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A Linear system is a system that makes the result of 1. and 2. equal. | A Linear system is a system that makes the result of 1. and 2. equal. | ||
1. For any function x1(t) that goes into the system and is multiplied by A is added to a function x2(t) that goes into the system and is multiplied by B so that the added result is z(t) | 1. For any function x1(t) that goes into the system and is multiplied by A is added to a function x2(t) that goes into the system and is multiplied by B so that the added result is z(t) | ||
| − | + | <pre> | |
(X1(t) --> system --> *A) | (X1(t) --> system --> *A) | ||
+ (X2(t) --> system --> *B) | + (X2(t) --> system --> *B) | ||
----------------------------- | ----------------------------- | ||
z(t) | z(t) | ||
| + | </pre> | ||
2. For any function x1(t) that is multiplied by A and added to any function x2(t) that is multiplied by B, of which then the whole goes into the system. | 2. For any function x1(t) that is multiplied by A and added to any function x2(t) that is multiplied by B, of which then the whole goes into the system. | ||
Revision as of 10:06, 11 September 2008
A Linear system is a system that makes the result of 1. and 2. equal. 1. For any function x1(t) that goes into the system and is multiplied by A is added to a function x2(t) that goes into the system and is multiplied by B so that the added result is z(t)
(X1(t) --> system --> *A)
+ (X2(t) --> system --> *B)
-----------------------------
z(t)
2. For any function x1(t) that is multiplied by A and added to any function x2(t) that is multiplied by B, of which then the whole goes into the system.
[Ax1(t) + Bx2(t)]--> system --> w(t)
So if w(t) = z(t) then the system is linear.
Example of Non Linear System
Lets say that the system is
