| Line 15: | Line 15: | ||
Eg: | Eg: | ||
<pre> Y(t) = 2x(t) + 3.</pre> | <pre> Y(t) = 2x(t) + 3.</pre> | ||
| + | |||
| + | '''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 tme <math>t_0,</math> | ||
| + | |||
| + | <pre>Y(<math>t_0,</math>) only depends on X(t) with t<<math>t_0,</math> | ||
| + | |||
| + | Y(t) = X(t+1) {non causal} | ||
| + | |||
| + | Y(t) = X(t-1){causal}.</pre> | ||
Revision as of 07:54, 18 September 2008
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 tme $ t_0, $
Y(<math>t_0,</math>) only depends on X(t) with t<<math>t_0,</math>
Y(t) = X(t+1) {non causal}
Y(t) = X(t-1){causal}.
