# Question: Suppose Z X jY is a circular Gaussian

Suppose Z = X + jY is a circular Gaussian random variable whose PDF is described by Equation (5.70),

Find the characteristic function associated with this complex Gaussian random variable, ΦZ (ω) = E [exp (jωZ)]. Do you get the same (or different) results as with a real Gaussian random variable.

Find the characteristic function associated with this complex Gaussian random variable, ΦZ (ω) = E [exp (jωZ)]. Do you get the same (or different) results as with a real Gaussian random variable.

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