Tài liệu Fourier and Spectral Applications part 1 ppt
Tài liệu Fourier and Spectral Applications part 1 ppt
... http://www.nr.com or call 1- 800-872-7423 (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 ... direct applications of the FFT are to the convolution or deconvolution of
data ( 13 .1) , correlation and autocorrelation ( 13 .2), optimal filtering ( 13 .3), power
s...
Tài liệu Fourier and Spectral Applications part 3 ppt
... values of the
546
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
Copyright (C) 19 88 -19 92 by Cambridge University ... real
functions g and 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 tran...
Tài liệu Fourier and Spectral Applications part 4 pptx
... (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 SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
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 quan...
Tài liệu Fourier and Spectral Applications part 5 pptx
... N
N 1
j=0
w
2
j
(13 .4 .11 )
554
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
Copyright (C) 19 88 -19 92 ... Fouriertransformof some
550
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4...
Tài liệu Fourier and Spectral Applications part 7 pptx
... φ
2
d
2
−···−φ
M
d
M
(13 .6 .13 )
To use linear prediction, we first compute the d
j
’s, using equations (13 .6 .10 )
and (13 .6 .12 ). We then calculate equation (13 .6 .13 ) or, more concretely, apply
(13 .6 .11 ) to the ... stability.
Equation (13 .6 .11 ) is a special case of the general linear filter (13 .5 .1) . The condition
that (13 .6 .11 ) be stable as a linear predictor is precis...
Tài liệu Fourier and Spectral Applications part docx
... 538
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
Copyright (C) 19 88 -19 92 by Cambridge University ... array r
k
.
540
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
Copyright (...
Tài liệu Fourier and Spectral Applications part 11 docx
... form,
c
0
= (1+
√
10 +
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 ... = -1. 0;
static float c4[5]={0.0,0.482962 913 14453 41, 0.836 516 3037378079,
0.22 414 3868042 013 4,-0 .12 94095225 512 604};
static float c12 [13 ]...
Tài liệu Fourier and Spectral Applications part 12 doc
... 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 ... representation
(13 .11 .3) into (13 .11 .6) and performing the resulting elementary contour integrals, we obtain
w(z) ≈
1
πi
∞
n=−∞
he
−t
2
n
1 − ( 1)
n
e
−πi(α−z)/h
t...
Tài liệu Fourier and Spectral Applications part 6 doc
... )=
−
b
(1+ a) (1+ b)
+
b
(1+ a) (1+ b)
z
−2
1 −
(1+ a) (1 b)+ (1 a) (1+ b)
(1+ a) (1+ b)
z
1
+
(1 a) (1 b)
(1+ a) (1+ b)
z
−2
(13 .5 .12 )
from which one reads off the filter coefficients for equation (13 .5 .1) ,
c
0
= ... (13 .5 .1) ,
c
0
= −
b
(1 + a) (1 + b)
c
1
=0
c
2
=
b
(1 + a) (1 + b)
d
1
=
(1 + a) (1 − b)+ (1 a) (1 + b)
(1 + a) (1 + b)
d
2
= −
(1 − a) (1...
Tài liệu Fourier and Spectral Applications part 8 docx
... IEEE
, vol. 63, p. 5 61, 19 75).
Burg, J.P. 19 68, reprinted in Childers, 19 78. [1]
Anderson, N. 19 74, reprinted in Childers, 19 78. [2]
Cressie, N. 19 91, in
Spatial Statistics and Digital Image Analysis
(Washington: ... 572
Chapter 13 . Fourier and Spectral Applications
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 21- 4 310 8-5)
Copy...
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