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    Probability Density Function - Complex Gaussian Noise

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    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:01 pm ad1c9bdddf
    https://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.

    $2.49

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