m (Non Periodic Signal)
 
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=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
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<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>
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==Continuous Time==
 
==Continuous Time==
 
===Periodic signals===
 
===Periodic signals===

Latest revision as of 06:20, 14 April 2010

Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

Continuous Time

Periodic signals

A periodic signal is one that for a given real number "a": $ x(t) = x(t+a) $

Ccadwall-periodicwaves ECE301Fall2008mboutin.png

http://en.wikibooks.org/wiki/Signals_and_Systems/Periodic_Signals


Non Periodic signals

Non-periodic signals are those which no value of "a" satisfies the following equation. $ x(t) = x(t+a) $

Ccadwall-audio signal ECE301Fall2008mboutin.png

http://ac3filter.net/files/docs/ac3filter_1_30b/loudness_eng.html

Discrete Time

Periodic Signal

A periodic discrete time signal is one that satisfies :

$ x[n] = x[n + A] $

For a given integer value 'A'

Ccadwall-DT periodic ECE301Fall2008mboutin.png

http://www.dsprelated.com/dspbooks/mdft/Shift_Operator.html

Non Periodic Signal

A non periodic signal is one that cannot satisfy:

$ x[n] = x[n + A] $

For any integer value 'A'

Ccadwall-DT nonperiodic ECE301Fall2008mboutin.png

http://www.vocw.edu.vn/content/m10810/latest/

Alumni Liaison

BSEE 2004, current Ph.D. student researching signal and image processing.

Landis Huffman