Suppose X and Y are independent and Gaussian with means of X and Y, respectively, and equal

Question:

Suppose X and Y are independent and Gaussian with means of μX and μY, respectively, and equal variances of σ2. The polar variables are formed according to R =√ X2 + Y2 and θ = tan–1 (Y / X).
- Find the joint PDF of R and θ.
- Show that the marginal PDF of R follows a Rician distribution.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: