(New page: = '''1. Introduction''' = =====      Sampling is essential to convert analog signal to digital signal. In this page, I would specifically<br>explain about downsamplin...)
 
 
(One intermediate revision by the same user not shown)
Line 30: Line 30:
  
 
If you have any questions, comments, etc. please post them on [[Downsampling_Soonho_Kwon_slecture_review|this page]].
 
If you have any questions, comments, etc. please post them on [[Downsampling_Soonho_Kwon_slecture_review|this page]].
 +
----
 +
[[2014_Fall_ECE_438_Boutin_digital_signal_processing_slectures|Back to ECE438 slectures, Fall 2014]]

Latest revision as of 09:00, 14 March 2015

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.
Intro1.jpg


2. Derivation


Sdf21le.jpg
Derivation2.jpg
Derivaa3.jpg 


3. Example


If) D = 2
Ex123.jpg
Ex4342e.jpg
Ex3g3le.jpg
Exam134gggge.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.


Back to ECE438 slectures, Fall 2014

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood