User:Eub/scratch
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| signal | in the time domain | in the frequency domain |
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(1) ![x[n]\,](../../../math/b/0/f/b0f955b87baf7377b98b47ed9c723949.png)
The original discrete-time signal, sampled at fs. |
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(2) ![x_\delta(t) \quad = \sum_{n=-\infty}^{\infty} x[n]\,\delta\left (t - n/f_s\right )](../../../math/6/7/b/67bf74ff0e448a2ec43b162983fcfda6.png)
Construct a continuous-time signal by placing a unit impulse for each sample. |
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(3)  |
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(4) ![x'[n] = x'\left ( n/f'_s \right )\,](../../../math/3/c/4/3c42cbba4be4d9b58e2b0267cc5b05b3.png)
Create the desired discrete-time signal (4) by sampling the signal (3) at appropriate times. This x'[n] is x[n] resampled to the new sampling ratef's. |
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.
