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'''Causalty'''
 
'''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>
+
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 <math>t_0,</math>
  
<pre>Y(<math>t_0,</math>) only depends on X(t) with t<<math>t_0,</math>
+
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) {non causal}
  
Y(t) = X(t-1){causal}.</pre>
+
Y(t) = X(t-1){causal}

Latest revision as of 08:57, 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 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}

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang