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The dft, fft, and practical spectral analysis

OpenStax
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The discrete fourier transform
  Dft definition and properties
0.1 Dft
0.2 Idft
0.3 Dft and idft properties
0.4 Periodicity
0.5 Circular shift
0.6 Time reversal
0.7 Complex conjugate
0.8 Circular convolution property
0.9 Multiplication property
0.10 Parseval's theorem
0.11 Symmetry
1   Fast convolution
2   Chirp-z transform
3   Ffts of prime length and rader's conversion
3.1 Rader's conversion
3.2 Fact from number theory
3.3 Another fact from number theory
3.4 Rader's conversion
3.5 Winograd minimum-multiply convolution and dft algorithms
3.6 Winograd fourier transform algorithm (wfta)
4   Efficient fft algorithm and programming tricks
5   Choosing the best fft algorithm
Spectrum analysis
  Spectrum analysis using the discrete fourier transform
1   Classical statistical spectral estimation
2   Short time fourier transform
Fast fourier transform algorithms
  Overview of fast fourier transform (fft) algorithms
0.1 History of the fft
0.2 Summary of fft algorithms
1   Running fft
2   Goertzel's algorithm
3   Multidimensional index maps
4   The prime factor algorithm

Source:  OpenStax, The dft, fft, and practical spectral analysis. OpenStax CNX. Feb 22, 2007 Download for free at http://cnx.org/content/col10281/1.2
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