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An invertible system is one in which there is a one-to-one correlation between inputs and outputs. | An invertible system is one in which there is a one-to-one correlation between inputs and outputs. | ||
| − | Example of an '''invertible''' system: | + | *Example of an '''invertible''' system: |
<math>y(t) = x(t)</math> | <math>y(t) = x(t)</math> | ||
| − | Example of a '''non-invertible''' system: | + | *Example of a '''non-invertible''' system: |
<math>y(t) = |x(t)|</math> | <math>y(t) = |x(t)|</math> | ||
| − | + | In the second example, both x(t) = -3 and x(t) = 3 yield the same result. | |
==[[Causality_OldKiwi]]== | ==[[Causality_OldKiwi]]== | ||
Revision as of 21:50, 17 June 2008
Contents
The six basic properties of Systems_OldKiwi
Memory_OldKiwi
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_OldKiwi
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)| $
In the second example, both x(t) = -3 and x(t) = 3 yield the same result.
