| Line 12: | Line 12: | ||
Ex) What is the output of: | Ex) What is the output of: | ||
| − | <math> x[n] = e^j*pi*n -> n*e^-j*pi*n </math> | + | <math> x[n] = e^{j*pi*n} -> n*e^{-j*pi*n} </math> |
| + | <math> x[n] = | ||
Revision as of 15:21, 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} $ $ x[n] = $
