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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>

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) $

Alumni Liaison

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

Dr. Paul Garrett