ECE-350 Midterm: ECE 350 Boise State Exam2 sample f00

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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. 3 what are the fourier series coefficients of y(t) (call them bk)? (e) what is y(t) for these fourier series coefficients: (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) both by equation 4. 9 and by using the tables. Use the results of (a) to determine the fourier transform of the following signals. 1 t: (20 points)determine the value of y(t) when x(t)=t2e-2tu(t) h(t)=e-4tu(t) By taking the fourier transform of x(t) and h(t): (15 points) a system has the impulse response.