(→Example) |
(→Example) |
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<pre> | <pre> | ||
Let: | Let: | ||
| − | x1(t)=t, x2(t)=t | + | x1(t)=t, x2(t)=2*t; |
| − | y1(t)=2* | + | y1(t)=2*x1(t)= 2*t, y2(t)=3*x2(t)= 6*t; |
a=2, b=3; | a=2, b=3; | ||
| − | so, a*x1(t)+b*x2(t)= | + | so, a*x1(t)+b*x2(t)= |
</pre> | </pre> | ||
Revision as of 15:32, 12 September 2008
Linear System
A system is called "Linear" if for any constants a,b and for any inputs x1(t),x2(t),(x1[n],x2[n]) yielding output y1(t),y2(t),respectively, the respond to a*x1(t)+b*x2(t) is a*y1(t)+b*y2(t)
Example
Let:
x1(t)=t, x2(t)=2*t;
y1(t)=2*x1(t)= 2*t, y2(t)=3*x2(t)= 6*t;
a=2, b=3;
so, a*x1(t)+b*x2(t)=
