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300s School/ME 2046 - Digital Control Theory/2025-01-09 Sampling Theory.md
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@ -48,5 +48,7 @@ The spectrum of the sampled signal is also a periodic function of frequency with
![[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.
**Band Limited** $|X(j\omega)|=0 \forall |\omega|>\omega_0$
# Shannon's Sampling Theorem # Shannon's Sampling Theorem
- x(t) can be uniquely determined if the samples have sampling frequency with a specific - x(t) can be uniquely determined if the samples have sampling frequency with a specific