Digital Signal Processing Reference
In-Depth Information
Sum of two uniform random variables
Uniform variable in [1,4]
0.4
0.35
0.35
0.3
0.3
0.25
0.25
0.2
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0
0
0
0.5
1
1.5
2
2.5
range
3
3.5
4
4.5
5
2
3
4
5
6
7
8
range
Sum of three uniform random variables
Sum of four uniform random variables
0.35
0.25
0.3
0.2
0.25
0.15
0.2
0.15
0.1
0.1
0.05
0.05
0
0
3
4
56789 0 1 2
4
6
8
10
12
14
16
range
range
2
=3.75
Sum of five uniform random variables
Normal random variable:m=12.5,
s
0.25
0.25
0.2
0.2
0.15
0.15
0.1
0.1
0.05
0.05
0
0
5
0
5
0
6 8 0 2 4 6 8 0
range
range
Fig. 4.43
PDFs of the sum of uniform random variables and the normal PDF
Q.4.8. The normal random variable
X
has a mean value of zero and a variance of
1. Which of the two events,
A ¼
{|
X
|
0.5} and
B ¼
{|
X
|
0.5}, is more
probable?
Q.4.9. Is it possible to obtain a single normal variable using a transformation of a
single uniform random variable?
Search WWH ::
Custom Search