# Question Solved1 AnswerDetermine the period of each of the following discrete-time or continuous-time signals. If a signal is not periodic, mention its period as infinity. As before, $$n$$ is the discrete-time variable and $$t$$ is the continuous-time variable. (25 points) a) $$\cos (2 \pi 0.15 n)$$ b) $$\sin (\pi 0.12 n+\pi / 4)$$ c) $$e^{j \cos (\pi 0.12 n)}$$ d) $$\cos (2 \pi 0.35 n+\pi / 100)+4 \sin (2 \pi 0.25 n)$$ e) $$x(t)=\sum_{i=-\infty}^{\infty} p(t-3 i)$$ where $$p(t)$$ is any waveform of finite duration. Hint: sketch and observe $$x(t)$$ by assuming a narrow pulse $$p(t)$$ and then prove your finding if you can.

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Transcribed Image Text: Determine the period of each of the following discrete-time or continuous-time signals. If a signal is not periodic, mention its period as infinity. As before, $$n$$ is the discrete-time variable and $$t$$ is the continuous-time variable. (25 points) a) $$\cos (2 \pi 0.15 n)$$ b) $$\sin (\pi 0.12 n+\pi / 4)$$ c) $$e^{j \cos (\pi 0.12 n)}$$ d) $$\cos (2 \pi 0.35 n+\pi / 100)+4 \sin (2 \pi 0.25 n)$$ e) $$x(t)=\sum_{i=-\infty}^{\infty} p(t-3 i)$$ where $$p(t)$$ is any waveform of finite duration. Hint: sketch and observe $$x(t)$$ by assuming a narrow pulse $$p(t)$$ and then prove your finding if you can.
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Transcribed Image Text: Determine the period of each of the following discrete-time or continuous-time signals. If a signal is not periodic, mention its period as infinity. As before, $$n$$ is the discrete-time variable and $$t$$ is the continuous-time variable. (25 points) a) $$\cos (2 \pi 0.15 n)$$ b) $$\sin (\pi 0.12 n+\pi / 4)$$ c) $$e^{j \cos (\pi 0.12 n)}$$ d) $$\cos (2 \pi 0.35 n+\pi / 100)+4 \sin (2 \pi 0.25 n)$$ e) $$x(t)=\sum_{i=-\infty}^{\infty} p(t-3 i)$$ where $$p(t)$$ is any waveform of finite duration. Hint: sketch and observe $$x(t)$$ by assuming a narrow pulse $$p(t)$$ and then prove your finding if you can.
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