final 08

# final 08 - EE 341 Final Exam Fall 2008 Name Problem Maximum...

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EE 341 Final Exam Fall 2008 December 19, 2008 Name: Problem Maximum Your Number Points Score 1 12 2 18 3 15 4 15 5 15 Total 75 You are permitted to use three 8.5 × 11 formula sheets (both sides). No homework solutions (a penalty will be assessed for noncompliance). Points are given for correct reasoning rather than for answers or formulae or arithmetic. You should justify answers when appropriate. Good Luck!

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1. (12) A channel is modeled as an LTI system with a transfer function whose magnitude is | H ( ω ) | = 1 and phase angle is θ h ( ω ) = - ωt 0 - k cos ωT where k ¿ 1. (a) Explain the type of distortion introduced by this channel. (b) Suppose the input to the channel is x ( t ). Determine the output y ( t ). Hint: Use the fact that k ¿ 1 and the Taylor expansion of e z 1 + z for small z . (c) Discuss how this channel will affect TDM and FDM systems with respect to interference between multiplexed signals. 1
2. Consider the message signal m ( t ) = cos(1000 πt ).

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