Suppose
is a circular Gaussian random variable whose PDF is described by Equation,
![](https://test.transtutors.com/qimg/909a3baf-df25-4b30-b3e6-e41c424f8103.png)
(a) Find the PDF of the magnitude,
for the special case when ![](https://test.transtutors.com/qimg/90215677-d818-452b-85fa-8bc6ad067221.png)
(b) Find the PDF of the magnitude
for the general case when ![](https://test.transtutors.com/qimg/a8c9c82f-d6a0-49c0-8364-3cd031ae2fd2.png)
(c) For the case when
show that the PDF of the phase angle is well approximated by a Gaussian PDF. What is the variance of the Gaussian PDF that approximates the PDF of the phase angle.