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quantitation noise bandwidth question

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yefj

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Hello,Fb is signal bandwidth Fs is sambling frequency.
By nyquist theorem we need Fs=2Fb (at least)
Why the quantitation error limited by Fs2/2 and not Fs?
Thanks.


1597661924086.png
 

Because, when you sample you only have unique frequencies in the range 0 to Fs/2.
 

Why unique at fs/2 our sampling copies the Fb signal Fs to the left or right
 

Frequencies ate Fs-Fb and Fs+Fb alias into Fb, so you can not distinguish them. So, the only unigue frequencies you can work with are 0 to Fs/2
 

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    yefj

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