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Related Concept Videos

Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...
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Truth-table look-up optical processing utilizing binary and residue arithmetic.

C C Guest, T K Gaylord

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    Optical holographic processors can perform numerical calculations. Binary-coded residue systems require fewer recorded patterns than direct binary for truth-table look-up processing.

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    Area of Science:

    • Computer Science
    • Optical Engineering
    • Information Technology

    Background:

    • Numerical truth-table look-up processors offer a method for computation.
    • Content-addressable optical holographic memories provide a platform for implementing these processors.

    Purpose of the Study:

    • To present two forms of numerical truth-table look-up processors utilizing optical holographic memories.
    • To discuss the application of these processors in direct binary and binary-coded residue number systems.

    Main Methods:

    • Holographic recording of truth-table combinations.
    • Implementation of look-up processing in different numerical systems.
    • Analysis of input/output bit requirements and pattern storage.

    Main Results:

    • Demonstration of two processor designs for numerical truth-table look-up.
    • Comparison of computational requirements between direct binary and binary-coded residue systems.
    • Quantification of reference patterns needed for each system.

    Conclusions:

    • Optical holographic processors are viable for numerical computations.
    • Binary-coded residue number systems offer significant advantages in terms of storage efficiency for truth-table look-up processing compared to direct binary systems.