Tài liệu Fourier and Spectral Applications part 5 pptx

Tài liệu Fourier and Spectral Applications part 5 pptx

Tài liệu Fourier and Spectral Applications part 5 pptx

... windowing, and we will discuss it below. 55 2 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... FFT Intheprevioussectionwe“informally”estimated thepowerspectral densityofa functionc(t) bytaking themodulus-squaredof the discrete Fouriertransformof some 55 0 Chapter 13. Fouri...
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Tài liệu Fourier and Spectral Applications part 4 pptx

Tài liệu Fourier and Spectral Applications part 4 pptx

... a minimum if and only if the integrand 54 8 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... For example, we can sample a long stretch of data c(t) and plot its power spectral density using equations (12.0.14), (12.1.8), and (12.1 .5) . This quantity is proportional to...
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Tài liệu Fourier and Spectral Applications part 7 pptx

Tài liệu Fourier and Spectral Applications part 7 pptx

... real part as new LP coefficients. d[m-j] = -a[j].r; } 57 0 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright ... becomes y γ = φ γγ φ γγ + η γγ y  γ (13.6.9) 56 6 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC...
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Tài liệu Fourier and Spectral Applications part 1 ppt

Tài liệu Fourier and Spectral Applications part 1 ppt

... 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, from radio astronomy to medical ... this chapter, we present some of the basic applications of Fourier and spectral methods that have made these revolutions possible. Say the word Fourier to a num...
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Tài liệu Fourier and Spectral Applications part docx

Tài liệu Fourier and Spectral Applications part docx

... 53 8 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... around and stored at the extreme right end of the array r k . 54 0 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52...
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Tài liệu Fourier and Spectral Applications part 11 docx

Tài liệu Fourier and Spectral Applications part 11 docx

... 0. 751 133908021, 0.3 152 50 351 709,-0.2262646939 65, -0.12976686 756 7, 0.09 750 16 055 87, 0.02 752 28 655 30,-0.03 158 2039318, 0.00 055 3842201, 0.004777 257 511,-0.0010773010 85} ; static float c20[21]={0.0,0.026670 057 901, 0.188176800078, 0 .52 7201188932, 0.688 459 039 454 , ... 0 .52 7201188932, 0.688 459 039 454 , 0.281172343661,-0.249846424327, -0.1 959 46274377, 0.127369340336, 0...
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Tài liệu Fourier and Spectral Applications part 12 doc

Tài liệu Fourier and Spectral Applications part 12 doc

... values of N. For example, |e(t)| < 5 × 10 5 for h =1/ 2and N =7;|e(t)|<2×10 −10 for h =1/ 3and N = 15; and |e(t)| < 7 × 10 −18 for h =1/ 4and N = 25. One may ask, what is the point of such ... 606 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -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

... r k are the values of the 54 6 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -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 aster...
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Tài liệu Fourier and Spectral Applications part 6 doc

Tài liệu Fourier and Spectral Applications part 6 doc

... 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. 56 2 Chapter 13. Fourier and Spectral Applications Sample ... − N  j=1 d j e −2πij(f∆) (13 .5. 2) 56 0 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (I...
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Tài liệu Fourier and Spectral Applications part 8 docx

Tài liệu Fourier and Spectral Applications part 8 docx

... 57 2 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ... of the input x’s is, when 57 4 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5) Copyright (C) 1988-1992 ....
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