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Hos-based Variable Step Volterra Filter

In this paper, we are to develop a second-order LMS-type Volterra filter to reduce distortions of data transmission over analog telephone channels due the channel impulse response and inter-symbol interference (ISI). A novel approach for updating the linear and quadratic coefficients vectors of a second-order Volterra filter is presented. The innovative features of this algorithm provide distin...

Adaptive filtering using Higher Order Statistics (HOS)

The performed job, in this study, consists in studying adaptive filters and higher order statistics (HOS) to ameliorate their performances, by extension of linear case to non linear filters via Volterra series. This study is, principally, axed on:  Choice of the adaptation step and convergence conditions.  Convergence rate.  Adaptive variation of the convergence factor, according to the inpu...

HOS−BASED MULTI−COMPONENT FREQUENCY ESTIMATION (TueAmPO2)

We are considering a problem of carrier frequencies recovery for the linear mixtures of two BPSK signals in Gaussian noise. The goal is to simplify further signal analysis: signal separation, modulation identification and parameters estimation. The presented method is based on multidimensional (time−frequency−phase) representation of the Higher Order Statistics (HOS) of the received signal dist...

New Hybrid HOS-SOS Approach for Blind . . .

This letter presents a new hybrid Higher Order Statistics (HOS) and Second Order Statistics (SOS) based approach in order to improve the performance of the standard Bussgang algorithm for blind equalization of digital communication channels. An additional term based on SOS has been added to the conventional cost function and the Bayesian estimator has been replaced with an adaptive activation f...