Impulsive noises widely existing in various channels can significantly degrade the performance and reliability of communication systems. The Bernoulli-Gaussian (BG) model is practical to characterize noises in this category. To estimate the BG model parameters from noise measurements, a precise impulse detection is essential. In this paper, we propose a novel blind impulse detector, which is proven to be fast and accurate for BG noise in underspread communication channels.
I. INTRODUCTIONImpulsive noises are widely observed in various communication systems, including ultra wide-band (UWB) systems [1], wireless local area networks (WLAN) [2], digital subscriber line (DSL) networks [3] and power line communication (PLC) systems [4]. Due to their non-stationary nature and high peak power, they can significantly degrade the performance and reliability of communication systems. Such impacts can become critical in urban and industrial environments where 1) frequent mechanical switching operations and vibrations are present to produce dense impulsive noises, and 2) ultra-high reliability and ultra-low latency are expected in short-range wired/wireless communication applications. Various use cases of this kind have been addressed in scopes of both the Fifth Generation (5G) mobile networks [5] and new advanced industrial communication solutions [6]. In these contexts, techniques of modeling impulsive noises are required as a major tool to define channel models and thereby develop robust communication systems.The Bernoulli-Gaussian (BG) model has been widely applied on impulsive noises. Compared to other common impulsive noise models such like the Middleton's Class-A (MCA) model [7] and the symmetric α-stable (SαS) model [8], the BG model stands out with its compatibility to different noise bandwidths, while simultaneously exhibiting a heavy-tailed probability density function (PDF) with a simple closed-form expression. Moreover, it can be easily extended to the Markov-Gaussian model to characterize noise bursts [9].However, despite these superiorities, the deployment of BG model in communications and signal processing has been limited by the insufficient study on its parameter estimation, or more specifically, on the impulse detection. Unlike the MCA/SαS models that describe the overall statistics of the mixed noise, the BG model separates impulses from the