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1

Monsefi, Reza. An interactive digital simulation of a 'FSK' telemetry system, utilizing on-line real-time comb-filtering or fast fourier transform methods for reconstruction of binary data. University of Salford, 1987.

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2

Sorensen, Henrik V. Fast Fourier transform database. PWS Pub., 1995.

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3

Sorensen, Henrik V. Fast fourier transform database. PWS Publishing, 1995.

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4

Pollock, D. S. G. A mixed-radix fast Fourier transform and a Base-2 fast Fourier transform. QueenMary and Westfield College, Department of Economics, 1989.

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5

Rao, K. R. Fast Fourier Transform: Algorithms and Applications. Springer Science+Business Media B.V., 2010.

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6

Rao, K. R., D. N. Kim, and J. J. Hwang. Fast Fourier Transform - Algorithms and Applications. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-1-4020-6629-0.

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7

Loan, Charles Van. Computational frameworks for the fast fourier transform. SIAM, 1992.

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8

Brigham, E. Oran. The fast Fourier transform and its applications. Prentice-Hall International, 1988.

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9

The fast Fourier transform and its applications. Prentice Hall, 1988.

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10

Takahashi, Daisuke. Fast Fourier Transform Algorithms for Parallel Computers. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9965-7.

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11

Constas, Athanasia. Fast fourier transform solvers for quadratic spline collation. University of Toronto, Dept. of Computer Science, 1996.

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12

Morgan, Alan Robert. A digital fast Fourier transform spectrometer for radio astronomy. University of Manchester, 1995.

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13

Zhao, Shunde. The computation of detailed geoids using the fast Fourier transform method. Dept.of Geodetic Science and Surveying, Ohio State University, 1989.

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14

An introduction to fast fourier transform methods for partial differential equations, with applications. Research Studies Press, 1986.

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15

McQuillan, Dermott M. Fast Fourier transform analysis of signal-averaged electrocardiograms for identification of patients proneto sustained ventricular tachycardia. The author], 1985.

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16

Burl, Jeffrey. Fast Fourier Transform. Pearson Education, Limited, 2003.

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17

Sorenson, Henrik T. Fast Fourier Transform Database Sftw. PWS Pub. Co., 1999.

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18

Kim, Do Nyeon, Jae Jeong Hwang, and K. R. R. Rao. Fast Fourier Transform - Algorithms and Applications. Springer, 2012.

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19

Zhu, Feihong. Two dimensional recursive fast Fourier transform. 1987.

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20

Fast Fourier Transform and Convolution Algorithms. Springer, 2011.

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21

Fast Fourier Transform and Convolution Algorithms. 2nd ed. Springer, 1990.

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22

United States. National Aeronautics and Space Administration., ed. Feasibility study, software design, layout and simulation of a two-dimensional fast Fourier transform machine for use in optical array interferometry: Final report on the NASA FTT project covering the period June 1, 1989 to September 1, 1994. National Aeronautics and Space Administration, 1994.

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23

Takahashi, Daisuke. Fast Fourier Transform Algorithms for Parallel Computers. Springer, 2019.

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24

Research Institute for Advanced Computer Science (U.S.), ed. Fast fourier transform algorithm design and tradeoffs. Research Institute for Advanced Computer Science, 1989.

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25

Allen, Michael P., and Dominic J. Tildesley. Long-range forces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0006.

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A wide variety of special techniques for handling long-range forces are explained in this chapter. This includes the traditional Ewald sum, and the particle-mesh methods that use a discrete Fourier transform. A number of techniques based on spherical truncation such as the Wolf method, the isotropic periodic sum and the reaction field are also considered. Techniques for larger systems such as the fast-multipole method, the multilevel summation approach, and the direct solution of Maxwell’s equations, are explained. The advantages and disadvantages of the different approaches are reviewed, and
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26

McGill, Kenneth C. Fast fourier transformed acoustic resonances with sonic transform. 1990.

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27

Fast NMR Data Acquisition: Beyond the Fourier Transform. Royal Society of Chemistry, The, 2017.

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28

The Regularized Fast Hartley Transform Optimal Formulation Of Realdata Fast Fourier Transform For Siliconbased Implementation In Resourceconstrained Environments. Springer, 2010.

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29

Beyene, Joseph. Uses of the fast fourier transform (FFT) in exact statistical inference. 2001.

