PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

450 Practical MATLAB® Applications for Engineers

d. The bandwidth of f 1 (t) and f 2 (t)

e. The bandwidth of [f 1 (t) + f 2 (t)]

P.4.9 Evaluate the following FTs by hand, using Table 4.1:

a. u(t)

b. 3 + 2 u(t)

c. δ(t)

d. δ(t − 2 )

e. 3δ(t − 4 ) + 6 δ(t + 5 )

f. cos( 15 t)

g. sin( 2 t)

h. cos( 15 t) sin( 2 t)

P.4.10 Repeat P.4.9 by using the MATLAB symbolic toolbox.

P.4.11 Using Table 4.1, determine by hand the following IFTs:

a. (Sin(w/ 2))/(w/ 2)

b. δ(w)

c. cos(3w)

d. 2/(jw + 2)

e. 3/(jw + 2)^2

f. −1/w^2

P.4.12 Repeat P.4.11 by using the MATLAB symbolic toolbox.

P.4.13 Obtain using MATLAB expressions and plots (magnitude and phase) of

a. F 1 (w) =

jw

______

2 + w^2

b. F 2 (w) = _______________^1

(1 + jw)(2 − jw)

P. 4. 14 D e t e r m i n e f 1 (t) and f 2 (t) for the following frequency functions:

a. F 1 (w) = j/(2 − w + jw)
b. F 2 (w) = ___^1
(1 + w^2 )(2 − jw)
P. 4. 1 5 L e t

ft te ut Fw

jw

() t () ( )

()



 2

2

1

2

↔

Obtain plots of

a. f(t) versus t

b. mag[F(w)] versus w

c. phase[F(w)] versus w

d. [power of f(t)] versus w

P.4.16 Given the system shown in Figure 4.91, use MATLAB to obtain the following
plots:
a. x(t) versus t
b. X(w) versus w
c. Y(w) versus w
d. y(t) versus t