Adaptive algorithms for blind channel equalization in impulsive noise

The unsupervised adaptive mitigation of intersymbol interference in an additive impulsive noise envi-ronment, modeled as generalized Gaussian, is dealt in this work. The theory of statistical invariance, Wijsman's theorem , is used to develop a maximal-invariant test to discriminate equally-likely pulsed sig-nals against impulsive disturbance leading to an admissible cost function for blind equalization. The cost function is optimized to realize two adaptive equalizers capable of not only mitigating intersymbol inter-ference but also robust to impulsive disturbance. Numerical simulations, obtained on a baseband digital microwave radio system for amplitude-phase shift keying signaling in an additive (generalized Gaussian and symmetric-alpha stable) impulsive environment, confirm the admissibility of the proposed equalizers in terms of robustness and steady convergence. (c) 2022 Elsevier B.V. All rights reserved.