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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
48 Practical Biomedical Signal Analysis Using MATLAB
R
2. Create a vector h:
h(i)=
1fori = 1, (n/2)+1
2fori = 2, 3,...,(n/2)
0fori =(n/2)+2, ...,n
(2.65)
3. Calculate the element-wise product of X and h: Y = X ·h
4. Calculate the inverse FFT of Y.
This algorithm is implemented in MATLAB Signal Processing Toolbox as
hilbert
. The analytic signal can be presented in the form:
x
a
(t)=A(t)cos(φ(t)) (2.66)
where A(t)=|x
a
(t)| is called the instantaneous amplitude, φ(t)=arg(x
a
(t)) and
f (t)=
1
2π
d arg(x
a
(t))
dt
is called the instantaneous frequency
1
.
The concepts of instantaneous amplitude and frequency are useful in case of sim-
ple signals without overlapping frequency ...
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Publisher Resources

ISBN: 9781439812037