# Probability Density Function - Complex Gaussian Noise

Referencing the attached:

NOTE:

The solution for part B is highlighted within the attached file. Re-stated here it is:

p(I) = ( 1 / < I > ) exp ( - I / < I > )

I'm not sure how.

Part a, is essentially:

Integral (infinity, 0) p(I, theta) di.

which according to my calculation equals:

- 1

--- exp (-I/2*sigma^2) evaluated at (infinity and 0)

I * pi

Now if I plug in infinity and zero for I i get (infinity - zero). Seems odd!!

Refer to the attachment for more information.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddfhttps://brainmass.com/statistics/probability-density-function/probability-density-function-complex-gaussian-noise-24365

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Probability Density Function - Complex Gaussian Noise

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a) I think you have done some error in integrating; I am getting a better solution.

I will use "@" for phase angle theta, and "~" for ...

#### Solution Summary

The expert examines probability density functions and complex Gaussian Noise. The solution is given step-by-step equationally.