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Practical Biomedical Signal Analysis Using MATLAB
book

Practical Biomedical Signal Analysis Using MATLAB

by Katarzyn Blinowska, Jaroslaw Zygierewicz
September 2011
Intermediate to advanced content levelIntermediate to advanced
324 pages
10h 9m
English
CRC Press
Content preview from Practical Biomedical Signal Analysis Using MATLAB
Single channel signal 43
FIGURE 2.8: Example of AIC function. a) Signal generated with AR model order
5(a
1
= 0.2,a
2
= 0.5,a
3
= 0.3,a
4
= 0.1,a
5
= 0.2), b) AIC for models of order p
estimated for that signal. Note a minimum at p = 5.
p
i=0
a
i
x
ti
= ε
t
(2.54)
Applying Z transform to both sides of the above equation and taking into account its
properties (Sect. 1.4.6) we get:
A( f )X( f )=E( f ) (2.55)
multiplying equation (2.55) by A
1
leads to:
X( f )=A
1
( f )E( f )=H( f )E( f ) (2.56)
where we dened H( f )=A
1
( f ). From the denition of power spectrum we obtain:
S( f )=X( f )X
( f )=H( f )VH
( f ) (2.57)
Expressing H(s) in terms of model coefcients:
H(z)=
1
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Publisher Resources

ISBN: 9781439812037