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sol4 - Name UIN Texas A&M University College Station...

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Name: UIN: Texas A&M University, College Station Electrical Engineering/Computer Engineering ECEN 314, Spring 2011 Wednesday, April 13, 2011 Quiz #4 Dr. Deepa Kundur Duration: 50 minutes All work must be performed within the space provided. You may use the back of sheets if necessary. No aids such as calculators or cheat sheets allowed. Answer all questions. If a particular question seems unclear, please explicitly state any reasonable assumptions and proceed with the problem. Please properly label all points of interest on sketches and graphs that you are requested to draw. For full points, show all steps and present results clearly . Question Earned Grade 1 /10 2 /10 3 /10 Total /30 1
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1. Determine the Fourier Series (FS) representation of the following signal: x ( t ) = 2 sin(4 πt - 3) + cos(6 πt ) For full points, please provide both an expression for X [ k ] (in polar coordinates) and a graph of it | X [ k ] | and the phase of X [ k ].
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