EE113_Midterm

EE113_Midterm - Name Student Number EE 483 Midterm Spring...

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Name: _______________________ Student Number: ___________________ EE 483 Midterm Spring 2006 Inst: Dr. C.W. Walker Problem Points Score 1 9 2 15 3 12 4 10 5 10 6 10 7 10 8 12 9 12 Total 100 Instructions and Information: 1) Print your name and student number at the top of the page. 2) Make sure your exam has 9 problems and 16 numbered pages. Do not write any work to be graded on the back of the pages. 3) This is a closed book exam. You may use one sheet of notes (front and back). You may also use a calculator. You have 90 minutes to take this exam. 4) Partial credit will be given but you must show your work where appropriate or justify your answers to receive any credit. 5) Circle or box your final answers.
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Problem 1. For parts (a), (b) and (c) determine whether or not the system is i. linear ii. time-invariant iii. BIBO stable, i.e., bounded input-bounded output stable a. y ( n ) = x ( n ) + x ( n 1) + x ( n 2) + 1 . b. y ( n ) = sin [ x ( n )] . c. y ( n ) = [ x ( n )] 1 /n . Note: You do not need to show a lot of work on this problem if you can quickly recognize the answer. 1
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Problem 1 (extra workspace). 2
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Problem 2. Consider the system described by the following difference equa- tion: y ( n ) 11 10 y ( n 1) + 1 10 y ( n 2) = x ( n ) ,
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