(Example of Linear system)
(Example of Linear system)
Line 5: Line 5:
 
== Example of Linear system ==
 
== Example of Linear system ==
 
y1(t) = T{x1(t)}<br>
 
y1(t) = T{x1(t)}<br>
y2(t) = T(x2(t))(br>
+
y2(t) = T(x2(t))<br>
 
W(t) a*T{x1(t)} + a*T{x(2)}<br>
 
W(t) a*T{x1(t)} + a*T{x(2)}<br>
  

Revision as of 07:43, 6 September 2008

Linear system

Linear system is a system that satisfies a principle of superpositon. For example, if sinusoid signal is input of a linear system, the frequency of output signal is not changed. Only amplitude and phase can be changed.

Example of Linear system

y1(t) = T{x1(t)}
y2(t) = T(x2(t))
W(t) a*T{x1(t)} + a*T{x(2)}

Y(t) = T{a*x1(t) + a*x2(t)}

If W(t) eaquals to Y(t), System T is linear system.

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