ex1 - ECE320 First Examination Spring 2006 Cornell...

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Unformatted text preview: ECE320 First Examination Spring 2006 Cornell University T.L.Fine FAILURE TO FOLLOW INSTRUCTIONS WILL RESULT IN A LOSS OF POINTS. CLOSED BOOK, NO NOTES, CALCULATORS, OR SCRAP PAPER. TURN OFF CELLPHONES. ALLOTTED TIME IS 1 hour and 30 min. SHOW YOUR WORK, GIVE REASONS, NOT JUST ANSWERS. Place your three-digit ID number, not your name, on each sheet. Work each problem on a separate sheet of paper so that the individual questions can be separated for grading. 1. (a)(6pts) Consider the function f specified by D = { a, b, & } = R , graph( f ) = { ( a, b ) , ( b, &) , (& , a ) } . Let g = f ( f ) be the composition of f with itself. What are the domain, codomain, and graph of g ? (b)(2pts) In a signal g ( t ) = (1 + f ( t ))cos( c t ) , what qualitative effect does varying have on the bandwidth of g ? (c)(2pts) In a signal g ( t ) = cos( c t + ( t )) , what qualitative effect does varying have on the effective bandwidth of g ?...
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ex1 - ECE320 First Examination Spring 2006 Cornell...

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