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Fast Fourier Transforms [chapter]

2010 Chapman & Hall/CRC Computational Science  
THE FAST FOURIER TRANSFORM (FFT) VS.  ...  0 Sample N -1 N = 8 t t t t FAST FOURIER TRANSFORMS 5.3  ... 
doi:10.1201/b10376-12 fatcat:yhvmzfydpzbpjgi2w54w3b6z3y

Fast Fourier Transforms [chapter]

2008 Power Quality  
THE FAST FOURIER TRANSFORM (FFT) VS.  ...  0 Sample N -1 N = 8 t t t t FAST FOURIER TRANSFORMS 5.3  ... 
doi:10.1201/9781420064827.ch11 fatcat:g4xhtiyywbdgzpgsc3frumd3em

Fast Fourier Transform [chapter]

2005 Digital Signal Processing and Applications with the C6713 and C6416 DSK  
In this experiment, you will probe the Fast Fourier Transform (FFT) algorithm by applying different inputs to it and by changing some of its parameters.  ...  On the real-time implementation, you will transform your time domain display on the oscilloscope into a frequency domain display.  ...  Introduction The purpose of this lab is to lead you through some of the issues involving the implementation of Fast Fourier Transforms on DSP hardware.  ... 
doi:10.1002/0471704075.ch6 fatcat:5suuhuotqzeuzo73k5l7eksoqa

Fast Fourier Transforms [chapter]

Walt Kester
2003 Mixed-signal and DSP Design Techniques  
THE FAST FOURIER TRANSFORM (FFT) VS.  ...  0 Sample N -1 N = 8 t t t t FAST FOURIER TRANSFORMS 5.3  ... 
doi:10.1016/b978-075067611-3/50005-0 fatcat:rqkx7brslrf7vp4vhnpzo2wjme

Fast Fourier Transform [chapter]

Nasir Ahmed, Kamisetty Ramamohan Rao
1975 Orthogonal Transforms for Digital Signal Processing  
of the individual Fourier transforms.  ...  This result shows that multiplying the Fourier transform of one function by the complex conjugate of the Fourier transform of the other gives the Fourier transform of their correlation.  ... 
doi:10.1007/978-3-642-45450-9_4 fatcat:s7fvpp7suzdp5lmxz5sovb3ria

The Fast Fourier Transform [chapter]

2009 Handbook of Real-Time Fast Fourier Transforms  
Table of Contents of History of the FFT The Discrete Fourier Transform The Fast Fourier Transform MP3 Compression via the DFT The Fourier Transform in Mathematics Table of Contents of History  ...  of the FFT The Discrete Fourier Transform The Fast Fourier Transform MP3 Compression via the DFT The Fourier Transform in Mathematics The Basic MP3 Algorithm Input: sampled sound as a vector  ...  Fourier Transform in Pure Mathematics Algebra and Topology The Fourier transform may be viewed as a specific case of representation theory.  ... 
doi:10.1109/9780470544792.ch3 fatcat:fg4urfnz4ngh5ggvbfqq42whtu

Recursive Fast Fourier Transforms

G. Epstein
1968 Proceedings of the December 9-11, 1968, fall joint computer conference, part I on - AFIPS '68 (Fall, part I)  
A. disadvantage of the Fast Fourier Transform is that all samples of the function must be stored in memory before processing can start.  ...  The development of the Fast Fourier Transform in co~plex notation has obscured the savings that can be made through the use of recursive properties of trigometric functions.  ... 
doi:10.1145/1476589.1476612 dblp:conf/afips/Epstein68 fatcat:3uokokn7nnauvkprsyfpfa54ve

Fast Fourier Transform(s) [chapter]

2013 Encyclopedia of Tribology  
THE FAST FOURIER TRANSFORM (FFT) VS.  ...  0 Sample N -1 N = 8 t t t t FAST FOURIER TRANSFORMS 5.3  ... 
doi:10.1007/978-0-387-92897-5_100464 fatcat:v2axv4s3u5gmdm2m455wckq4dm

Fast Partial Fourier Transform [article]

