This question is in continuation of the one asked here :Proper method for generating Channel coefficients in MATLAB

Let's say that the measurement noise $w$ or any random variable is circularly Gaussian complex.

• If the imaginary and real components each has a variance of 0.5, then what would be the total variance  ? Should I write: $w \sim CN(0,\sigma^2_w)$?

• If on the other hand, if $w \sim CN(0,2\sigma^2_w)$ then does it mean that the real and imaginary components each have variance 1, so the total variance is 2. Is my understanding correct?

• Is there a rule of thumb whether the variance should be 0.5 for each component or it can be anything?

This question is in continuation of the one asked here.

Let's say that the measurement noise $w$ or any random variable is circularly Gaussian complex.

• If the imaginary and real components each has a variance of 0.5, then what would be the total variance? Should I write: $w \sim CN(0,\sigma^2_w)$?

• If on the other hand, if $w \sim CN(0,2\sigma^2_w)$ then does it mean that the real and imaginary components each have variance 1, so the total variance is 2. Is my understanding correct?

• Is there a rule of thumb whether the variance should be 0.5 for each component or can it be anything?