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Unformatted text preview: ECE 3250 HOMEWORK ASSIGNMENT II Fall 2009 For many of the problems, you might find the following geometricseries identities useful. In the equations, is a real or complex number. M X m =0 m = ( M + 1 if = 1 1 M +1 1 if 6 = 1 . Furthermore, X m =0 m = 1 1 when  < 1. In first six problems, find x 1 * x 2 . Please try to express your answer in the form x 1 * x 2 ( n ) = f ( n ) if n g ( n ) if n < , which is the same as x 1 * x 2 ( n ) = f ( n ) u ( n ) + g ( n ) u ( n 1) for all n Z . 1. x 1 = u and x 2 is the signal with specification x 2 ( n ) = 3 n u ( n ), n Z . 2. x 1 and x 2 are signals with specification x 1 ( n ) = 3 n u ( n ) and x 2 ( n ) = 7 n u ( n ) for all n Z . 3. x 1 and x 2 are signals with specification x 1 ( n ) = x 2 ( n ) = 5 n u ( n ) for all n Z . 4. x 1 and x 2 are signals with specification x 1 ( n ) = u ( n 1) and x 2 ( n ) = 3 n for all n Z ....
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