Fourier and Spectral Applications part 9
Fourier and Spectral Applications part 9
... (13.8.2) 576 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 198 8- 199 2 by Cambridge University ... angular 580 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 198 8...
Fourier and Spectral Applications part 10
... (θ)
M
j=0
h
j
e
ijθ
+
j=endpoints
h
j
α
j
(θ)
(13 .9. 8)
Here θ ≡ ω∆, and the functions W(θ) and α
j
(θ) are defined by
W(θ) ≡
∞
−∞
ds e
iθs
ψ(s)(13 .9. 9)
α
j
(θ) ≡
∞
−∞
ds e
iθs
ϕ
j
(s − j)(13 .9. 10)
The key point is that equations (13 .9. 9) ... to both sides of equation (13 .9. 7),
interchange the sums and integral, and make the changes of variable s =(t−t
j
)/∆in the
58...
Tài liệu Fourier and Spectral Applications part 1 ppt
... OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University Press.Programs Copyright (C) 198 8- 199 2 by Numerical Recipes Software.
Permission is granted for ... trade@cup.cam.ac.uk (outside North America).
Chapter 13. Fourier and Spectral
Applications
13.0 Introduction
Fourier methods have revolutionized fields of science and engineering, fro...
Tài liệu Fourier and Spectral Applications part docx
... 538
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University ... padding
544
Chapter 13. Fourier and Spectral Applications
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Copyright (C) 198 8- 199 2 b...
Tài liệu Fourier and Spectral Applications part 11 docx
... c4[5]={0.0,0.48 296 291 31445341,0.83651630373780 79,
0.2241438680420134,-0.1 294 095 225512604};
static float c12[13]={0.0,0.111540743350, 0. 494 623 890 398 , 0.75113 390 8021,
0.3152503517 09, -0.226264 693 965,-0.1 297 66867567,
0. 097 501605587, ... 0.281172343661,-0.2 498 46424327,
-0. 195 946274377, 0.1273 693 40336, 0. 093 057364604,
-0.071 394 147166,-0.0 294 57536822, 0.0332126740...
Tài liệu Fourier and Spectral Applications part 12 doc
... Pure and Applied Mathematics
, vol. 41, pp. 90 9 99 6.
[2]
Vaidyanathan, P.P. 199 0,
Proceedings of the IEEE
, vol. 78, pp. 56 93 . [3]
Mallat, S.G. 198 9,
IEEE Transactions on Pattern Analysis and ... G. 198 9,
SIAM Review
, vol. 31, pp. 614–627.
Beylkin, G., Coifman, R., and Rokhlin, V. 199 1,
Communications on Pure and Applied Mathe-
matics
, vol. 44, pp. 141–183. [1]
Daubechies,...
Tài liệu Fourier and Spectral Applications part 3 ppt
... of the
546
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University ... h is one member of the discrete Fourier transform pair
Corr(g, h)
j
⇐⇒ G
k
H
k
*(13.2.3)
where G
k
and H
k
are the discrete Fourier transforms of g
j
and h
j
, and the ast...
Tài liệu Fourier and Spectral Applications part 4 pptx
... and only if the integrand
548
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 ... OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University Press.Programs Copyright (C) 198 8- 199 2 by Numerical Recipes Software.
Permission is...
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... 558
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University ... Prentice-Hall).
Nussbaumer, H.J. 198 2,
Fast Fourier Transform and Convolution Algorithms
(New York: Springer-
Verlag).
Elliott, D.F., and Rao, K.R. 198 2,
Fast Transforms: Algorithm...
Tài liệu Fourier and Spectral Applications part 6 doc
... 558
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 198 8- 199 2 by Cambridge University ... −
N
j=1
d
j
e
−2πij(f∆)
(13.5.2)
560
Chapter 13. Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
C...