Determine whether or not each of the following continuous-time signals is periodic. If

Chapter 1, Problem 1.25

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QUESTION:

Determine whether or not each of the following continuous-time signals is periodic. If the signal is periodic, determine its fundamental period. (a) x(t) = 3cos(4t+ }) (b) x(t) = ei(7Tf-l) (c) x(t) = [cos(2t- })f (d) x(t) = 8v{cos(47Tt)u(t)} (e) x(t) = 8v{sin(47Tt)u(t)} (f) x(t) = L e-<2t-n) u(2t - n) n= -oo

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QUESTION:

Determine whether or not each of the following continuous-time signals is periodic. If the signal is periodic, determine its fundamental period. (a) x(t) = 3cos(4t+ }) (b) x(t) = ei(7Tf-l) (c) x(t) = [cos(2t- })f (d) x(t) = 8v{cos(47Tt)u(t)} (e) x(t) = 8v{sin(47Tt)u(t)} (f) x(t) = L e-<2t-n) u(2t - n) n= -oo

ANSWER:

Step 1 of 10

(a)

The signal is given as,

                                                               

Compare the above equation with .

                                                                      

The angular frequency is,

                                                                      

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