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Aksoy et al., 2012 - Google Patents

Optimization algorithms for the multiplierless realization of linear transforms

Aksoy et al., 2012

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Document ID
6701539746858304308
Author
Aksoy L
Costa E
Flores P
Monteiro J
Publication year
Publication venue
ACM Transactions on Design Automation of Electronic Systems (TODAES)

External Links

Snippet

This article addresses the problem of finding the fewest numbers of addition and subtraction operations in the multiplication of a constant matrix with an input vector---a fundamental operation in many linear digital signal processing transforms. We first introduce an exact …
Continue reading at dl.acm.org (PDF) (other versions)

Classifications

    • G—PHYSICS
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    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
    • G06F7/52—Multiplying; Dividing
    • G06F7/523—Multiplying only
    • G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
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    • G06F17/10—Complex mathematical operations
    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/141—Discrete Fourier transforms
    • G—PHYSICS
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