Answer Happy

Let X+iY be a complex signal and its magnitude is given by Z=√X² + Y², and phase 0 = tan-¹ (3) if X20 and phase 0 = tan-¹ (X) + if X<0. π X-N(0,1) and Y-N(0,1). Use the MATLAB or on functions to create a Gaussian distributed random value of X. Repeat this procedure and form a new random value of Y. Finally, form a random value of Z and 0, respectively. Repeat this procedure many times to create a large number of realizations of Z and 0. Using these samples, estimate and plot the probability density functions of Z and 0, respectively. Find analytical distributions among what we learned in the lectures that seem to fit your estimated PDFs. To clarify, you need to submit your code, plots of sample distributions and analytical distributions (as well as names and parameters of the analytical distributions). Note: X-N(0,1) denotes random variable X follows a Gaussian distribution with mean 0 and variance 1.