From fbbc7a1717b30040d18a66ebaa45823947efa11e Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Thu, 9 Jan 2025 18:15:23 -0500 Subject: [PATCH] vault backup: 2025-01-09 18:15:23 --- 2025-01-09 Sampling Theory.md | 5 ++++- Pasted image 20250109181319.png | Bin 0 -> 167877 bytes 2 files changed, 4 insertions(+), 1 deletion(-) create mode 100644 Pasted image 20250109181319.png diff --git a/2025-01-09 Sampling Theory.md b/2025-01-09 Sampling Theory.md index f65bc52d7..5f09d7e52 100644 --- 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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