ECE-350 Final: ECE 350 Boise State FinalExam s05

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Three 8 x 11 sheets of notes, and a calculator are allowed during the exam. Use the extra paper attached or your own, but by the original question indicate on which page each answer is located. Write all answers neatly and show your work to get full credit. Name: _______________: (20 points) you are given the signal x(t) = e-t u(t, (4 points) draw and write the equation for y(t) = x. 2: (8 points) calculate the fourier transform of the signal y(t) using fourier transform properties in tables 4. 1 and 4. 2. Show your steps clearly: (8 points) confirm your answer in (b) by calculating the fourier transform of y(t) using the fourier integral and the signal equation in (a). Name: _______________: (30 points) for security reasons the government want to transmit a band limited signal x(t), shown in figure 2-1, in multiple frequency bands shown in figure 2-2. The proposed transmission scheme is shown in figure 2-3.