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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>
 +
<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] = $

Alumni Liaison

Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett