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A system is called linear if for any inputs, x1 & x2, yielding outputs y1 & y2 the response to | A system is called linear if for any inputs, x1 & x2, yielding outputs y1 & y2 the response to | ||
| − | a*x1 + b*x2 is a*y1 + b*y2. | + | a*x1 + b*x2 is equal to a*y1 + b*y2. |
| Line 10: | Line 10: | ||
The system below | The system below | ||
| − | + | <pre> | |
| − | x1 => system => *a | + | x1 => system => *a \ |
+ => y(t) | + => y(t) | ||
| − | x2 => system => *b | + | x2 => system => *b / |
| − | + | </pre> | |
equals th system below | equals th system below | ||
| − | + | <pre> | |
| − | x1*a => system | + | x1*a => system \ |
+ => y(t) | + => y(t) | ||
| − | x2*b => system // | + | x2*b => system / |
| + | </pre> | ||
Latest revision as of 14:58, 11 September 2008
A system is called linear if for any inputs, x1 & x2, yielding outputs y1 & y2 the response to
a*x1 + b*x2 is equal to a*y1 + b*y2.
i.e
The system below
x1 => system => *a \
+ => y(t)
x2 => system => *b /
equals th system below
x1*a => system \
+ => y(t)
x2*b => system /
