Electrical Engineering 20N - Fall 2002 - Lee - Final

# Electrical Engineering 20N - Fall 2002 - Lee - Final - EECS...

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EECS 20. Final Exam December 19, 2002. Please use these sheets for your answer. Write clearly and show your work. Please check that you have 12 numbered pages. Print your name and lab time below Name: Lab time: Problem 1 (12): Problem 2 (16): Problem 3 (28): Problem 4 (24): Problem 5 (20): Total: 1

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1. 12 points. Suppose that x is a discrete-time signal with period p =32 . Below are plotted six possible such signals x . For each of these, match one of the six plots on the next page, or indicate that none matches. matching FS:______________________ matching FS:______________________ matching FS:______________________ matching FS:______________________ matching FS:______________________ matching FS:______________________ 2
Below are six plots of the magnitudes | X k | of the Fourier series coefficients X k of a periodic signal x with period p =32 , for six different such periodic signals. (a) (b) (c) (d) (e) (f) 3

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2. 16 points. Let B = { t, f } be the set of binary truth values. Consider a nondeterministic state machine with States = B × B Inputs = B ∪{ absent } Outputs = B absent } initialState =( f,f ) and the possibleUpdates is given by ( s 1 ,s 2 ) States and i Inputs , possibleUpdates (( s 1 2 ) ,i )= { (( s 1 2 ) , absent ) } if i = absent { (( s 1 2 ) 1 ) , (( s 1 , ¬ s 2 ) 1 ) } if i = f { (( ¬ s 1 2 ) 1 ) , (( ¬ s 1 , ¬ s 2 ) 1 ) } if i = t where the notation
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## This note was uploaded on 05/17/2009 for the course EE 20N taught by Professor Ayazifar during the Spring '08 term at University of California, Berkeley.

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Electrical Engineering 20N - Fall 2002 - Lee - Final - EECS...

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