Tài liệu Fourier and Spectral Applications part 7 pptx

... guaranteed to be real, so we need only return the real part as new LP coefficients. d[m-j] = -a[j].r; } 570 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: ... assumes that (13.6.12) has correctly identified the spectral width of a resonance, but only slipped up on 568 Chapter 13. Fourier and Spectral Applications Sample page from NUME...

Ngày tải lên: 26/01/2014, 14:20

... what we mean by noise!) Obviously (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 ... |N| 2 ,sowehave |S(f)| 2 +|N(f)| 2 ≈P c (f)=|C(f)| 2 0≤f<f c (13.3 .7) (More sophisticated methods of estimating the power spectral density will be discussed in §13.4 and §13 .7, bu...

Ngày tải lên: 26/01/2014, 14:20

... FFT Intheprevioussectionwe“informally”estimated thepowerspectral densityofa functionc(t) bytaking themodulus-squaredof the discrete Fouriertransformof some 550 Chapter 13. Fourier and Spectral Applications Sample page from ... ,  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 Cha...

Ngày tải lên: 26/01/2014, 14:20

... http://www.nr.com 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 ... fields of science and engineering, from radio astronomy to medical imaging, from seismology to spectroscopy. In this chapter, we present some of the basic application...

Ngày tải lên: 21/01/2014, 18:20

... responsefunction fornegative times is wrapped around 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 ... 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...

Ngày tải lên: 26/01/2014, 14:20

... 0.281 172 343661,-0.2498464243 27, -0.195946 274 377 , 0.1 273 69340336, 0.0930 573 64604, -0. 071 3941 471 66,-0.0294 575 36822, 0.033212 674 059, 0.0036065535 67, -0.01 073 3 175 483, 0.00139535 174 7, 0.001992405295,-0.000685856695,-0.000116466855, 0.000093588 670 ,-0.000013264203}; static ... 0 .75 1133908021, 0.31525035 170 9,-0.226264693965,-0.12 976 68 675 67, 0.0 975 016055 87, 0.0...

Ngày tải lên: 26/01/2014, 14:20

... 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 a numerical ... pp. 614–6 27. Beylkin, G., Coifman, R., and Rokhlin, V. 1991, Communications on Pure and Applied Mathe- matics , vol. 44, pp. 141–183. [1] Daubechies, I. 1988, Communica...

Ngày tải lên: 26/01/2014, 14:20

... 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 complex ... call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Elliott, D.F., and Rao, K.R. 1982, Fast Transforms: Algorithms, Analyses, Appl...

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 ... [2] Childers, D.G. (ed.) 1 978 , Modern Spectrum Analysis (New York: IEEE Press), paper by P.D. Welch. [3] Champeney, D.C. 1 973 , Fourier Transforms and Their Physical App...

Ngày tải lên: 26/01/2014, 14:20

... IEEE , vol. 63, p. 561, 1 975 ). Burg, J.P. 1968, reprinted in Childers, 1 978 . [1] Anderson, N. 1 974 , reprinted in Childers, 1 978 . [2] Cressie, N. 1991, in Spatial Statistics and Digital Image Analysis (Washington: ... thus a 0     1+ M  k=1 a k z k     2 ≈ M  j=−M φ j z j (13 .7. 7) The approximately equal sign in (13 .7. 7) has a somewhat special interpretation. It means t...

Ngày tải lên: 26/01/2014, 15:20