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Q:

Define the fundamental period of the following signal x[n] = exp(2pi*j*n/3) + exp(3*pi*j*n/4)?

A) 4 B) 12
C) 18 D) 24
 
Answer & Explanation Answer: D) 24

Explanation: The first signal, will repeat itself after 3 cycles. The second will repeat itself after 8 cycles. Thus, both of them together will repeat themselves only after LCM(8,3) = 24 cycles.

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