## Contents

- 1
**1. Introduction**- 1.1 Sampling is essential to convert analog signal to digital signal. In this page, I would specificallyexplain about downsampling. In digital signal processing, the decimator performs decimation, which isdownsampling a signal. In other words, when a digital signal is downsampled, the signal's samplingrate would be reduced.
- 1.2

- 2
- 3
**2. Derivation** - 4
- 5
**3. Example** - 6 If) D = 2
- 7
- 8
- 9
**4. Conclusion**

**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

3. Example

If) D = 2

**4. Conclusion**

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.

## Questions and comments

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