If x[n] is periodic of period N 1 > 0 and y[n] is periodic of period N

Question:

If x[n] is periodic of period N₁> 0 and y[n] is periodic of period N₂> 0

(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]

N,N2 gcd[N1, N2]

(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 (2Ï€n/3), y[n] = 1 + sin (6Ï€n/7), generate and plot their sum z[n] and product v[n], find their periods and verify your analytic results.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:13 AM

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If x[n] is periodic of period N 1 > 0 and y[n] is periodic of period N

Question:

N,N2 gcd[N1, N2]

Step by Step Answer:

a The condition is that for nondivisible integers M and K ie that this ratio be a rational number Th...View the full answer

Signals and Systems using MATLAB

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