PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

452 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 ) − 2 u(t − 2 ) and h(t) = 5 t.

P.4.22 Evaluate the following LTs by hand, using Table 4.2:

a. u(t) i. e−^2 tcos( 10 t) u(t)

b. 3 + 2 u(t) j. sinh( 10 t) u(t)

c. δ(t) k. cosh(10t − π/ 4 ) u(t)

d. δ(t − 2 ) l. 2e−^3 t + 5 cos( 3 t) u(t)

e. 3δ(t − 4 ) + 6 δ(t + 5 ) m. e−^3 tsin( 10 t + π/ 3 ) u(t)

f. cos( 15 t) u(t) n. 3e−^2 tu(−t)

g. sin( 2 t) u(t) o. cos( 10 t) cos( 15 0t)

h. 5e−^2 t u(t) p. cos( 10 t)sin( 15 0t)

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

Vi(w) V 0 (w)

FIGURE 4.93
Circuit diagram of P.4.18.

R = 1 Ω

Vi(w) C = 2 F R = 1 Ω V 0 (w)

FIGURE 4.94
Circuit diagram of P.4.19.