406
Practical MATLAB
® Applications for Engineers
*****************************************
*****************************************
The int(exp(-2*t)^2*u(t)) from t=0 to inf is =
1/4
ans =
.25000000000000000000000000000000
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*****************************************
The sym Fourier transform
of(exp(-2*t)*u(t)) is=
FT =
1/(2+i*w)
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*****************************************
The sym Laplace transform
of(exp(-2*t)*u(t) is=
LT =
1/(s+2)
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−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
time (in sec)
−2
−1.5
−1
−0.5
0
0.5
1
1.5
2
time (in sec)
−0.5
0
0.5
1
−0.5
0
0.5
1
Amplitude
Amplitude
exp(-2*t)*u(t) versus t
[exp(-2*t)*u(t )] 2 versus t
FIGURE 4.52
Symbolic plots of part 4 of Example 4.9.
CRC_47760_CH004.indd 406
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7/28/2008 12:26:13 PM
7/28/2008 12:26:13 PM