# HW8 - EE 341 Spring 2011 Problem Set 8 Due by 9:30am...

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EE 341, Spring 2011 Problem Set 8 Due by 9:30am, Tuesday, May 24 Problem 1 – Multiplication of signals Oppenheim, Willsky and Nawab, 5.27 part (a) for subparts (i)-(iii), and (b). Problem 2 – Frequency-domain convolution Oppenheim, Willsky and Nawab, 5.28. Problem 3 – Sampling Oppenheim, Willsky and Nawab, 7.22 Problem 4 – Eigenfunctions Consider the system described by the input-output relationship * 12 [] [ 1 ] ] [] yn ayn ay n xn  , where * indicates the complex conjugate of a complex number. We know that the complex exponentials n z are eigenfunctions of LTI systems, and now we will see if the same is true for this system. (a) Assuming that [] 0 for 0 n , compute 1 y n for 0,1 n where 1 x nn . (b) Assuming that [ ] 0 for 0 n , compute 2 y n for 0,1 n where
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