Nyquist Sampling Theorem

The Nyquist Sampling Theorem states that:

A bandlimited continuous-time signal can be sampled and perfectly reconstructed from its samples if the waveform is sampled over twice as fast as it's highest frequency component.

Nyquist limit: the highest frequency component that can be accurately represented:

$\displaystyle f_{\mbox{max}} < f_s/2.

Nyquist frequency: sampling rate required to accurately represent up to $ f_{\mbox{max}}$:

$\displaystyle f_s > 2f_{\mbox{max}}.

No information is lost if sampling above $ 2f_{\mbox{max}}$.

No information is gained by sampling much faster than $ 2f_{\mbox{max}}$.

Is $ f_s = 44,100$ Hz (CD-quality) enough?

``Music 171: Fundamentals of Digital Audio'' by Tamara Smyth, Department of Music, University of California, San Diego (UCSD).
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Copyright © 2019-10-15 by Tamara Smyth.
Please email errata, comments, and suggestions to Tamara Smyth<trsmyth@ucsd.edu>