Yong-chan Park, Jun-Gi Jang, U Kang
2020 arXiv   pre-print
Fast Fourier transform (FFT) is a widely used algorithm that computes the discrete Fourier transform in many machine learning applications.  ...  In this paper, we propose a fast Partial Fourier Transform (PFT), a careful modification of the Cooley-Tukey algorithm that enables one to specify an arbitrary consecutive range where the coefficients  ...  RELATED WORK We describe related works on Fast Fourier transform (FFT), as well as its applications. Fast Fourier Transform.  ... 
arXiv:2008.12559v1 fatcat:baqeb7meqbd5xo3wzfkx6jwwey

The Fast Fourier Transform [chapter]

M. W. Wong
2011 Discrete Fourier Analysis  
The term fast Fourier transform refers to any algorithm that computes the DFT in O(N log N ) time.  ...  Fourier transform to compute it in O(N log N ) operations.  ... 
doi:10.1007/978-3-0348-0116-4_7 fatcat:grt5p6w4yfd6zg7u643zjwzrja

Fast Fourier transform revisited

Rimantas Pupeikis
2015 Lietuvos matematikos rinkinys  
Using FFT (fast Fourier transform), it is assumed, that some signal samples in a respective period N are updated by a sensor in real time.  ...  ., {x(n)} = 0 for n < 0 and n L) that has the Fourier transform X(ω) = L−1 n=0 x(n)e −jωn , ∀ω ∈ 0, 2π. ( Here j is the imaginary unit.  ...  is called DFT of {x(n)} and is used for transforming the sequence {x(n)} into a sequence of f.s. {X(k)} of length N .  ... 
doi:10.15388/lmr.a.2015.20 fatcat:sovxoks4rjdvzgbr6km6wpbcxa

REVISED FAST FOURIER TRANSFORM

R. Pupeikis
2014 Radìoelektronika, Ìnformatika, Upravlìnnâ  
Keywords: digital signal processing, discrete Fourier transform, fast Fourier transform. ) (k X new is a new k-th sample of spectrum.  ...  Using Fast Fourier Transform (FFT) procedure it is assumed that some signal samples in the respective period available for processing digitally are updated by a sensor in real time.  ...  NOMENCLATURE DSP is a digital signal processing; DFT is a discrete Fourier transform; FFT fast Fourier transform; )} ( { n x is a discrete-time real valued signal or sequence of real numbers; L is a length  ... 
doi:10.15588/1607-3274-2015-1-9 fatcat:iaroc5edmng5lefurxedff7jyu

Integer fast Fourier transform

S. Oraintara, Y.J. Chen, T.Q. Nguyen
2002 IEEE Transactions on Signal Processing  
In this paper, a concept of integer fast Fourier transform (IntFFT) for approximating the discrete Fourier transform is introduced.  ...  Unlike the fixed-point fast Fourier transform (FxpFFT), the new transform has the properties that it is an integer-to-integer mapping, is power adaptable and is reversible.  ...  For each case, the inverse Fourier transform of the product of the two Fourier transforms is then calculated.  ... 
doi:10.1109/78.984749 fatcat:a77mswjzh5en5odz3524kuomla

Fast Fractional Fourier Transform

E.V. Labunets, V.G. Labunets
1998 Zenodo  
In the mathematical literature a generalization of the Fourier transform known as the fractional Fourier transform F (FRFT), was proposed some years ago.  ...  In 1937, Condon wrote a paper called "Immersion of the Fourier transform in a continuous group of functional transformation" [1] .  ... 
doi:10.5281/zenodo.36661 fatcat:rle6knrxajd53mv5hllbwcq7ti

Fast generalized Fourier transforms

Michael Clausen
1989 Theoretical Computer Science  
A similar upper bound is valid for the linear complexity of the inverse of such a Wedderburn transform.  ...  Then L,(G), the linear complexity of a suitable Wedderburn transform corresponding to G, is smaller than 2 l ICI'.  ...  In these special cases the Wedderburn transforms have been called discrete Fourier and Hadamard-Walsh transforms respectively.  ... 
doi:10.1016/0304-3975(89)90021-2 fatcat:75weijsvg5b5lknw3y2lud5n2e
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