vault backup: 2025-01-09 18:15:23
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@ -42,4 +42,7 @@ So then...
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$$\delta_T(t) = \frac{1}{T} \sum_{N=-\infty}^N e^{j(\frac{2\pi}{T})Nt}$$
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$$\delta_T(t) = \frac{1}{T} \sum_{N=-\infty}^N e^{j \omega_s T Nt} $$
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Then, this can be used to get all the way to $X(z)$.
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**Insert Steps from Class to get to $X^*(Z)$**
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The spectrum of the sampled signal is also a periodic function of frequency with period $\omega_s$.
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![[Pasted image 20250109181319.png]]
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