Line 1: Line 1:
The system's response to <math>cos(2t)\,</math> will be <math>cos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=x(-t)</math>
+
The system's response to <math>cos(2t)\,</math> will be <math>cos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=x(-t)\,</math>. In this case the graph of the output will be identical to the input because cosine is an even function.

Revision as of 08:04, 18 September 2008

The system's response to $ cos(2t)\, $ will be $ cos(-2t) \, $ because the systems input $ x(t)\, $ yields response $ y(t)=x(-t)\, $. In this case the graph of the output will be identical to the input because cosine is an even function.

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal