Sampling Theory

Creator
Creator
Seonglae Cho
Created
Created
2023 May 11 9:49
Editor
Edited
Edited
2024 Oct 22 23:53

x → y using h

just to show all filter design is same for every case when signal has ideal condition (
Band limited
,
LTI System
). All analogy assume that we know the original continuous function
  • s stands for sampling, d stands for discrete
  • c stands for continuous
The factor 1T\frac{1}{T} in the equation accounts for the fact that each sample contributes a term of 1T\frac{1}{T} to the frequency domain representation
Sampling → discrete processing →
Lowpass filter
→ Gain → De-sampling
T → 1 (not a same scale)
T → 1 (not a same scale)
notion image
x[n]=xc(nT),Ω=ω/Tx[n] = x_c(nT), \Omega = \omega /T
Sampling Theory Notion
 
 
 
Sampling Theories
 
 
 
 
 
 
 

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