practiceExam%232

practiceExam%232 - _ Name ECE 108 Exam 2 3/25/05 1. Given...

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_________________________________________________ Name ECE 108 Exam 2 3/25/05 1. Given the following periodic signals (30pts) (a) Show how you would determine the Fourier coefficients of x(t) using the integral formula. Make sure you properly define the limits of integration and appropriately express x(t) mathematically. Do not complete the integration in this part. (b) It can be shown that the Fourier coefficients of the signal x ( t ) are given by the equation 2 1 33 k X Sa k π  =   Express g ( t ) in terms of x ( t ). Use this result and the properties of the Fourier series to determine the Fourier coefficients, , of signal g(t). Make sure that the coefficient k G G 0 is correct.
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2 2. Given the following periodic signal (40pts) (a) What is the period of this signal? (b) Would you expect the Fourier Coefficients to be real? Briefly explain. (c) Determine the Fourier Series Coefficients. (Hint: You will find that using properties of the Fourier Series simplify the computation, including , but not limited to, integration/differentiation).
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practiceExam%232 - _ Name ECE 108 Exam 2 3/25/05 1. Given...

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