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Practical MATLAB
® Applications for Engineers
e. angle[H(w)] versus w
f. mag[Y(w)] versus w
g. angle[Y(w)] versus w
h. y(t) versus t
P.4.21 Repeat P.4.20 for the cases where x(t) = u(t) + u(t − 1) − 2u(t − 2) and h(t) = 5t.
P.4.22 Evaluate the following LTs by hand, using Table 4.2:
a. u(t)
i. e
−2t cos(10t) u(t)
b. 3 + 2u(t)
j. sinh(10t) u(t)
c. δ(t)
k. cosh(10t − π/4) u(t)
d. δ(t − 2)
l. 2e
−3t
+ 5 cos(3t) u(t)
e. 3δ(t − 4) + 6δ(t + 5)
m. e
−3t sin(10t + π/3) u(t)
f. cos(15t) u(t)
n. 3e
−2t u(−t)
g. sin(2t) u(t)
o. cos(10t) cos(150t)
h. 5e
−2t u(t)
p. cos(10t)sin(150t)
P.4.23 Repeat P.4.22 using the MATLAB symbolic toolbox.
P.4.24 Using Table 4.2, determine by hand the following ILTs:
a. sin(w/ 2)/(w/ 2)
b. δ(w)
R = 1 Ω
R = 1 Ω
C = 2 F
C = 2 F
V i (w)
V 0 (w)
FIGURE 4.93
Circuit diagram of P.4.18.
R = 1 Ω
R = 1 Ω
C = 2 F
V i (w)
V 0 (w)
FIGURE 4.94
Circuit diagram of P.4.19.
CRC_47760_CH004.indd 452
CRC_47760_CH004.indd 452
7/28/2008 12:26:25 PM
7/28/2008 12:26:25 PM