HW2 - EE 341, Spring 2011 Problem Set 2 Due Monday, April...

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EE 341, Spring 2011 Problem Set 2 Due Monday, April 11 1. (Note, the ellipses, , mean that this aperiodic DT function has zeros as n  .) For the discrete-time signal [] b x n in the figure above, plot: i) [] [ ] b x nun , ii) [][ ] b x nu n , iii) [ 2 ] b x nu n  , iv)   [] [ 1 ] [ 1 ] b xn n n   2. a) For the general case of transformations of discrete-time signals, given [] x n , l x n can be expressed as 0 [ ] l x nA x a n n B  , where a is rational and 0 n is an integer. Solve this expression for[] x n . b) Suppose that for the DT signal below 13 [] 0 . 5 [2 1 ] 1 . x n  Sketch 3 . x n 3. Find the even and the odd parts of the above 1 x n . n 2 0 2 1 -2 3 -2 -1 2 b x n 3 n -2 1 -2 1 x n 2 -1 0 2 2
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4. Let [] e x n and [] o x n be the even and odd parts, respectively, of any sequence[] x n . a) Show that [] 0 o n xn  . b) Show that [] e nn x nx n  
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HW2 - EE 341, Spring 2011 Problem Set 2 Due Monday, April...

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