Mathematical modeling of noise in digital telecommunications systems and its impact on signal quality
DOI:
https://doi.org/10.55892/jrg.v9i20.3068Keywords:
Noise, digital telecommunications, mathematical modeling, signal-to-noise ratio, signal qualityAbstract
Noise is one of the main factors affecting the performance of digital telecommunication systems, as it introduces random disturbances that degrade the transmitted signal and reduce the reliability of the received information. From a mathematical perspective, noise can be modeled as a stochastic process superimposed on the useful signal, directly influencing key quality parameters such as the signal-to-noise ratio (SNR) and the bit error rate (BER). This article analyzes the mathematical modeling of noise in digital telecommunication systems, with particular emphasis on additive white Gaussian noise (AWGN), which is widely used as a reference model due to its statistical properties and applicability in the analysis of real communication channels. Using tools from probability, statistics, and signal analysis, the impact of noise on signal quality is evaluated, showing that increasing noise levels lead to a progressive degradation of system performance. This study provides a theoretical basis that contributes to the understanding and optimization of digital communication systems.
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