This preview shows pages 1–2. Sign up to view the full content.
ECE 804, Random Signal Analysis
Sep. 24, 2010
OSU, Autumn 2010
Due: Oct. 4
Problem Set 1
Problem 1
For the set Ω =
{
1
,
2
,
3
,
4
}
,
(a) Find the minimal ﬁeld that contains the subsets
{
1
,
2
}
and
{
2
,
4
}
.
(b) Find the minimal ﬁeld that contains the subsets
{
1
,
2
}
and
{
3
,
4
}
.
Problem 2
Consider the random experiment: The time until a PC fails is observed.
(a) Deﬁne a sample space Ω for this experiment.
(b) Describe a possible relevant choice for the ﬁeld
F
.
(c) Deﬁne two events that are mutually exclusive.
(d) Deﬁne two events that have a nonempty intersection.
Problem 3
A photon counter connected to the output of a ﬁber detects the number of photons,
{
N
i
,i
>
1
}
, received for successive pulses generated by a laser connected to the input of
the ﬁber. Specify which one of the following sequences of events,
{
E
k
,k
>
1
}
is increasing,
decreasing or none. Very brieﬂy explain why.
(a)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 10/29/2011 for the course ECE 804 taught by Professor Uysalbiyikoglu during the Fall '05 term at Ohio State.
 Fall '05
 UYSALBIYIKOGLU

Click to edit the document details