Fourier and Spectral Applications part 10

... of equation (13.9.7), interchange the sums and integral, and make the changes of variable s =(t−t j )/∆in the 586 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES ... 584 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cam...

Ngày tải lên: 20/10/2013, 17:15

... series expanded to give P (>z)≈Me −z (13.8.8) 578 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) ... trade@cup.cam.ac.uk (outside North America). power spectral densitty 0.1 1 10 100 100 0 .1 .15 .2 .25 .3 frequency f Figure 13.7.1. Sample output of maximum entropy spectral estimat...

Ngày tải lên: 17/10/2013, 22:15

... 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

... 538 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... 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 RECIP...

Ngày tải lên: 26/01/2014, 14:20

... +  5+2 √ 10) /16 √ 2 c 1 =(5+ √ 10 + 3  5+2 √ 10) /16 √ 2 c 2 = (10 2 √ 10 + 2  5+2 √ 10) /16 √ 2 c 3 = (10 2 √ 10 − 2  5+2 √ 10) /16 √ 2 c 4 =(5+ √ 10 −3  5+2 √ 10) /16 √ 2 c 5 =(1+ √ 10 −  5+2 √ 10) /16 √ 2 (13 .10. 6) 594 Chapter ... America). wavelet amplitude .0001 10 −7 10 −6 10 −5 .001 .01 .1 1 10 0 100 200 300 400 500 600 700 800 900 100 0 0 100 200 30...

Ngày tải lên: 26/01/2014, 14:20

... moderate 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 ... 606 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by...

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 ... 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 0-521-4 3108 -5) Copyrigh...

Ngày tải lên: 26/01/2014, 14:20

... 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 0-521-4 3108 -5) Copyright ... 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 cons...

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 NUMERICAL ... data windowing, and we will discuss it below. 552 Chapter 13. Fourier and Spectral Applications Sample page from NUMERICAL RECIPES IN C: THE...

Ngày tải lên: 26/01/2014, 14:20

... 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...

Ngày tải lên: 26/01/2014, 14:20