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Hsiao et al., 2000 - Google Patents

Design of low-cost and high-throughput linear arrays for DFT computations: Algorithms, architectures, and implementations

Hsiao et al., 2000

Document ID
754481822263465137
Author
Hsiao S
Shiue W
Publication year
Publication venue
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

External Links

Snippet

Recursive algorithms for discrete Fourier transform (DFT) computation are proposed, where the common entries of the decomposed matrices are factored out in order to reduce the number of multipliers during implementation. The derived algorithms are essentially band …
Continue reading at ieeexplore.ieee.org (other versions)

Classifications

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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
    • G06F17/142—Fast Fourier transforms, e.g. using a Cooley-Tukey type algorithm
    • G—PHYSICS
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    • G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/147—Discrete orthonormal transforms, e.g. discrete cosine transform, discrete sine transform, and variations therefrom, e.g. modified discrete cosine transform, integer transforms approximating the discrete cosine transform
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING; COUNTING
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    • 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
    • G06F7/53—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel
    • G—PHYSICS
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    • G06F17/145—Square transforms, e.g. Hadamard, Walsh, Haar, Hough, Slant transforms
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    • 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
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