Residue arithmetic offers a carry-free computational approach.
Purpose of the Study:
- To explore optical methods for performing residue arithmetic operations.
- To investigate the potential of optical residue arithmetic in matrix vector multipliers.
Main Methods:
- Described several optical techniques for implementing residue arithmetic.
- Considered the integration of these optical methods into a matrix vector multiplier architecture.
Main Results:
- Demonstrated that residue arithmetic allows for parallel additions, subtractions, multiplications, and polynomial evaluations.
- Presented optical methods capable of executing these residue arithmetic operations.
Conclusions:
- Optical residue arithmetic facilitates fully parallel computations, bypassing carry operations.
- Optics offer significant advantages for high-speed, parallel processing in applications like matrix vector multiplication.
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