nLab waveform

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Idea

In the context of signal processing, a waveform is a periodic wave? signal viewed as a function from time to amplitude, both viewed as real-valued variables. One speaks of this as viewing the signal ‘in the time domain’.

This is contrast to describing the wave as a function from frequency to amplitude, where we typically have only a finite set of frequencies. One speaks in this case of viewing the signal ‘in the frequency domain’.

A discrete Fourier transform can be used to pass from the time domain to the frequency domain; an inverse discrete Fourier transform can be used to pass from the frequency domain to the time domain.

See also

Last revised on May 23, 2022 at 04:09:11. See the history of this page for a list of all contributions to it.