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fast fourier transform and convolution algorithms  (Verlag GmbH)

 
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    Verlag GmbH fast fourier transform and convolution algorithms
    Fast Fourier Transform And Convolution Algorithms, supplied by Verlag GmbH, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/fast+fourier+transform+algorithm/fast+fourier+transform+and+convolution+algorithms/us08402399-61-74-83
    Average 90 stars, based on 1 article reviews
    fast fourier transform and convolution algorithms - by Bioz Stars, 2026-11
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    Article Title: Time domain nearfield acoustical holography without wrap-around error and spectral leakage for forward propagation.
    Article Snippet: Time domain nearfield acoustical holography without wrap-around error and spectral leakage for forward propagation Jean-Michel Attendu and Annie Ross Citation: The Journal of the Acoustical Society of America 141, 1039 (2017); doi: 10.1121/1.4976072 View online: http://dx.doi.org/10.1121/1.4976072 View Table of Contents: http://asa.scitation.org/toc/jas/141/2 Published by the Acoustical Society of America Articles you may be interested in Sound field reconstruction using compressed modal equivalent point source method The Journal of the Acoustical Society of America 141, (2017); 10.1121/1.4973567 Classical and Modern Diffraction Theory The Journal of the Acoustical Society of America 141, (2017); 10.1121/1.4973619 A sparse equivalent source method for near-field acoustic holography The Journal of the Acoustical Society of America 141, (2017); 10.1121/1.4974047 Airy pattern approximation of a phased microphone array response to a rotating point source The Journal of the Acoustical Society of America 141, (2017); 10.1121/1.4976068 Time domain nearfield acoustical holography without wrap-around error and spectral leakage for forward propagation Jean-Michel Attendua) and Annie Ross Mechanical Engineering Department, Polytechnique Montreal, CP 6079 Station Centre-ville, Montr eal, Quebec, H3C 3A7, Canada (Received 18 July 2016; revised 9 January 2017; accepted 12 January 2017; published online 23 February 2017) Nearfield acoustical holography can be used to visualize time domain evolution of non-stationary sound fields.. It requires sampling of the pressure field with a microphone array to calculate the sound field on other parallel surfaces, either toward the source or farther away from it.. This paper focuses on forward propagation of fields sampled with a planar array.

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    Article Title: Method and system for computing fourier series coefficients for mask layouts using FFT
    Article Snippet: Nussbaumer, “Fast Fourier Transform and Convolution Algorithms”, Springer Verlag, Berlin, 1982, an implementation of which is schematically shown in FIG. 5. p1=β(cos θ−sin θ) p2=−β(cos θ+sin θ) p3=β cos θ s1=Re{z}+Im{z} m1=s1p3 m2=p1Im{z} m3=p2Re{z} Re{βe−jθz}=m1−m2 Im{βe−jθz}=m1+m3 FIG. 5 shows a possible implementation of the scaling step which is made of adder stages 51, multiplication stages 52 and a subtraction stage 53.

    Article Title: Singular perturbation analysis of the pore creation transient
    Article Snippet: Electroporation, in which electric pulses create transient pores in the cell membrane, is an important technique for drug and DNA delivery.. Electroporation kinetics is mathematically described by an advectiondiffusion boundary value problem.. This study uses singular perturbation to derive a reduced description of the pore creation transient in the form of a single integrodifferential equation for the transmembrane voltage V t . The number of pores and the distribution of their radii are computed from V t . The analysis contains two nonstandard features: the use of the voltage deviation to peel away the strong exponential dependence of pore creation upon the transmembrane potential, and the autonomous approximation of the pore evolution.

    Article Title: Method and system for computing fourier series coefficients for mask layouts using FFT
    Article Snippet: This scaling factor can be written as: Ψ k , l = β e - j θ β = p x p y sin c ( k N x ) sin c ( l N y ) θ = π ( k N x + l N y ) Thus in practice, the multiplication of a complex number z by Ψk,l can be implemented using three additions and three multiplications as described in H. J. Nussbaumer, “Fast Fourier Transform and Convolution Algorithms”, Springer Verlag, Berlin, 1982, an implementation of which is schematically shown in FIG. 5. p1=β(cos θ−sin θ) p2=−β(cos θ+sin θ) p3=β cos θ s1=Re{z}+Im{z} m1=s1p3 m2=p1Im{z} m3=p2Re{z} Re{βe−jθz}=m1−m2 Im{βe−jθz}=m1+m3 FIG. 5 shows a possible implementation of the scaling step which is made of adder stages 51, multiplication stages 52 and a subtraction stage 53.



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