Difference between revisions of "HW2-C Joseph Mazzei ECE301Fall2008mboutin" - Rhea

Revision as of 17:49, 11 September 2008

If Z(t) and W(t) in the following are equal the system is linear.

Linear:

Non-Linear:

@@ Line 14: / Line 14: @@
 Linear:
-<math>\ S_{1} = 2x(t + 3) + x(t - 8)</math>
-<math>\ S_{2} = x(t - t_{0})</math>
-<math>\ S_{1} \rightarrow S_{2} = 2x(t - t_{0} + 3) + x(t - t_{0} - 8)</math>
-<math>\ S_{2} \rightarrow S_{1} = 2x(t - t_{0} + 3) + x(t - t_{0} - 8)</math>
-Since the results are the same the system is time invariable.
 Non-Linear:
-<math>\ S_{1} = x(-t + 3) - x(-t - 8)</math>
-<math>\ S_{2} = x(t - t_{0})</math>
-<math>\ S_{1} \rightarrow S_{2} = x(-t + t_{0} + 3) - x(-t + t_{0} - 8)</math>
-<math>\ S_{2} \rightarrow S_{1} = x(-t - t_{0} + 3) - x(-t - t_{0} - 8)</math>
-Since the results are different they system is time variant.