User:Eub~enwiki/scratch
| signal | in the time domain | in the frequency domain |
|---|---|---|
| (1)
The original discrete-time signal, sampled at . | ||
| (2)
Construct a continuous-time signal by placing a unit impulse for each sample. | ||
| (3) | ||
| (4)
Create the desired discrete-time signal (4) by sampling the signal (3) at appropriate times. This is resampled to the new sampling rate. |
![{\displaystyle x[n]\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b575dce543a2cf10a5a3e108204b928c2c9aaa54)
![{\displaystyle x_{\delta }(t)\quad =\sum _{n=-\infty }^{\infty }x[n]\,\delta \left(t-n/f_{s}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1ecf0d3e3eb3fe363b564815cddf44aaa83bbfb2)
![{\displaystyle x'[n]=x'\left(n/f'_{s}\right)\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1516eac6d92f8959c6267dda7b65bc99012c6431)
![{\displaystyle x'[n]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b4c7d9f6b3047f4fccbbc9addd6947c3e0ac3a7e)
![{\displaystyle x[n]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/864cbbefbdcb55af4d9390911de1bf70167c4a3d)
Resampling is a term used in statistics to describe a variety of methods for computing summary statistics using subsets of available data (jackknife), drawing randomly with replacement from a set of data points (bootstrapping), or switching labels on data points when performing significance tests (permutation test).
Resampling in digital signal processing refers to converting a sampled signal from one sampling frequency to another. For instance, the output waveform of a DAW that processes at 96 kHz would have to be resampled to 44.1 kHz to be placed on a CD.
These two concepts are related.