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ee302hw4_fa09

# ee302hw4_fa09 - EE302 Homework#4 Assigned Due(by 4:30 in...

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± ² ±± ± 22 4 4 2 ± ²³ ´ µ ¶ EE302 Homework #4 Remark Note; Hint: Note =( ) ( ) ± E =3 1 () =() 2 == ( ) =23 ()= E X YX u X u x X ±. Y RQ X XX ± Xa b a < b Yq X K EXYXq X K K. qx qx K ,. gx x qx. gx K ,. X , EgX . E. X, E.. X Assigned 10/14/09, Due 10/23/09 (by 4:30 in dropbox in MSEE 330) 1. Text, problem 3.41, page 134. 2. Text, problem 4.32, page 218 3. A Gaussian random volatage volts is input to a half wave recti±er and the output voltage is Volts were is the unit step function. Assume has mean 0 volts and variance Volts The output voltage is then applied accross a (nonrandom) resistance of ohms. The answers below should be expressed in terms of the or function or in closed form (no integrels). : you may wish to use the fact that if is a Gaussian random variable then (a) Find the probability that the current which ²ows through the resistor exceeds Amp. (b) Find the probability that the power which is dissipated in the resistor exceeds 1 watt. (c) Find the mean and variance of the current which ²ows through the resistor (d) Find the mean and variance of the power which is dissipated in the resistor.
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