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EE302 Homework #4
Remark
Note;
Hint:
Note
=(
)
(
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±
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=3
1
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=()
2
==
(
)
=23
()=
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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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 Spring '08
 GELFAND
 Normal Distribution, Volt, Probability theory, quantization error

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