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| − | <font size=" | + | <font size="2">Equation: <math>y[n] = x[n]^4</math></font> |
<math>x_{1}[n] \to sys \to *a \to</math> | <math>x_{1}[n] \to sys \to *a \to</math> | ||
Revision as of 12:23, 10 September 2008
Definition
A system in which the outputs are components of an linear eqation which is equal to the value of a linear operator applied to a linear equation whose components are the inputs.
Examples
Linear System:
Non-Linear System:
Equation: $ y[n] = x[n]^4 $
$ x_{1}[n] \to sys \to *a \to $ $ + \to a x_{1}[n]^4 + b x_{2}[n]^4 $ $ x_{2}[n] \to sys \to *b \to $
$ x_{1}[n] \to *a \to $ $ + \to sys \to (a x_{1}[n] + b x_{2}[n])^4 $ $ x_{2}[n] \to *b \to $
