A Generalized Framework for Quadratic Noise Modulation Using Non-Gaussian Distributions

Fuente: arXiv
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Autores principales: Zayyani, Hadi, Salman, Mohammad, de Figueiredo, Felipe A. P., de Souza, Rausley A. A.
Formato: Preprint
Publicado: 2025
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author Zayyani, Hadi
Salman, Mohammad
de Figueiredo, Felipe A. P.
de Souza, Rausley A. A.
author_facet Zayyani, Hadi
Salman, Mohammad
de Figueiredo, Felipe A. P.
de Souza, Rausley A. A.
contents This letter generalizes noise modulation by introducing two voltage biases and employing non-Gaussian noise distributions, such as Mixture of Gaussian (MoG) and Laplacian, in addition to traditional Gaussian noise. The proposed framework doubles the data rate by enabling discrimination in both the mean and variance of transmitted noise symbols. This novel modulation scheme is referred to as Generalized Quadratic Noise Modulation (GQNM). Closed-form expressions for the Bit Error Probability (BEP) are derived for the Generalized Gaussian (GG) and Gaussian Mixture of Two Gaussians (GMoTG) cases. Simulation results demonstrate the advantages of the generalized modulation scheme, particularly under non-Gaussian noise assumptions, highlighting its potential for enhanced performance in low-power and secure communication systems.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11378
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Generalized Framework for Quadratic Noise Modulation Using Non-Gaussian Distributions
Zayyani, Hadi
Salman, Mohammad
de Figueiredo, Felipe A. P.
de Souza, Rausley A. A.
Signal Processing
This letter generalizes noise modulation by introducing two voltage biases and employing non-Gaussian noise distributions, such as Mixture of Gaussian (MoG) and Laplacian, in addition to traditional Gaussian noise. The proposed framework doubles the data rate by enabling discrimination in both the mean and variance of transmitted noise symbols. This novel modulation scheme is referred to as Generalized Quadratic Noise Modulation (GQNM). Closed-form expressions for the Bit Error Probability (BEP) are derived for the Generalized Gaussian (GG) and Gaussian Mixture of Two Gaussians (GMoTG) cases. Simulation results demonstrate the advantages of the generalized modulation scheme, particularly under non-Gaussian noise assumptions, highlighting its potential for enhanced performance in low-power and secure communication systems.
title A Generalized Framework for Quadratic Noise Modulation Using Non-Gaussian Distributions
topic Signal Processing
url https://arxiv.org/abs/2509.11378