ECE-350 Midterm: ECE 350 Boise State Exam2 sample s00

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One 8 x 11 sheet of notes, and a calculator are allowed during the exam. Write all answers neatly and show your work to get full credit. Rationalize all complex fractions: (10 points) for the following signal x(t) = cos(2t) + 2sin(3t) - cos(5t) - 1, determine the (exponential) fourier series. What is 0: what is the fourier transform, x(j ), of x(t), (5 points) for a periodic function with period t=4, the non-zero fourier series coefficients are. Express the function x(t) in the form a0 = 1, a1 = a-1 = 2, a3 = a*-3 = j x(t) = =akcos( kt+ k: (10 points) determine the (exponential) fourier series of x(t) as shown below. x(t) 0: (5 pts. each) given the signal t. 1 else: determine the fourier transform of x(t). Use the results of (a) to determine the fourier transform of the following signals. 1: (20 points)determine the value of y(t) when x(t)=t2e-2tu(t) h(t)=e-4tu(t)