A let xn and yn be periodic signals with fundamental


a. Let x[n] and y[n] be periodic signals with fundamental periods N1 and N2, respectively.

Under what conditions is the sum x[n] + y[n] periodic? If it is periodic, what is the fundamental period of this signal?

b. Consider two signals

x(t) = cos(2?t/3) + 2 sin(16?t/3), y(t) = sin(?t).

Is z(t) = x(t)y(t) periodic? If so, determine the fundamental period. If not, why?

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Electrical Engineering: A let xn and yn be periodic signals with fundamental
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