Tài liệu Fourier and Spectral Applications part 4 pptx

Tài liệu Fourier and Spectral Applications part 4 pptx

Tài liệu Fourier and Spectral Applications part 4 pptx

... 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 -43 108-5) 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  ∞ −∞     [S(f)+N(f)]Φ(...
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Tài liệu Fourier and Spectral Applications part 5 pptx

Tài liệu Fourier and Spectral Applications part 5 pptx

... ,  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) 5 54 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL ... data windowing, and we will discuss it below. 552 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C:...
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Tài liệu Fourier and Spectral Applications part 7 pptx

Tài liệu Fourier and Spectral Applications part 7 pptx

... 5 64 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 ... the 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 COMPUTING (ISBN 0-521 -43 108-...
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Tài liệu Fourier and Spectral Applications part 1 ppt

Tài liệu Fourier and Spectral Applications part 1 ppt

... or call 1-800-872- 742 3 (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 ... fields of science and engineering, from radio astronomy to medical imaging, from seismology to spectroscopy. In this chapter, we present some of the basic applications of Fourier an...
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Tài liệu Fourier and Spectral Applications part docx

Tài liệu Fourier and Spectral Applications part docx

... and stored at the extreme right end of the array r k . 540 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright ... you forget about zero padding 544 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN...
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Tài liệu Fourier and Spectral Applications part 11 docx

Tài liệu Fourier and Spectral Applications part 11 docx

... 0.027522865530,-0.031582039318, 0.000553 842 201, 0.0 047 77257511,-0.001077301085}; static float c20[21]={0.0,0.026670057901, 0.188176800078, 0.527201188932, 0.68 845 903 945 4, 0.281172 343 661,-0. 249 846 4 243 27, -0.195 946 2 743 77, 0.127369 340 336, ... for the DAUB4 wavelets: #include "nrutil.h" #define C0 0 .48 2962913 144 5 341 #define C1 0.8365163037378079 #define C2 0.2...
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Tài liệu Fourier and Spectral Applications part 12 doc

Tài liệu Fourier and Spectral Applications part 12 doc

... 31, pp. 6 14 627. Beylkin, G., Coifman, R., and Rokhlin, V. 1991, Communications on Pure and Applied Mathe- matics , vol. 44 , pp. 141 –183. [1] Daubechies, I. 1988, Communications on Pure and Applied ... 606 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by .....
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Tài liệu Fourier and Spectral Applications part 3 ppt

Tài liệu Fourier and Spectral Applications part 3 ppt

... of 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 -43 108-5) Copyright (C) 1988-1992 ... 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 aste...
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Tài liệu Fourier and Spectral Applications part 6 doc

Tài liệu Fourier and Spectral Applications part 6 doc

... 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 page from NUMERICAL RECIPES ... [3] Champeney, D.C. 1973, Fourier Transforms and Their Physical Applications (New York: Aca- demic Press). Elliott, D.F., and Rao, K.R. 1982, Fast Transforms: Algorithms, Ana...
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Tài liệu Fourier and Spectral Applications part 8 docx

Tài liệu Fourier and Spectral Applications part 8 docx

... spectrum of the input x’s is, when 5 74 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 ... http://www.nr.com or call 1-800-872- 742 3 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). If we now compare (13.7.1) to equations (13 .4. 4...
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