Fourier and Laplace 407
− (^50)
0.1
0.2
0.3
0.4
0.5
0.6
5
− 5 0
0
0.2
0.4
5 − 10
− 100
− 50
50
100
− 5
frequency s
Magnitude of F(w)
Magnitude of F(s)
Magnitude spectrum/Fourier
Magnitude spectrum/Laplace
Phase spectrum/Fourier
Phase spectrum /Laplace
0510
− 5 0510
0
− 10
− 100
− 50
50
100
0
Angle in degrees
Angle in degrees
frequency w
frequency w
frequency s
FIGURE 4.53
Numerical plots of F(w) and F(s) of part 7 of Example 4.9.
FIGURE 4.54
Symbolic plots of F(w) and F(s) of part 7 of Example 4.9.
0.5
0.4
0.3
0.2
− 6 − 4
− 4 −3.5 − 3 −2.5 − 2 −1.5 − 1 −0.5
− 2 0246
0
40
30
20
10
0
Magnitude of F(s)
Magnitude of F(w)
sym Fourier transf of (exp(-2t)u(t))
sym Laplace transf of (exp(-2t)u(t))
frequency s
frequency w