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= '''1. Introduction''' = | = '''1. Introduction''' = | ||
| − | === | + | ===== Sampling is essential to convert analog signal to digital signal. In this page, I would specifically<br>explain about downsampling. In digital signal processing, the decimator performs decimation, which is<br>downsampling a signal. In other words, when a digital signal is downsampled, the signal's sampling<br>rate would be reduced. ===== |
| − | = [[Image:Intro1.jpg]] | + | ===== [[Image:Intro1.jpg]] ===== |
= = | = = | ||
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= <br> '''2. Derivation''' = | = <br> '''2. Derivation''' = | ||
| − | <br> [[Image:Sdf21le.jpg]] <br> [[Image:Derivation2.jpg]] <br> [[Image:Derivaa3.jpg]] | + | <br> [[Image:Sdf21le.jpg]] <br> [[Image:Derivation2.jpg]] <br> [[Image:Derivaa3.jpg]] |
= = | = = | ||
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= <br> '''4. Conclusion''' = | = <br> '''4. Conclusion''' = | ||
| − | = <br> Downsampling reduces the magnitude by a factor of D, and increases the width of signals by D in the frequency domain. | + | ===== <br> 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. ===== |
| − | + | ||
Revision as of 11:57, 10 October 2014
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
