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2025-01-09 Sampling Theory.md
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@ -46,4 +46,7 @@ $$\delta_T(t) = \frac{1}{T} \sum_{N=-\infty}^N e^{j \omega_s T Nt} $$
The spectrum of the sampled signal is also a periodic function of frequency with period $\omega_s$. The spectrum of the sampled signal is also a periodic function of frequency with period $\omega_s$.
![[Pasted image 20250109181319.png]] ![[Pasted image 20250109181319.png]]
A lot of times, we need to filter the high frequency stuff out, or else we'll get some issues with aliasing. A lot of times, we need to filter the high frequency stuff out, or else we'll get some issues with aliasing.
# Shannon's Sampling Theorem
- x(t) can be uniquely determined if the samples have sampling frequency with a specific