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Nested crossbar connection networks for optically interconnected processor arrays for vector-matrix multiplication.

M R Feldman, C C Guest

    Applied Optics
    |June 22, 2010
    PubMed
    Summary
    This summary is machine-generated.

    New nested crossbar networks offer efficient optical interconnects for vector-matrix multiplication. These networks achieve near-optimal performance on holographic processor arrays, minimizing hardware costs.

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    Area of Science:

    • Computer Science
    • Electrical Engineering
    • Optical Computing

    Background:

    • Interconnection networks are crucial for parallel processing.
    • Optical interconnects offer high bandwidth and low latency.
    • Existing networks face challenges in scalability and efficiency for large-scale systems.

    Purpose of the Study:

    • To introduce a novel family of interconnection networks called nested crossbars.
    • To evaluate their suitability for optical interconnects and parallel computing.
    • To develop algorithms for vector-matrix multiplication using these networks.

    Main Methods:

    • Design and analysis of nested crossbar network topology.
    • Development of algorithms for vector-matrix multiplication on nested crossbar connected processor arrays.
    • Performance evaluation considering time and area growth rates.

    Main Results:

    • Nested crossbar networks exhibit high bisection width and space invariance, ideal for optical interconnects.
    • Algorithms achieve time growth rates between O(1) and O(N(1/2)) for vector-matrix multiplication.
    • Implementation on holographic optically interconnected very large scale integrated processor arrays approaches fundamental lower bounds for area and time.

    Conclusions:

    • Nested crossbar networks provide an efficient and scalable solution for optical interconnects.
    • The developed algorithms optimize vector-matrix multiplication performance.
    • These networks minimize the number of transmitters and detectors, reducing hardware complexity and cost.