Does the Nyquist Sampling theorem hold for a triangular wave produced by a function generator?

For example, a triangular wave with a frequency of 15 Hz sampled at 60 Hz, 180 Hz and 15000 Hz.


1 Answer 1


The Nyquist sampling theorem holds for bandlimited signals. Note that a perfect triangle wave is composed of a (convergent) infinite series of harmonics, which requires infinite bandwidth and is thus not bandlimited.

However, the energy remainder after a suffinciently large number of harmonics might be small enough than for a given noise floor that you can treat the portion of the triangle wave that is above that noise floor as bandlimited below some point above that last kept harmonic.

  • $\begingroup$ The point is that it holds for any bandlimited signal. So, if you know you're dealing with a specific signal shape, and only need to estimate a few parameters of that, then less samples might do, but you couldn't reconstruct just any signal with less samples than Nyquist demands. $\endgroup$ Jan 22, 2018 at 6:42

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