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Unformatted text preview: EE 448 Midterm Exam March 14, 2005 Name: ID (last 4 digits): Score: Instructions: This exam is closedbook and closednotes with the exception of an 8 . 5 00 × 11 00 crib sheet. You have 2 hours to complete the exam. Write your name and ID number on all pages of your answers. Show all work for full credit. Mark your final answers. Good luck! 1. (45 points) Mixed Problems: (a) (4 points) Write down the definition of the DTFT X ( e jω ) of a sequence x [ n ] , and the definition of the inverse DTFT. (b) (5 points) Specify the conditions of uniform convergence and meansquare convergence , respectively, of the DTFT of a sequence x [ n ] ? (c) (5 points) Determine the energy and average power, respectively, of x [ n ] = A e jω n . (d) (5 points) Is ˜ x [ n ] = 2 cos(1 . 1 πn . 5 π ) + 2 sin(0 . 7 πn ) a periodic sequence? If yes, what is the fundamental period? (e) (16 points) Determine whether the following statements are true or false. Briefly justify your answer....
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 Spring '08
 
 Digital Signal Processing, Signal Processing, Finite impulse response, absolutely summable sequence, lowpass signal xa

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