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Unformatted text preview: EE301 Signals and Systems In-Class Exam Exam 1 Tuesday, Feb. 22, 2011 Cover Sheet Test Duration: 75 minutes. Coverage: Chaps. 1,2 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 on the sheets provided. You must show all work for each problem to receive full credit. Plot your answers on the graphs provided. Prob. No. Topic(s) Points 1. Continuous Time Signals and System Properties and CT Fourier Series 60 2. Discrete Time Signals and System Properties 40 1 Problem 1. [60 points] Consider two LTI systems connected in parallel (as in Fig. 2.23 (a) on text page 105) , 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- 4 x ( ) d System 2: y 2 ( t ) = integraltext t- 4 t- 7 x ( ) d As is the case with systems in parallel, the two 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