DSP Midterm

DSP Midterm - EE 448 Midterm Exam March 6, 2007 Name: ID...

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EE 448 Midterm Exam March 6, 2007 Name: ID (last 4 digits): Score: Instructions: This exam is closed-book and closed-notes with the exception of an 8 . 5 ±± × 11 ±± 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 nal answers. Good luck! 1. (40 points) Mixed Problems: (a) (5 points) Write down the expression of the convolution sum of two sequences x [ n ] and h [ n ] . (b) (5 points) Write down the de nition of the DTFT X ( e ) of a sequence x [ n ] ,andthede nition of the inverse DTFT. (c) (5 points) What is the energy and average power of μ [ n ] ? (d) (5 points) Is ˜ x [ n ] = 2 cos(1 . 3 πn 0 . 5 π ) + 2 sin(0 . 25 ) a periodic sequence? If yes, what is the fundamental period? (e) (15 points) Determine whether the following statements are true or false. Brie y justify your answer. i. An absolutely summable sequence has a nite energy. ii. System y [ n ]= x [2 n ] is time-invariant.
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DSP Midterm - EE 448 Midterm Exam March 6, 2007 Name: ID...

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