Q2 - ECE 402 Communications Engineering Quiz 2 Fall 2009...

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ECE 402 Communications Engineering Quiz 2 Fall 2009 TEST NAME: STUDENT NUMBER: INSTRUCTIONS Write your name and student number in the space provided above. This quiz is closed book and closed notes. Two handwritten 8.5” × 11” reference sheets may be used (both sides). Conventional calculators may be used (but no computers, PDAs or other wireless devices) Give step-by-step solutions that include all details. Assume the graders know only the basics. Box your final answer . GRADES 1 2 3 4 Total 1
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Problem 1 (25 pts): The heights of American women are well modeled as a Gaussian distribution with a mean of 64” (5’ 4”) and a standard deviation of 3”. What fraction of American women are over 5’ 10” (=70”)? 2
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One of two equally likely messages is sent over an AWGN channel with noise PSD N 0 / 2 using pulse-width modulation (PWM) , where 0 τ T : 0 T 0 ( ) x t D 1 ( ) x t 0 T D τ (a) Find the optimal receiver in its simplest form. In what sense is it optimal? (b) Find the bit-error-rate of the optimal receiver in terms of D , T , τ and N 0 . What value of τ gives the best bit-error-rate? 3
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Q2 - ECE 402 Communications Engineering Quiz 2 Fall 2009...

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