(A typed version of the course notes from 8/24/2009)
 
 
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ECE 438 is about digital signals and systems.
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[[Category:ECE438 (BoutinFall2009)]]
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== ECE 438 ==
  
What is a digital signal?
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'''Q:''' What is ECE 438 about?
A signal that can be represented by a sequence of 0's and 1's.
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The signal must be discrete time (D.T.): x[n], n e Z
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The signal values must come from a discrete and finite signal.
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e.g. x[n] e {0,1}
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    x[n] e {0,1,2,3,...,255} (grayscale values)
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The digital system
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'''A:''' Digital signals and systems.
  
digital signal -> system -> digital signal
 
  
Three main types
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'''Q:''' What is a digital signal?
Software (MATLAB, C Program)
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Firmware
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'''A:''' A signal that can be represented by a sequence of 0's and 1's.
Hardware
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*The signal must be discrete time (D.T.):
 +
**x[n], n ∈ Z
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*The signal values must come from a discrete and finite signal.
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**e.g. x[n] ∈ {0,1}
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**e.g. x[n] ∈ {0,1,2,3,...,255} (grayscale values)
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== The Digital System ==
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[[Image:Digitalsystem.png|frameless|upright=3]]
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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 ==
  
Advantages of digital signals & systems
 
 
Digital Systems are:
 
Digital Systems are:
-precise
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*Precise
-reproducible
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*Reproducible
-easy to build
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*Easy to build
-adaptable
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*Adaptable
-easy to upgrade/fix
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*Easy to upgrade/fix
-can be saved on bistable storage device
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*Can be saved on a bistable storage device
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== The Continuous Time World and The Discrete Time World ==
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[[Image:Worlds.png|frameless|upright=3]]
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'''The Continuous Time (C.T.) World'''
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*Most natural signals live here
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*Things are intuitive
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*Easy math
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'''The Discrete Time (D.T.) World'''
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*Digital media lives here, along with computers, MATLAB, and digital circuits.
  
x(t) CT World -------------------> x[n] DT World
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[[ ECE438 (BoutinFall2009)|Back to ECE438 (BoutinFall2009)]]
-most natural signals live here    -digital media lives here
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-things are intuitive              along with computers, MATLAB,
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-easy math                          and digital circuits.
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Latest revision as of 10:07, 23 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 ∈ Z
  • The signal values must come from a discrete and finite signal.
    • e.g. x[n] ∈ {0,1}
    • e.g. x[n] ∈ {0,1,2,3,...,255} (grayscale values)


The Digital System

Digitalsystem.png

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

Worlds.png

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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