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Nyquist Theory

Creator
Creator
Seonglae Cho
Created
Created
2020 Aug 23 11:3
Editor
Editor
Seonglae Cho
Edited
Edited
2023 Nov 7 5:44
Refs
Refs
Image Downsampling
Aliasing
Band limited
Claude Shannon
Harry Nyquist

The Nyquist-Shannon sampling theorem

Fundamental bridge between CT and DT
A continuous signal can be perfectly reconstructed from its discrete version using linear interpolation, if sampling occurred with frequency
가장 큰 주파수 2배 이상으로 샘플링하면 복원가능 because of
Frequency-domain representation of sampling
for band limited theory.
Aliasing
distortion을 없에기 위한 최소
Ωs>2ΩN\Omega_s > 2\Omega_NΩs​>2ΩN​
Nyquist Theory Notion
Nyquist frequency
Compressed sensing
Nyquist rate
notion image
 
 
Nyquist–Shannon sampling theorem
The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing. The theorem states that the sample rate must be at least twice the bandwidth of the signal to avoid aliasing distortion. In practice, it is used to select band-limiting filters to keep aliasing distortion below an acceptable amount when an analog signal is sampled or when sample rates are changed within a digital signal processing function.
Nyquist–Shannon sampling theorem
https://en.wikipedia.org/wiki/Nyquist–Shannon_sampling_theorem
Nyquist–Shannon sampling theorem
 
 

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Nyquist Theory
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