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<math> x(t) = a*x1(t) + b*x2(t) = a*y1(t) + b*y2(t) </math> | <math> x(t) = a*x1(t) + b*x2(t) = a*y1(t) + b*y2(t) </math> | ||
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| + | Take for a simple example: | ||
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| + | Ex) What is the output of: | ||
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| + | <math> x[n] = e^j*pi*n -> n*e^-j*pi*n </math> | ||
Revision as of 15:19, 18 September 2008
The Basics of Linearity
A system is linear if its inputs are sequentially equal to the outputs for a certain function:
$ x(t) = a*x1(t) + b*x2(t) = a*y1(t) + b*y2(t) $
Take for a simple example:
Ex) What is the output of:
$ x[n] = e^j*pi*n -> n*e^-j*pi*n $
