Unformatted text preview: x ( n2) 3. Let x 1 ( n ) = n [ u ( n + 10)u ( n20)] , x 2 ( n ) = cos(0 . 1 πn )[ u ( n )u ( n30)] , x 3 ( n ) = (1 . 2) n [ u ( n + 5)u ( n10)] . Check the following properties of linear convolution: • Commutation: x 1 ( n ) * x 2 ( n ) = x 2 ( n ) * x 1 ( n ) • Association: x 1 ( n ) * ( x 2 ( n ) * x 3 ( n )) = ( x 1 ( n ) * x 2 ( n )) * x 3 ( n )) • Distribution: x 1 ( n ) * ( x 2 ( n )+ x 3 ( n )) = ( x 1 ( n ) * x 2 ( n ))+( x 1 ( n ) * x 3 ( n )) Hint: You may use the conv m function, provided in the website. 4. Let x ( n ) = (0 . 8) n u ( n ). Determine the ﬁrst 50 samples of y ( n ) = x ( n ) * x ( n ), i.e., n = 1 , 2 ,..., 50. 1...
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 Fall '10
 Prof.HamidJafarkhani
 Digital Signal Processing, Signal Processing

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