Design and implementation of the Walsh-Hadamard transform on a ternary optical computer.

Area of Science:

• * Digital Signal Processing
• * Optical Computing
• * Computer Science

Background:

• * Walsh-Hadamard transform is a key method for spectrum analysis in various fields.
• * Ternary optical computers offer advantages like parallel computation and reconfigurable functions.
• * Modified Signed-Digit (MSD) addition is crucial for high-speed arithmetic operations.

Purpose of the Study:

• * To develop a fast parallel computing approach for the N-point Walsh-Hadamard transform.
• * To leverage the capabilities of a ternary optical processor for this computation.
• * To analyze and compare the computational complexity with electronic computers.

Main Methods:

• * Designing a ternary optical processor with reconfigurable MSD addition functions.
• * Configuring multiple MSD adders for parallel computation of the Walsh-Hadamard transform.
• * Performing complexity analysis and experimental validation.

Main Results:

• * A parallel computing approach for the N-point Walsh-Hadamard transform using a ternary optical processor is presented.
• * The ternary optical computer requires significantly fewer clock cycles (N/3) compared to electronic computers.
• * Experimental results for an eight-point Walsh-Hadamard transform confirm the speed advantage.

Conclusions:

• * Ternary optical computers offer a significant advantage for fast, data-intensive computations like the Walsh-Hadamard transform.
• * The proposed parallel computing method highlights the potential of optical computing in signal processing.
• * This approach paves the way for more efficient computational solutions in various scientific domains.