(Linearity)
(Linearity)
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A*x1(t) + B*x2(t) => A*y1(t) + B*y2(t) .... extendable for any amount of complex numbers (A, B, C...) and functions (x1, x2, x3...)
 
A*x1(t) + B*x2(t) => A*y1(t) + B*y2(t) .... extendable for any amount of complex numbers (A, B, C...) and functions (x1, x2, x3...)
  
Linear System:  
+
Linear System:  
Let x1[n] = 2n  
+
Let x1[n] = 2n  
    x2[n] = 4n
+
    x2[n] = 4n

Revision as of 07:47, 11 September 2008

Linearity

Linearity- A system is linear if a constant that multiplies an input to a system is also present in the output. Adding any number of linear combinations of complex numbers and functions of time together does not affect the linearity of the system.

A*x1(t) + B*x2(t) => A*y1(t) + B*y2(t) .... extendable for any amount of complex numbers (A, B, C...) and functions (x1, x2, x3...)

Linear System: 
Let x1[n] = 2n 
    x2[n] = 4n

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