but all we'd get once reconstructed would be the fundamental sine wave. In other words, always think à la Fourier. For starters, let's think about the famous Nyquist frequency a bit. Most people have ...

If you pay attention to the ADC’s sampling rate and the type of signal you want to capture, though, for all practical purposes you can get close enough. Figure 1. Thirty-two samples over one cycle ...

The lower frequencies are easier, not harder, to represent at a given sampling rate. The idea of a "pure" tone of a given frequency is often introduced as a sine wave, the familiar waveform that ...

and the overall process is referred to as sampling. It creates a representation of the wave using "slices" of discrete values, which looks somewhat stair-stepped when we lay it over our sine-wave ...

The above two examples are deliberately "neat and tidy" - I choose to represent a sine wave which is an even divisor of the sampling rate so that the samples are evenly spaced across the sine wave.

When I unrolled it to get rid of some of the bulky tortilla, a beautiful piece of math appeared: The cut edge wasn’t a straight line but gently undulated up and down to form a sine wave.

Just connect up the dots with a sine wave! It’s as plain ... that are significantly higher than your sampling frequency. Just as the 235 Hz wave leaves an apparent 35 Hz waveform in the data ...