Let X and Y be zero-mean independent Gaussian random variables with common variance o². If Z = √X² + Y² and W = arctan(Y/X) where |W| ≤ π/2, what is fzw (z, w)
Let X and Y be zero-mean independent Gaussian random variables with common variance o². If Z = √X² + Y² and W = arctan(Y/X) where |W| ≤ π/2, what is fzw (z, w)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 2
Let X and Y be zero-mean independent Gaussian random variables with common
variance o². If Z = √X² + Y² and W =
-
arctan (Y/X) where
|W| ≤ π/2, what is fzw (z, w)
fzw (z, w)
fzw (z,
,w) =
=
fzw (z, w)
=
z+w
πολ
=
e
All other answers are wrong
fzw (z, w)
e
-2²/20²
ποτ
W
πολ
−z²+w²/20²,0 < z <∞, \w\<
e
´,0 < z <∞, |w| </7/2
/20²
,0 < z <∞, |w| < 1/1
- 2,2
2/20²
,0<z<∞0,|w| </
ㅠ
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