If x[n] is periodic of period N 1 > 0 and y[n] is periodic of period N
Question:
(a) What should be the condition for the sum z[n] of x[n] and y[n] to be periodic?
(b) What would be the period of the product v[n] = x[n] y[n]
(c) Would the formula
(gcd[N1, N2] stands for the greatest common divisor of N1 and N2) give the period of the sum and the product of the two signals x[n] and y[n]?
(d) If x[n] = cos (2Ïn/3), y[n] = 1 + sin (6Ïn/7), generate and plot their sum z[n] and product v[n], find their periods and verify your analytic results.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: