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]] ynaynay nxn, where *indicates the complex conjugate of a complex number. We know that the complex exponentials nzare eigenfunctions of LTI systems, and now we will see if the same is true for this system. (a)Assuming that  0for 0n, compute 1y nfor 0,1nwhere 1xnn. (b)Assuming that [ ]0for 0n, compute 2ynfor 0,1nwhere
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