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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)

Causality_OldKiwi

Stability_OldKiwi

Time Invariance_OldKiwi

Linearity_OldKiwi

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