Final Exam 2004 Spring

# Final Exam 2004 Spring - EE 448 Final Exam May 3 2004 Name...

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EE 448 Final Exam May 3, 2004 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 ﬁnal answers. Good luck! 1. (40 points) Mixed Problems: (a) (5 points) Consider an analog signal g a ( t ) with highest frequency m . Let g [ n ]= g a ( t ) | t = nT Write down a frequency-domain expression that relates the DTFT G ( e ) of g [ n ] to the CTFT G a ( j Ω) of g a ( t ) . How should you choose T to avoid aliasing? (b) (5 points) Write down the bilinear transform and an expression that relates analog frequency to digital fre- quency ω . (c) (3 points each) Determine whether the following statements are true or false. Brieﬂy justify your answer. i. An LTI system is BIBO stable if and only if its ROC is outside the unit circle. ii. If f ( n ) is an eigenfunction to an LTI system, the output of the system subject to the input f ( n ) can be expressed as cf ( n ) , where c is a constant. iii. It is possible to design zero-phase causal digital ﬁlters.

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## This homework help was uploaded on 04/08/2008 for the course EE 448 taught by Professor - during the Spring '08 term at Stevens.

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Final Exam 2004 Spring - EE 448 Final Exam May 3 2004 Name...

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