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Numerical optical computing in the residue number system with outer-product lookup tables
Optics Letters
|September 16, 2009
Summary
This study introduces an optical outer-product architecture for residue arithmetic, offering efficient computation of integer functions. This novel design reduces spatial complexity and power needs compared to traditional methods.
Area of Science:
- Optoelectronics
- Computer Arithmetic
- Digital Systems
Background:
- Traditional residue lookup tables exhibit quadratic spatial complexity, limiting scalability.
- Efficient implementation of arbitrary integer-valued functions is crucial for advanced computing.
Purpose of the Study:
- To present a novel optical outer-product architecture for residue arithmetic operations.
- To demonstrate reduced spatial complexity and power requirements compared to existing methods.
Main Methods:
- Utilizing an optical outer-product architecture with position-coded lookup tables.
- Implementing arbitrary integer-valued functions of two independent variables.
Main Results:
- The architecture performs residue arithmetic operations in a single gate delay.
- Spatial complexity grows linearly with the modulus size, unlike quadratic growth in traditional designs.
- Power requirements also exhibit linear growth with the modulus size.
Conclusions:
- The proposed optical architecture offers a scalable and efficient solution for residue arithmetic.
- This approach significantly improves upon the spatial complexity and power efficiency of conventional lookup tables.
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