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...

Ngày tải lên: 17/10/2013, 22:15

... (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...

Ngày tải lên: 20/10/2013, 17:15

... 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...

Ngày tải lên: 21/01/2014, 18:20

... 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 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright (C) 198 8- 199 2 b...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20

... 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,...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20