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Unformatted text preview: EE301 Signals and Systems In-Class Exam Exam 1 Thursday, Feb. 25, 2010 Cover Sheet Test Duration: 75 minutes. Coverage: Chaps. 1,2,3 Open Book but Closed Notes. One 8.5 in. x 11 in. crib sheet Calculators NOT allowed. This test contains two problems. All work should be done in the blue books provided. You must show all work for each problem to receive full credit. Do not return this test sheet, just return the blue books. Prob. No. Topic(s) Points 1. Continuous Time Signals and System Properties and CT Fourier Series 55 2. Discrete Time Signals and System Properties 45 1 Problem 1. [55 points] Consider two LTI systems connected in parallel , where each of the two systems in parallel are respectively characterized by the following input-output relationships: System 1: y 1 ( t ) = 2 integraltext t t- 1 x ( ) d System 2: y 2 ( t ) = integraltext t- 1 t- 2 x ( ) d As is the case with systems in parallel, the three systems have x ( t ) as a common input and their resective outputs are summed to yield the overall output...
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- Spring '06