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mid1_600_old - ECE-600 Introduction to Digital Signal...

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Unformatted text preview: ECE-600 Introduction to Digital Signal Processing Wi11 Midterm #1 Feb. 4, 2011 MIDTERM EXAMINATION #1 Name: Instructions: • Do not turn over this cover page until instructed to do so. • You will have 48 minutes to complete this exam. • You are allowed to consult the letter-sized piece of paper which you have prepared beforehand. You are not allowed to consult any other materials nor a calculator. • Please write clearly and include sufficient explanation with all of your answers. • If you write on the backs of the pages, indicate this so the grader does not miss your work. • Do not unstaple the test pages. P. Schniter, 2011 1 1. (20%) Suppose y [ n ] = x [ n- d ] e jθn for an arbitrary signal { x [ n ] } ∞ n =-∞ and for fixed constants d and θ . Write a simplified expression for the DTFT Y ( e jω ) in terms of the DTFT X ( e jω ) and d and θ . P. Schniter, 2011 2 2. (40%) Say that x ( t ) has a real-valued CTFT X c ( j Ω) that looks like: X c ( j 2 πf ) f [Hz] 1 6...
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mid1_600_old - ECE-600 Introduction to Digital Signal...

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