diff --git a/2025-01-09 Sampling Theory.md b/2025-01-09 Sampling Theory.md
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--- a/2025-01-09 Sampling Theory.md	
+++ b/2025-01-09 Sampling Theory.md	
@@ -42,4 +42,7 @@ So then...
 
 $$\delta_T(t) = \frac{1}{T} \sum_{N=-\infty}^N e^{j(\frac{2\pi}{T})Nt}$$
 $$\delta_T(t) = \frac{1}{T} \sum_{N=-\infty}^N e^{j \omega_s T Nt} $$
-Then, this can be used to get all the way to $X(z)$.
\ No newline at end of file
+**Insert Steps from Class to get to $X^*(Z)$**
+
+The spectrum of the sampled signal is also a periodic function of frequency with period $\omega_s$. 
+![[Pasted image 20250109181319.png]]
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