Nyquist–Shannon sampling theorem: Difference between revisions

Revision as of 06:49, 15 February 2025

Revision as of 03:48, 18 February 2025

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:<math>X(f)\ \triangleq\ \int_{-\infty}^{\infty} x(t) \ e^{- i 2 \pi f t} \ {\rm d}t,</math>

Then the samples, <math>x[n],</math> of <math>x(t)</math> are sufficient to create a [[periodic summation]] of <math>X(f).</math> (see [[Discrete-time Fourier transform#Relation to Fourier Transform]])''':'''

{{Equation box 1|title=