(43 intermediate revisions by 2 users 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. ===== | ||
+ | |||
+ | ===== [[Image:Intro1.jpg]] ===== | ||
+ | |||
+ | = = | ||
+ | |||
+ | = <br> '''2. Derivation''' = | ||
+ | |||
+ | <br> [[Image:Sdf21le.jpg]] <br> [[Image:Derivation2.jpg]] <br> [[Image:Derivaa3.jpg]] | ||
+ | |||
+ | = = | ||
+ | |||
+ | = '''<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 06:07, 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
![Ex123.jpg](/rhea/images/c/c7/Ex123.jpg)
![Ex4342e.jpg](/rhea/images/1/13/Ex4342e.jpg)
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.