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Jointly Gaussian Random Variables
Many practically occuring random variables are modeled as jointly Gaussian random variables. For example, noise samples at different instants in the communication system are modeled as jointly Gaussian random variables.
Two random variables are called jointly Gaussian if their joint probability density function is
The joint pdf is determined by 5 parameters
- means

- variances

- correlation coefficient

We denote the jointly Gaussian random variables and with these parameters as
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