| (38 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | 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. ===== | |
| − | + | ||
| − | the decimator performs | + | ===== [[Image:Intro1.jpg]] ===== |
| − | + | ||
| − | decimation, which is downsampling a signal. In other words, when a digital signal is downsampled, the signal's sampling rate would be reduced. | + | = = |
| − | <br> | + | |
| − | [[ | + | = <br> '''2. Derivation''' = |
| − | <br> | + | |
| − | 2. | + | <br> [[Image:Sdf21le.jpg]] <br> [[Image:Derivation2.jpg]] <br> [[Image:Derivaa3.jpg]] |
| − | <br> | + | |
| + | = = | ||
| + | |||
| + | = '''<br> 3. Example''' = | ||
| + | |||
| + | = <br> If) D = 2 <br> [[Image:Ex123.jpg]]<br> [[Image:Ex4342e.jpg]]<br> [[Image:Ex3g3le.jpg]] <br> [[Image:Exam134gggge.jpg]] <br> = | ||
| + | |||
| + | = = | ||
| + | |||
| + | = = | ||
| + | |||
| + | = <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. Moreover, it repeats it's signals every 2π and to prevent aliasing, decimator needs a lowpass filter before the downsampling. ===== | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
<br> | <br> | ||
| − | + | ==[[Downsampling_Soonho_Kwon_slecture_review|Questions and comments]]== | |
| − | + | ||
| − | + | If you have any questions, comments, etc. please post them on [[Downsampling_Soonho_Kwon_slecture_review|this page]]. | |
| − | + | ||
Latest revision as of 05:07, 13 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
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
If you have any questions, comments, etc. please post them on this page.
