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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 53
where h is the window. If the window has a nite energy then the STFT can be
reversed:
x(t)=
1
E
h
Z
Z
F
x
(u, f;h)h(t u)e
i2πtf
dud f (2.82)
where E
h
=
R
|h(t)|
2
dt. Thus we can view the STFT as a tool that decomposes the
signal into waveforms, time-frequency atoms, of the form:
h
t, f
(u)=h(u t)e
i2π fu
(2.83)
This concept is illustrated in Figure 2.15. Each atom is obtained by translation of a
single window h and its modulation with frequency f .
STFT can be used to obtain the distribution of energy in the time-frequency space.
If the window function has a unit energy (i.e., E
h
= 1) then a squared modulus of
STFT, a spectrogram, is ...
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Publisher Resources

ISBN: 9781439812037