EE 341 2008 Spring Final Solutions

EE 341 2008 Spring Final Solutions - EE 341 Spring 2008...

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Unformatted text preview: EE 341 Spring 2008 Prof. Atlas Final Exam June 11, 2008 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 8:30! 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 10:20! Continuing to work after the bell will cause you to lose points. 7. This exam has a total of 7 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. Page 1 of 8 EE 341 Spring 2008 Prof. Atlas Problem 1 (Multiple Choice(s), But Please Justify Your Answer) Note: one or more choices could be correct for each problem section below. a) A discrete-time impulse response of a linear time-invariant system is known to be causal, but that’s all the information initially given. In order to determine the inverse of this system and/or if it exists, the best transform of to have would be (circle the correct answer(s) and then justify it(them) ): [ ] h n [ ] h n [ ] h n i i) The Fourier transform of a continuous function or a discrete sequence ii) The z-transform iii) The Fourier series iv) The discrete Fourier transform Justification: (10 points) One can find the inverse of a general causal LTI system via the inverse z-transform of the inverse of the z-transform of a system { } 1 1 [ ] [ ] i h n Z Z h n − = No other transform listed has this general property. b) A discrete-time impulse response of a linear time-invariant system h n is known to be causal but that’s all the information initially given. In order to determine the stability of this system, the best transform to have would be (circle the correct answer(s) and then justify it(them) ): [ ] i) The Fourier transform of a continuous function or a discrete sequence...
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EE 341 2008 Spring Final Solutions - EE 341 Spring 2008...

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