(Periodic Signals)
(Periodic Signals)
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Periodic CT Signal:
 
Periodic CT Signal:
  
A CT signal X(t) is called ''periodic'' if there exists T>0 period such that X(t+T)=X(t),for all values of t.  The ''fundamental period'' is the smallest period of all periods of a signal (denoted by :<math>T_0</math>).
+
A CT signal X(t) is called '''periodic''' if there exists T>0 period such that X(t+T)=X(t),for all values of t.  The '''fundamental period''' is the smallest period of all periods of a signal (denoted by :<math>T_0</math>).
  
 
Periodic DT Signal:
 
Periodic DT Signal:
  
A DT signal X[n] is called ''periodic'' if there exists N>0 period such that X[n+N]=X[n],for all values of n.
+
A DT signal X[n] is called '''periodic''' if there exists N>0 period such that X[n+N]=X[n],for all values of n.
the ''fundamental period'' is the smallest period of all periods of a signal (denoted by <img alt="tex:N_0" style="vertical-align: middle;" />)
+
the '''fundamental period''' is the smallest period of all periods of a signal (denoted by <math>N_0</math>)
  
 
Note that the period N must be an integer in DT, but that the period T in CT can be any positive real number.
 
Note that the period N must be an integer in DT, but that the period T in CT can be any positive real number.

Revision as of 17:12, 16 March 2008

ECE301:ECE301_OldKiwi

Periodic Signals

Periodic CT Signal:

A CT signal X(t) is called periodic if there exists T>0 period such that X(t+T)=X(t),for all values of t. The fundamental period is the smallest period of all periods of a signal (denoted by :$ T_0 $).

Periodic DT Signal:

A DT signal X[n] is called periodic if there exists N>0 period such that X[n+N]=X[n],for all values of n. the fundamental period is the smallest period of all periods of a signal (denoted by $ N_0 $)

Note that the period N must be an integer in DT, but that the period T in CT can be any positive real number.

Class Notes

Here are my class notes for Chapter 1.

!`ECE_Ch1_pt1.pdf`__

__ ECE_Ch1_pt1.pdf


!`ECE_Ch1_pt2.pdf`__

__ ECE_Ch1_pt2.pdf


!`ECE_Ch1_pt3.pdf`__

__ ECE_Ch1_pt3.pdf


!`ECE_Ch1_pt4.pdf`__

__ ECE_Ch1_pt4.pdf


!`ECE_Ch1_pt5.pdf`__

__ ECE_Ch1_pt5.pdf

  • Better quality, but has page breaks.

!`ECE_Ch1_pt1.mht`__

__ ECE_Ch1_pt1.mht


!`ECE_Ch1_pt2.mht`__

__ ECE_Ch1_pt2.mht


!`ECE_Ch1_pt3.mht`__

__ ECE_Ch1_pt3.mht


!`ECE_Ch1_pt4.mht`__

__ ECE_Ch1_pt4.mht


!`ECE_Ch1_pt5.mht`__

__ ECE_Ch1_pt5.mht

  • How to open this file - [.mht Files]
  • .mht doesn't have page breaks.

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva