Cutoff Rate Bounds and Constellation Shaping under Mixed Gaussian-Impulsive Noise

Communication systems operating in mixed white Gaussian and impulsive noise (IN) environments suffer from severe performance degradation, rendering conventional constellations suboptimal. In this paper, we propose a joint geometric and probabilistic shaping scheme designed to maximize the cutoff rate (CR) under such mixed noise conditions. Instead of relying on loose approximations, we derive rigorous closed-form lower and upper bounds for the CR. To overcome the analytical intractability of the