Problem

Suppose that x1(t) is periodic with period T1 and that x2(t) is periodic with period T2.(a...

Suppose that x1(t) is periodic with period T1 and that x2(t) is periodic with period T2.

(a) Show that the sum

x(t) = x1(t) + x2(t)

is periodic only if the ratio T1 / T2 is equal to a ratio of two integers k2/k1.


(b) Find the fundamental period T0 of x(t), for T1/T2 = k2/k1.

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Solutions For Problems in Chapter 2