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Fast Fourier Transforms

Fast Fourier Transforms

Fast Fourier Transforms

... Chapter 15 Conclusions: Fast Fourier Transforms 1 This book has developed a class of ecient algorithms based on index mapping and polyno- mial algebra. This provides a framework from which the ...

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GridWeaver:  A Fully-Automatic System for Microarray Image Analysis Using Fast Fourier Transforms

GridWeaver: A Fully-Automatic System for Microarray Image Analysis Using Fast Fourier Transforms

... Results: This paper presents GridWeaver, a program that reads in images from a microarray experiment, automatically locates subgrids and spots in the images, and then determines the spot intensities needed in the ...

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Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods: Massiv parallele schnelle Fourier-Transformationen und Teilchen-Gitter-Methoden

Massively Parallel, Fast Fourier Transforms and Particle-Mesh Methods: Massiv parallele schnelle Fourier-Transformationen und Teilchen-Gitter-Methoden

... are fast numerical methods for com- puting the Coulomb interactions between N charged particles in three-dimensional ...that fast Fourier transforms can be ...nonequispaced Fourier ...

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Fast fourier transforms and the Fujitsu VPP300

Fast fourier transforms and the Fujitsu VPP300

... 2.8 The Reduced Transform Algorithms. 2.10 Bluestein 's Algorithm in Multiple Dimensions. 2.11 Data Movement in the Multidimensional FFf. 2.12 Square Transpose Multidimensional[r] ...

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Parallel algorithm based on Fast Fourier transforms

Parallel algorithm based on Fast Fourier transforms

... the fast Fourier transform (FFT) digital signal processing is the most basic computing, this article describes the beginning of the fast Fourier transform definition and the most widely used ...

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Numerical stability of nonequispaced fast Fourier transforms

Numerical stability of nonequispaced fast Fourier transforms

... multivariate fast Fourier transform of nonequispaced data ...to fast Fourier transform (of equispaced data), the NFFT is an approximate ...

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Accelerating Fast Fourier Transforms Using Hadoop and CUDA

Accelerating Fast Fourier Transforms Using Hadoop and CUDA

... From these tests, we can deduce that reading and writing constitutes a large percentage of computation time for FFTs on large files, and though using a GPU is helpful, it [r] ...

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Fast Fourier transforms on energy-efficient application-specific processors

Fast Fourier transforms on energy-efficient application-specific processors

... 5. CONCLUSIONS In this Thesis, several methods for increasing the energy-efficiency of fast Fourier computations on application-specific processor platform based on transport triggered architecture are ...

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Comparisons of the execution times and memory requirements for high-speed discrete fourier transforms and fast fourier transforms, for the measurement of AC power harmonics

Comparisons of the execution times and memory requirements for high-speed discrete fourier transforms and fast fourier transforms, for the measurement of AC power harmonics

... a Fast Fourier Transform (FFT) will be a more computationally effective method for measuring multiple harmonics than a Discrete Fourier Transform (DFT) ...discrete transforms which distribute ...

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High Speed Area Efficient Radix-3 and Radix-4 Fast Fourier Transforms

High Speed Area Efficient Radix-3 and Radix-4 Fast Fourier Transforms

... A fast Fourier transform (FFT) is any fast algorithm for computing the ...(DIT) fast Fourier transform (FFT) very often has advantage over the decimation-in-frequency (DIF) FFT for most ...

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Review on Radix-2 DIT Fast Fourier Transforms using Different Input Sequence

Review on Radix-2 DIT Fast Fourier Transforms using Different Input Sequence

... Byung G. Jo et al. [10], the paper proposes a new continuous-flow mixed-radix (CFMR) fast Fourier transform (FFT) processor that uses the MR (radix-4/2) algorithm and a novel in-place strategy. The existing ...

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Review paper on Radix-2 DIT Fast Fourier Transforms using different Multiplier

Review paper on Radix-2 DIT Fast Fourier Transforms using different Multiplier

... Byung G. Jo et al. [10], the paper proposes a new continuous-flow mixed-radix (CFMR) fast Fourier transform (FFT) processor that uses the MR (radix-4/2) algorithm and a novel in-place strategy. The existing ...

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Fast-responding measurements of power system harmonics using discrete and fast fourier transforms with low spectral leakage

Fast-responding measurements of power system harmonics using discrete and fast fourier transforms with low spectral leakage

... Fig. 8: Correction of the integral to interpolate between the oldest samples so that the integral is over exactly one fundamental period By comparison with the FFT algorithm, the option exists to down-sample the final ...

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Determination of Anti Colon Cancer Drug, Irinotecan by Fast Fourier Transforms Continuous Cyclic Voltammetry

Determination of Anti Colon Cancer Drug, Irinotecan by Fast Fourier Transforms Continuous Cyclic Voltammetry

... The fast Fourier transform continuous cyclic voltammetry (FFTCV) at gold microelectrode in flowing solution system was used for determination of irinotecan in its pharmaceutical ...

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Fast Fourier Transforms over Prime Fields of Large Characteristic and their Implementation on Graphics Processing Units

Fast Fourier Transforms over Prime Fields of Large Characteristic and their Implementation on Graphics Processing Units

... The n-th Fermat number, denoted by F n , is given by F n = 2 2 n + 1. This sequence plays an important role in number theory and, as mentioned in the introduction, in the development of asymptotically fast ...

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High Speed Area Efficient Radix-2 Fast Fourier transforms using Signed and Complex Number

High Speed Area Efficient Radix-2 Fast Fourier transforms using Signed and Complex Number

... A fast Fourier transform (FFT) is any fast algorithm for computing the ...(DIT) fast Fourier transform (FFT) very often has advantage over the decimation-in-frequency (DIF) FFT for most ...

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EEG signal of epiliptic patient by fast Fourier and wavelet transforms

EEG signal of epiliptic patient by fast Fourier and wavelet transforms

... The classification of normal or abnormal of the channel at that time are summarised in Table 3, which conclude that most of the signal showing abnormal pattern between t=5 to t=8... „[r] ...

8

Fourier and Laplace Transforms

Fourier and Laplace Transforms

... Laplace transforms are examples of mathematical operations which can play an important role in the analysis of mathematical models for problems orig- inating from a broad spectrum of ...These transforms are ...

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Fourier transforms and convolution

Fourier transforms and convolution

... • In two-dimensional convolution, we replace each value in a two-dimensional array with a weighted average of the values surrounding it in two. dimensions[r] ...

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Approximate fast graph Fourier transforms via multi-layer sparse approximations

Approximate fast graph Fourier transforms via multi-layer sparse approximations

... true Fourier matrix U and the number of scalar multiplications required to compute the product with its efficient approximation ˆ U = S 1 ...dense Fourier matrix U can be faster than the product with the ...

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