(New page: == Linearity == <pre> Given 2 functions x1 and x2, constants a and b, outputs y1 and y2, and system s A system is linear if you take x1->S->y1, x2->S->y2 z=a*y1+b*y2 a*x1+b*x2->S->w I...) |
(→Linearity) |
||
| Line 7: | Line 7: | ||
z=a*y1+b*y2 | z=a*y1+b*y2 | ||
| − | a*x1+b*x2->S->w | + | a*x1+b*x2->S->a*y1+b*y2=w |
If z==w then the system is linear | If z==w then the system is linear | ||
| Line 13: | Line 13: | ||
This is better demonstrated by the diagram and examples below. | This is better demonstrated by the diagram and examples below. | ||
</pre> | </pre> | ||
| + | [[Image:Scan0001_ECE301Fall2008mboutin.jpg|800px|thumb|left|alt text]] | ||
Latest revision as of 06:27, 18 September 2008
Linearity
Given 2 functions x1 and x2, constants a and b, outputs y1 and y2, and system s A system is linear if you take x1->S->y1, x2->S->y2 z=a*y1+b*y2 a*x1+b*x2->S->a*y1+b*y2=w If z==w then the system is linear If z!=w then the system is nonlinear This is better demonstrated by the diagram and examples below.
