Line 8: Line 8:
  
 
<math>x(t)= e^{st}</math>
 
<math>x(t)= e^{st}</math>
 +
 +
we can determine  the output using convolution integral
 +
 +
<math>y(t)= int_{-infty}^{infty}h(T)x(t-T)\, dt </math>

Revision as of 15:25, 23 September 2008

A Signal for which the output signal  is constant times the input is referred as
an eigenfunction of the system,andthe amplitude is called the 
system's eigenvalue'

let the input be

$ x(t)= e^{st} $

we can determine the output using convolution integral

$ y(t)= int_{-infty}^{infty}h(T)x(t-T)\, dt $

Alumni Liaison

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

Dr. Paul Garrett