1. Introduction
Sampling is essential to convert analog signal to digital signal. In this page, I would specifically
explain about downsampling. In digital signal processing, the decimator performs decimation, which is
downsampling a signal. In other words, when a digital signal is downsampled, the signal's sampling
rate would be reduced.
2. Derivation
3. Example
If) D = 2
4. Conclusion
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Downsampling reduces the magnitude by a factor of D, and increases the width of signals by D in the frequency domain.
Moreover, it repeats it's signals every 2π and to prevent aliasing, decimator needs a lowpass filter before the downsampling.
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