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 ... H(f) is H(f )= M  k=0 c k e −2πik(f∆) 1 − 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...

Ngày tải lên: 26/01/2014, 14:20

... 0.28117234 366 1,-0.2498 464 24327, -0.1959 462 74377, 0.127 369 3403 36, 0.093057 364 604, -0.071394147 166 ,-0.0294575 368 22, 0.03321 267 4059, 0.00 360 6553 567 ,-0.010733175483, 0.001395351747, 0.001992405295,-0.00 068 58 566 95,-0.0001 164 668 55, 0.00009358 867 0,-0.000013 264 203}; static ... c4[5]={0.0,0.482 962 9131445341,0.8 365 163 037378079, 0.224143 868 0420134,-0.129409522551 2...

Ngày tải lên: 26/01/2014, 14:20

... 60 6 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING ... 31, pp. 61 4 62 7. 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 ... 909–9 96. [2] Vaidyanathan, P.P. 1990, Proceed...

Ngày tải lên: 26/01/2014, 14:20

... the IEEE , vol. 63 , p. 561 , 1975). Burg, J.P. 1 968 , reprinted in Childers, 1978. [1] Anderson, N. 1974, reprinted in Childers, 1978. [2] Cressie, N. 1991, in Spatial Statistics and Digital Image ... nature of the filter and theparticular inputthatis driving it. We are skeptical of these applications; the literature, however, is full of extravagant claims. CITED REFERENCES AND FURT...

Ngày tải lên: 26/01/2014, 15:20

... 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...

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

... 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 ... original data sets were both real. The components of r k are the values of the 5 46 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART...

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 ... numerical processing that are routinely handled with Fourier techniques. One of these is filtering for the removal of noise from a “corrupted” signal. The particular situationwe consider i...

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

... 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 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 pa...

Ngày tải lên: 26/01/2014, 14:20