PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

662 Practical MATLAB® Applications for Engineers

iii. Regions of attenuation

iv. Regions of distortion

P.6.9 Design, at the circuit level, a Chebyshev type-1 and -2 BPF with wp = 2000 Hz con-
nected to a load of R = 600 Ω. The schematic diagram is shown in Figure 6.87 and
verify that its transfer function is given by

Hs LC

s

s

CR LC

()



1

2 1

P.6.10 Obtain expressions of the 10th-order polynomials of the analog, Butterworth and
Chebyshev (types 1 and 2) LPFs with a cutoff frequency at 4 kHz.

P.6.11 Analyze the circuit diagram shown in Figure 6.88 and

a. Obtain the system transfer function.

b. Obtain plots of magnitude and phase of its transfer function for L = 1, and

C = 1/2.

FIGURE 6.86
Circuit diagrams of P.6.8 (where s = jw).

R 1

R 2

C 1

Vi(w)

Vi(w)

Vo(w)

Vo(w)

Vi(w) Vo(w)

Vi(w) Vo(w)

Vo(w)/Vi(w) = [1 + sa]/[1 + sb]

where a = R 2 C 1

b = (R1 + R2)C 1

R 1

R 2 Vo(w)/Vi(w) = k[1 + sa]/[1 + sb]

where a = R 1 C1, b = [R 1 R2/(R1 + R2]

K = R2/(R1 + R2)

C 1

R 1

R 2

C 2

R 1

R 2

Vo(w)/Vi(w) = (1 + sa)(1 + sb)/

[1 + (a + b + c)s + (a b)s^2]

where a = R 1 C1; b = R 2 C2, and

c = R 1 C 2

C 1

C 1

C 2

R 3

Vo(w)/Vi(w) = (1 + sa)(1 + sb)/

{1 + (a + b + c + d)s+[(a b)+(a d)]s^2}

where a = R 1 C 1 b = R 2 C2,

c = R 1 C2, and d = R 3 C 2