(New page: =The six basic properties of Systems= ==Memory== A system with memory has outputs that depend on previous (or future) inputs. Example of a system '''with''' memory: <math>y(t) =...)
 
Line 19: Line 19:
  
 
Example of a '''non-invertible''' system:
 
Example of a '''non-invertible''' system:
<math>y(t) = |x(t)|</math> (both x(t) = -3 and x(t) = 3 yield the same result)
+
<math>y(t) = |x(t)|</math>
 +
 
 +
(both x(t) = -3 and x(t) = 3 yield the same result)
  
 
==[[Causality_Old Kiwi]]==
 
==[[Causality_Old Kiwi]]==

Revision as of 22:49, 17 June 2008

The six basic properties of Systems_Old Kiwi

Memory_Old Kiwi

A system with memory has outputs that depend on previous (or future) inputs.

Example of a system with memory: $ y(t) = x(t - \pi) $

Example of a system without memory: $ y(t) = x(t) $

Invertibility_Old Kiwi

An invertible system is one in which there is a one-to-one correlation between inputs and outputs.

Example of an invertible system: $ y(t) = x(t) $

Example of a non-invertible system: $ y(t) = |x(t)| $

(both x(t) = -3 and x(t) = 3 yield the same result)

Causality_Old Kiwi

Stability_Old Kiwi

Time Invariance_Old Kiwi

Linearity_Old Kiwi

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett