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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.
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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.
 
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}
 
    x[n] e {0,1,2,3,...,255} (grayscale values)
 
  
The digital system
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'''Q:''' What is a digital signal?
  
digital signal -> system -> digital signal
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'''A:''' 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 ∈ 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)
  
Three main types
 
Software (MATLAB, C Program)
 
Firmware
 
Hardware
 
  
Advantages of digital signals & systems
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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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 +
 
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== 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
  
x(t) CT World -------------------> x[n] DT World
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'''The Discrete Time (D.T.) World'''
-most natural signals live here    -digital media lives here
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*Digital media lives here, along with computers, MATLAB, and digital circuits.
-things are intuitive              along with computers, MATLAB,
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-easy math                          and digital circuits.
+
  
 
[[ ECE438 (BoutinFall2009)|Back to ECE438 (BoutinFall2009)]]
 
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Latest revision as of 09:07, 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)

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal