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Unformatted text preview: ECE 535 DISCRETE TIME SYSTEMS SPRING 2010 EXAMINATION #1 17 March 2010 Name: Instructions: The examination lasts for 75 minutes and is closed book, closed notes. Do all your work on the pages in this exam booklet. Show your work for each problem on the same page as the problem and on the worksheet that follows each problem page. Do not unstaple these pages. Any unstapled or restapled pages will NOT be graded. Show your work and clearly indicate your final answers. Neatness and organization in your work is important and will influence your grade. Each problem is weighted toward the final total as shown below. Grades 1. (18 pts.) 2. (16 pts.) 3. (16 pts.) 4. (10 pts.) 5. (20 pts.) 6. (20 pts.) Total (100 pts.) On the next pages are some formulas and diagrams that you may find useful. F ( s ) f ( kT ) F ( z ) ( k ) 1 ( k- m ) z- m 1 s 1 ( kT ) z z- 1 1 s 2 kT Tz ( z- 1) 2 1 s 2 kT Tz ( z- 1) 2 1 s + a e- akT z z- e- aT 1 ( s + a ) 2 kTe- akT Tze- aT ( z- e- aT ) 2 a s ( s + a...
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- Spring '09