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Memory less system

A system is memoryless if for any $ t\in \mathbb{R} $ only on the input at $ t_0, $

Eg:

 Y(t) = X(t) + X(t-1){ memoryless}
 Y(t) = X(t)+X(t-1)  { with memory}.


Invertible systems

A system is invertible if distinct inputs yield distinct outputs.

Eg:

 Y(t) = 2x(t) + 3.

Causalty

A system is called causal if output at any given time only depends on input in present and past(not future)ie; for any time $ t_0, $

Y($ t_0, $) only depends on X(t) with t<$ t_0, $

Y(t) = X(t+1) {non causal}

Y(t) = X(t-1){causal}

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