Comparison of Two Approaches to Modeling Additive White Gaussian Noise as It Acts on Arbitrary Signals
Serhii Rassomakhin, Joseph Brifman · International Journal of Communications Network and System Sciences · 2025
The purpose of this paper is to substantiate the correct method for modeling additive white Gaussian noise under conditions of using analog filtering when processing a signal-noise mixture. To achieve the result, two methods of noise modeling used in signal processing theory for Gaussian channels are considered: the first is a traditional simplified discrete method, and the second is a more complex, but functionally correct analog-discrete method. As a result of the comparison, the undeniable advantages of the analog-discrete method are proven. A conclusion was made about the preference of using the proposed new method, which ensures the complete adequacy of the noise model.