Tài liệu Fourier and Spectral Applications part 3 ppt

... real functions g and 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 asterisk denotes ... r k are the values of the 546 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-...

Ngày tải lên: 26/01/2014, 14:20

... or call 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 13. Fourier and Spectral Applications 13. 0 Introduction Fourier methods have ... direct applications of the FFT are to the convolution or deconvolution of data (§ 13. 1), correlation and autocorrelation (§ 13. 2), optimal filtering (§ 13. 3), power spectrum estima...

Ngày tải lên: 21/01/2014, 18:20

... ( 13. 3.5) will be a minimum if 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- 431 08-5) Copyright ... =  ∞ −∞     U(f) − U(f)    2 df is minimized. ( 13. 3.4) Substitutingequations ( 13. 3 .3) and ( 13. 3.2), the right-hand side of ( 13. 3.4) becomes  ∞ −∞ ...

Ngày tải lên: 26/01/2014, 14:20

... ,  N 2 −1  P(f c )=P(f N/2 )= 1 W ss   D N/2   2 ( 13. 4.10) where W ss stands for “window squared and summed,” W ss ≡ N N−1  j=0 w 2 j ( 13. 4.11) 554 Chapter 13. Fourier and Spectral Applications Sample page from ... data windowing, and we will discuss it below. 552 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF S...

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... occurs if the matrices φ αβ and η αβ are diagonal. In that case, equation ( 13. 6.6) becomes y γ = φ γγ φ γγ + η γγ y  γ ( 13. 6.9) 566 Chapter 13. Fourier and Spectral Applications Sample page from ... spectral width of a resonance, but only slipped up on 568 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMP...

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... 538 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 ... disturb the true convolution; and while the original function wraps around onto the zero region, that region can be discarded. 542 Chapter 13. Fourier and Spectral Applications Sample page from ... forg...

Ngày tải lên: 26/01/2014, 14:20

... 0.28117 234 3661,-0.24984642 432 7, -0.19594627 437 7, 0.12 736 934 033 6, 0.0 930 5 736 4604, -0.07 139 4147166,-0.029457 536 822, 0. 033 212674059, 0.0 036 065 535 67,-0.010 733 1754 83, 0.00 139 535 1747, 0.001992405295,-0.000685856695,-0.000116466855, 0.0000 935 88670,-0.0000 132 642 03} ; static ... c4[5]={0.0,0.4829629 131 44 534 1,0. 836 51 630 3 737 8079, 0.2241 438 680420 134 ,-0.129...

Ngày tải lên: 26/01/2014, 14:20

... 606 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by ... 78, pp. 56– 93. [3] Mallat, S.G. 1989, IEEE Transactions on Pattern Analysis and Machine Intelligence , vol. 11, pp. 674–6 93. [4] Freedman, M.H., and Press, W.H. 1992, preprint. [5] 13. 11 Numerical ......

Ngày tải lên: 26/01/2014, 14:20

... substitute equation ( 13. 5.7) to write the function as a rational function in z, and compare with equation ( 13. 5.2) to read off the c’s and d’s. 562 Chapter 13. Fourier and Spectral Applications Sample ... − 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...

Ngày tải lên: 26/01/2014, 14:20

... 572 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by ... the input x’s is, when 574 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by ... (...

Ngày tải lên: 26/01/2014, 15:20