My opinion is that these functions are physical functions and not only a mathematical or statistical instructs.
The white noise is generated naturally in resistive and electronic devices and circuits. They appear always as an annoying signal to the useful signal.
Such noise signals are characterized by Gaussian distribution and in the frequency domain they appear as a consatnt spectral power density eqaul to kT.
So, what is the motivation to get an equivalent! What is meant by equivalent distribution!
May be important as the additive white Gaussian Noise is the channel fading and how it attenuates the signal randomly in spatially and temporarily. The probability density function of the signal amplitude follows two models the Rician channel model and the Rayleigh model. While the Rician model has a line of sight components the Rayleigh model assumes complete scattering of the signal.
There are also practical wireless channel models for different environment
My opinion is that these functions are physical functions and not only a mathematical or statistical instructs.
The white noise is generated naturally in resistive and electronic devices and circuits. They appear always as an annoying signal to the useful signal.
Such noise signals are characterized by Gaussian distribution and in the frequency domain they appear as a consatnt spectral power density eqaul to kT.
So, what is the motivation to get an equivalent! What is meant by equivalent distribution!
May be important as the additive white Gaussian Noise is the channel fading and how it attenuates the signal randomly in spatially and temporarily. The probability density function of the signal amplitude follows two models the Rician channel model and the Rayleigh model. While the Rician model has a line of sight components the Rayleigh model assumes complete scattering of the signal.
There are also practical wireless channel models for different environment