Gaussian

Variance of the product of two samples with awgn

Variance of the product of two samples with awgn
  1. What is the distribution of product of two Gaussian random variables?
  2. How do you calculate the variance of a noise signal?
  3. What is the variance of a Gaussian?
  4. What is the mean and variance of Gaussian distribution?

What is the distribution of product of two Gaussian random variables?

A random variable product of two independent gaussian random variables is not gaussian except in some degenerate cases such as one random variable in the product being constant. A product of two gaussian PDFs is proportional to a gaussian PDF, always, trivially.

How do you calculate the variance of a noise signal?

The noise variance is calculated as the mean of the difference between these two frames, the corresponding signal value is calculated as the mean over all the signal values in these frames. The graph in Figure 1 (a) shows the variance plotted over the respective mean signal value.

What is the variance of a Gaussian?

2.1 Gaussian Noise

where μ is the mean of the average value of z and σ is its standard deviation. The standard deviation squared, σ2, is called the variance of z.

What is the mean and variance of Gaussian distribution?

Gaussian functions are widely used in statistics to describe the normal distributions and hence are often used to represent the probability density function of a normally distributed random variable with expected value μ=b and variance σ2=c2 σ 2 = c 2 .

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