(a) Consider the periodic signals x 1 (t) = 4cos(t) and x 2 (t) = sin(3t +/2)....
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(a) Consider the periodic signals x1 (t) = 4cos(πt) and x2(t) = −sin(3πt +π/2). Find the periods T1 of x1 (t) and T2 of x2 (t) and determine if x(t) = x1 (t) + x2(t) is periodic. If so, what is its fundamental period T0?
(b) Two periodic signals x1(t) and x2(t) have periods T1 and T2 such that their ratio T1/T2 = 3/12, determine the fundamental period T0 of x(t) = x1(t) + x2(t).
(c) Determine whether x1(t) + x2(t), x3(t) + x4(t) are periodic when
* x1(t) = 4cos (2π t) and x2(t) = −sin(3πt + π/2),
* x3(t) = 4cos (2 t) and x4(t) = −sin(3πt + π/2)
Use symbolic MATLAB to plot x1 (t) + x2 (t), x3(t) + x4(t) and confirm your analytic result about their periodicity or lack of periodicity.
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a The signal x 1 t 4 cost has frequency 1 22 so that the period of x 1 t is T 1 2 Likew...View the full answer
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