Contents
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) $
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) $
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'
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'
