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The Nyquist Theorem states that it is possible to reproduce a signal from sampled version of that signal given that the sampling frequency is greater than twice the greatest frequency component of the original signal. | The Nyquist Theorem states that it is possible to reproduce a signal from sampled version of that signal given that the sampling frequency is greater than twice the greatest frequency component of the original signal. | ||
| + | ---- | ||
| + | =Proof= | ||
| + | Let's begin by looking at X(f): | ||
| − | + | ---- | |
[[ 2014 Fall ECE 438 Boutin|Back to 2014 Fall ECE 438 Boutin]] | [[ 2014 Fall ECE 438 Boutin|Back to 2014 Fall ECE 438 Boutin]] | ||
Revision as of 11:58, 4 October 2014
Slecture_Nyquist_Theorem_Stein
The Nyquist Theorem states that it is possible to reproduce a signal from sampled version of that signal given that the sampling frequency is greater than twice the greatest frequency component of the original signal.
Proof
Let's begin by looking at X(f):
