%0 Journal Article %T Comparison of Two Approaches to Modeling Additive White Gaussian Noise as It Acts on Arbitrary Signals %A Serhii Rassomakhin %A Joseph Brifman %J Int'l J. of Communications, Network and System Sciences %P 39-50 %@ 1913-3723 %D 2025 %I Scientific Research Publishing %R 10.4236/ijcns.2025.184004 %X 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. %K Additive White Gaussian Noise (AWGN) %K Normal Distribution %K Sampling %K Signal-to-Noise Ratio %K Fourier Transformation %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=143467