practice_final1 - EE 341 Spring 2006 Prof. Atlas Final Exam...

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EE 341 Spring 2006 Prof. Atlas Final Exam June 6, 2006 Your Name: Solutions Exam Instructions: 1. Open book and notes. But as listed in our course syllabus: “No electronic devices (calculators, laptops, Pilots, cell phones, beepers, etc.) are allowed for exams.” 2. Do not open this exam until 2:30! 3. Put all your answers in the appropriate space . Feel free to attach extra worksheets if necessary. 4. Turn in your work and put your name at the top of all loose worksheets. This work will be looked at for possible partial credit. 5. Justify all of your answers. 6. The exam will be collected promptly at 4:20! Continuing to work after the bell will cause you to lose points. 7. This exam has a total of 9 pages (including this page). 8. The weight (out of 200) of each section of each problem is located to the right of the problem in parentheses. 9. The total weight for this exam is 200 points. After this exam is graded, your score will be recorded on the back of the last page. Page 1 of 9
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EE 341 Spring 2006 Prof. Atlas Problem 1 Standard linear convolution within input[] x n , impulse response , and output [] hn y n is represented by [] [] [] y nx nh n =∗ . For this problem the input is and for the impulse response we only know that . [] 2[ 1 ] xn n n δδ =+ − [] 7 n =−∞ = a) Must the system represented by this convolution be bounded-input bounded-output (BIBO) stable? Yes or no? Please justify your answer. (10 points) The system is not necessarily stable. The necessary and sufficient condition for stability is absolute summability which is that n is finite. There is no absolute value in the above problem statement. The infinite sum being finite does not necessarily imply that the infinite absolute sum is finite.
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This note was uploaded on 02/28/2010 for the course E E 235 taught by Professor Sharma during the Spring '10 term at University of Washington.

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practice_final1 - EE 341 Spring 2006 Prof. Atlas Final Exam...

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