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30

Loan, Charles Van. Computational Frameworks for the Fast Fourier Transform (Frontiers in Applied Mathematics). Society for Industrial Mathematics, 1987.

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31

Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms (Computational Mathematics Series). CRC, 1999.

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32

An Improved Asynchronous Implementation of a Fast Fourier Transform Architecture for Space Applications. Storming Media, 1999.

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33

An Introduction to Fast Fourier Transform Methods for Partial Differential Equations, with Applications. Research Studies Press, 1986.

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34

Bisseling, Rob H. Parallel Scientific Computation. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198788348.001.0001.

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This book explains how to use the bulk synchronous parallel (BSP) model to design and implement parallel algorithms in the areas of scientific computing and big data. Furthermore, it presents a hybrid BSP approach towards new hardware developments such as hierarchical architectures with both shared and distributed memory. The book provides a full treatment of core problems in scientific computing and big data, starting from a high-level problem description, via a sequential solution algorithm to a parallel solution algorithm and an actual parallel program written in the communication library B
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35

Weathermon, Adam C. A coded excitation system for pulsed Doppler ultrasound based on the fractional Fourier transform. 2004.

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36

Wei, Chʻen, and United States. National Aeronautics and Space Administration., eds. Report on the NASA FFT project: Feasibility study, software design, layout and simulation of a two-dimensional fast Fourier transform machine for use in optical array interferometry. National Aeronautics and Space Administration, 1990.

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37

L, Damé, Guyenne T. D, and Solar, Solar System, and Stellar Interferometric Mission for Ultrahigh-Resolution Imaging and Spectroscopy., eds. Solar physics and astrophysics at interferometric resolution: An international workshop to present SIMURIS-Solar, Solar System, and Stellar Interferometric Mission for Ultrahigh-Resolution Imaging and Spectroscopy, Paris, 17-19 February 1992. European Space Agency, 1992.

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38

United States. National Aeronautics and Space Administration., ed. Feasibility study, software design, layout and simulation of a two-dimensional fast Fourier transform machine for use in optical array interferometry: Final report on the NASA FTT project covering the period June 1, 1989 to September 1, 1994. National Aeronautics and Space Administration, 1994.

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39

Allen, Michael P., and Dominic J. Tildesley. How to analyse the results. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0008.

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In this chapter, practical guidance is given on the calculation of thermodynamic, structural, and dynamical quantities from simulation trajectories. Program examples are provided to illustrate the calculation of the radial distribution function and a time correlation function using the direct and fast Fourier transform methods. There is a detailed discussion of the calculation of statistical errors through the statistical inefficiency. The estimation of the error in equilibrium averages, fluctuations and in time correlation functions is discussed. The correction of thermodynamic averages to ne
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40

Boudreau, Joseph F., and Eric S. Swanson. Continuum dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0019.

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The theory and application of a variety of methods to solve partial differential equations are introduced in this chapter. These methods rely on representing continuous quantities with discrete approximations. The resulting finite difference equations are solved using algorithms that stress different traits, such as stability or accuracy. The Crank-Nicolson method is described and extended to multidimensional partial differential equations via the technique of operator splitting. An application to the time-dependent Schrödinger equation, via scattering from a barrier, follows. Methods for solv
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41

Petersen, Wesley, and Peter Arbenz. Introduction to Parallel Computing. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198515760.001.0001.

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In the last few years, courses on parallel computation have been developed and offered in many institutions in the UK, Europe and US as a recognition of the growing significance of this topic in mathematics and computer science. There is a clear need for texts that meet the needs of students and lecturers and this book, based on the author's lecture at ETH Zurich is an ideal practical student guide to scientific computing on parallel computers working up from a hardware instruction level, to shared memory machines and finally to distributed memory machines. Aimed at advanced undergraduate and
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42

Montgomery, Erwin B. Oscillator Basics. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780190259600.003.0016.

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This chapter uses metaphors to help programmers picture the basic concepts of oscillators. At the least, DBS can be considered as oscillatory stimulation of the nervous system and increasingly, it is likely that the nervous system operates on the bases of neuronal and neural oscillators. Thus, a fundamental understanding of oscillators, particularly their features, is important. The defining feature of oscillatory activity is the recurrence or repetition of a phenomenon, such as the repetitive flashing of a light at a railroad crossing. This chapter uses the metaphor of a racecar circling on a
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