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

Abstract: 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.