PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

664 Practical MATLAB® Applications for Engineers

FIGURE 6.89
Circuit diagrams of P.6.12.

L1 = 1 H 0.2 Ω

5 Ω

Vi(w) 0.5 F 0.5 F

Vo(w)

P.6.19 Design, using the zero–pole–gain command, an analog normalized LPF of order 5
for the following fi lter types:
a. Butterworth
b. Chebyshev (types 1 and 2)
c. Elliptic
d. Bessel

with the following fi lter’s specs:

wc = 0.3 rad/s

Rp = 0.5 dB

Rs = Minimum attenuation of −30 dB

P.6.20 Repeat P.6.19 using the transfer function approach.

P.6.21 Verify the following statement by means of an example plot: an elliptic fi lter of
order 6 is equivalent to a Chebyshev fi lter (type 1 or 2) of order 10 and a Butter-
worth fi lter of order 29.

P.6.22 Design an analog elliptic fi lter of minimum order that satisfi es the following specs:

Pass band: 0–1 rad/s and 7–10 rad/s

Stop band: 3–6 rad/s with maximum gain of 0.1 dB

Obtain the fi lter coeffi cients as well as the gain and phase plots.

P.6.23 Determine the minimum length of an FIR fi lter with the following specs:

fc = 200 Hz (pass-band edge)

fs = 300 Hz (stop-band edge)

Rp = 0.01 dB

Rs = 0.02 dB

P.6.24 Determine and plot the transfer function (gain and phase) as well as the impulse
response of a linear FIR BPF with the following specs:

1. Order 30


2. Pass band: from 0.4 to 0.6


3. Stop band: from 0.2 to 0.3 and from 0.8 to 0.9

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