Line 12: Line 12:
 
Ex) What is the output of:
 
Ex) What is the output of:
  
<math> x[n] = e^jpin -> n*e^-jpin </math>
+
<math> x[n] = e^[jpin] -> n*e^[-jpin] </math>

Revision as of 15:20, 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^[jpin] -> n*e^[-jpin] $

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett