(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) =...) |
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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_OldKiwi]]== | ==[[Causality_OldKiwi]]== | ||
Revision as of 22:49, 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)| $
(both x(t) = -3 and x(t) = 3 yield the same result)
