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[[Category:ECE438 (BoutinFall2009)]]
 
[[Category:ECE438 (BoutinFall2009)]]
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== ECE 438 ==
  
'''under construction'''
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'''Q:''' What is ECE 438 about?
  
Q: What is ECE 438 about?
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'''A:''' Digital signals and systems.
  
A: Digital signals and systems.
 
  
Q: What is a digital signal?
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'''Q:''' What is a digital signal?
  
A: A signal that can be represented by a sequence of 0's and 1's.
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'''A:''' A signal that can be represented by a sequence of 0's and 1's.
The signal must be discrete time (D.T.): x[n], n e Z
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*The signal must be discrete time (D.T.):
The signal values must come from a discrete and finite signal.
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**x[n], n e Z
e.g. x[n] e {0,1}
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*The signal values must come from a discrete and finite signal.
    x[n] e {0,1,2,3,...,255} (grayscale values)
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**e.g. x[n] e {0,1}
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**e.g. x[n] e {0,1,2,3,...,255} (grayscale values)
  
The Digital System
 
  
digital signal -> system -> digital signal
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== The Digital System ==
  
Three main types
 
# Software (MATLAB, C program)
 
# Firmware
 
# Hardware
 
  
Advantages of Digital Signals & Systems
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Three main types:
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*Software (MATLAB, C program)
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*Firmware
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*Hardware
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== Advantages of Digital Signals & Systems ==
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Digital Systems are:
 
Digital Systems are:
 
*Precise
 
*Precise
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*Can be saved on a bistable storage device
 
*Can be saved on a bistable storage device
  
x(t) CT World -------------------> x[n] DT World
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== The Continuous Time World and The Discrete Time World ==
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The Continuous Time (C.T.) World
 
The Continuous Time (C.T.) World
 
*Most natural signals live here
 
*Most natural signals live here
 
*Things are intuitive
 
*Things are intuitive
*Easy Math
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*Easy math
  
 
The Discrete Time (D.T.) World
 
The Discrete Time (D.T.) World
*Digital lives here, along with computers, MATLAB, and digital circuits.
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*Digital media lives here, along with computers, MATLAB, and digital circuits.
  
 
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Revision as of 07:39, 22 September 2009

ECE 438

Q: What is ECE 438 about?

A: Digital signals and systems.


Q: What is a digital signal?

A: A signal that can be represented by a sequence of 0's and 1's.

  • The signal must be discrete time (D.T.):
    • x[n], n e Z
  • The signal values must come from a discrete and finite signal.
    • e.g. x[n] e {0,1}
    • e.g. x[n] e {0,1,2,3,...,255} (grayscale values)


The Digital System

Three main types:

  • Software (MATLAB, C program)
  • Firmware
  • Hardware


Advantages of Digital Signals & Systems

Digital Systems are:

  • Precise
  • Reproducible
  • Easy to build
  • Adaptable
  • Easy to upgrade/fix
  • Can be saved on a bistable storage device


The Continuous Time World and The Discrete Time World

The Continuous Time (C.T.) World

  • Most natural signals live here
  • Things are intuitive
  • Easy math

The Discrete Time (D.T.) World

  • Digital media lives here, along with computers, MATLAB, and digital circuits.

Back to ECE438 (BoutinFall2009)

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett