Latest revision as of 06:20, 14 April 2010

Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

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

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

A periodic discrete time signal is one that satisfies :

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

For a given integer value 'A'

A non periodic signal is one that cannot satisfy:

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

For any integer value 'A'

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-==Periodic signals==
+=Periodic versus non-periodic functions ([[Homework_1_ECE301Fall2008mboutin|hw1]], [[ECE301]])=
+<span style="color:green"> Read the instructor's comments [[hw1periodicECE301f08profcomments|here]]. </span>
+==Continuous Time==
+===Periodic signals===
 A periodic signal is one that for a given real number "a":
 <math> x(t) = x(t+a) </math>
+<center>[[Image:Ccadwall-periodicwaves_ECE301Fall2008mboutin.png|400px]]</center>
+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.
+<math> x(t) = x(t+a) </math>
+<center> [[Image:Ccadwall-audio_signal_ECE301Fall2008mboutin.png]]</center>
+http://ac3filter.net/files/docs/ac3filter_1_30b/loudness_eng.html
+==Discrete Time==
+===Periodic Signal===
+A periodic discrete time signal is one that satisfies :
+<math> x[n] = x[n + A] </math>
+For a given integer value 'A'
+<center>[[Image:Ccadwall-DT_periodic_ECE301Fall2008mboutin.png]]</center>
+http://www.dsprelated.com/dspbooks/mdft/Shift_Operator.html
+===Non Periodic Signal===
+A non periodic signal is one that cannot satisfy:
+<math> x[n] = x[n + A] </math>
+For any integer value 'A'
+<center>[[Image:Ccadwall-DT_nonperiodic_ECE301Fall2008mboutin.png]]</center>
+http://www.vocw.edu.vn/content/m10810/latest/