Line 11: Line 11:
 
'''A:''' A signal that can be represented by a sequence of 0's and 1's.
 
'''A:''' A signal that can be represented by a sequence of 0's and 1's.
 
*The signal must be discrete time (D.T.):
 
*The signal must be discrete time (D.T.):
**x[n], n e Z
+
**x[n], n ∈ Z
 
*The signal values must come from a discrete and finite signal.
 
*The signal values must come from a discrete and finite signal.
**e.g. x[n] e {0,1}
+
**e.g. x[n] ∈ {0,1}
**e.g. x[n] e {0,1,2,3,...,255} (grayscale values)
+
**e.g. x[n] ∈ {0,1,2,3,...,255} (grayscale values)
  
  

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.

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