PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

614 Practical MATLAB® Applications for Engineers

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Solution to part (f)

Coefficients of the numerator of the trans. function

[butter/LPF/wc=1]

0 0 1

Coefficients of the denominator of the trans. function

[butter/LPF/wc=1]

1.0000 1.4142 1.0000

Transfer function:

1

-----------------

s^2 + 1.414 s + 1

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Solution to part (g)

Coefficients of the numerator of the transf. function

[butter/wc=2rad/sec]

4

Coefficients of the denominator of the transf. function

[butter/wc=2rad/sec]

1.0000 2.8284 4.0000

Transfer function:

4

-----------------

s^2 + 2.828 s + 4

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FIGURE 6.38
Plots of H(w) of Example 6.3 with R = L = C = 1.

1.4 0

 20

 40

 60

 80

 100

 120

 140

 160

 180

1.2

0.8

Magnitude

Angle in degrees

0.6

0.4

0.2

0

01 2

frequency in rad/sec

34 012

frequency in rad/sec

Phase of H(w) versus w

[for R
L
C
1]

Magnitude of H(w) versus w

[or R
L
C
1]

34

1