PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

98 Practical MATLAB® Applications for Engineers

be the transfer function of a discrete system. Write a MATLAB program that returns

a. The impulse as well as the step response

b. The zero/pole diagram

c. The system output if its input is given by

x(n) = 0.6ncos((2 pi n)/(256)), for n = 0, 1, 2, 3, ..., 256

d. The plot of the output if the input x(n) given in part c is truncated by a triangular

window with size of N = 128

e. Repeat part d for the Hamming, Hanning, and Blackman windows

P.1.33 Write a program (or programs) that returns the sequences and plots shown in Fig-
ure 1.80.

P.1.34 The Parabolic or Parzen window is defi ned by the following equation:

wn

nM

M

()




1

2

{}

Write a program that returns the plots of w(n) versus n, for n = 31 and M = 0.5, 1 ,

and 5 , and discuss the effect of M.

y1(x)

y3 (x)

y5 (x) y6(x)

y4 (x)

y2(x)

2

− 10 − 1

− 2 − 1

− 4

− 3 − 1 1

2

310

− 2

1

1

2

2

2

4

2

02

1

3

00

0

(^00)
10
24
(^110) − 10 − 1 1
1
2
3
10
x
x
x
x
x
1
1
x
FIGURE 1.80
Plots of P.1.33.