Eliminating Impulsive Noise in Pilot-Aided OFDM Channels via Dual of Penalized Atomic Norm

TL;DR

This paper introduces a novel estimator based on penalized atomic norm minimization to effectively eliminate impulsive noise in pilot-aided OFDM channels, improving robustness in high-rate communication systems.

Contribution

It proposes a new estimator that jointly estimates OFDM channels and impulsive noise locations using a convex optimization approach, which is a novel contribution.

Findings

Estimator effectively suppresses impulsive noise in OFDM channels.

Dual problem conversion enables tractable semidefinite programming.

Numerical experiments demonstrate improved channel estimation accuracy.

Abstract

In this paper, we propose a novel estimator for pilot-aided orthogonal frequency division multiplexing (OFDM) channels in an additive Gaussian and impulsive perturbation environment. Due to sensor failure which might happen because of man-made noise, a number of measurements in high rate communication systems is often corrupted by impulsive noise. High power impulsive noise is generally an obstacle for OFDM systems as valuable information will be completely lost. To overcome this concern, an objective function based on a penalized atomic norm minimization (PANM) is provided in order to promote the sparsity of time dispersive channels and impulsive noise. The corresponding dual problem of the PANM is then converted to tractable semidefinite programming. It has shown that one can simultaneously estimate the time dispersive channels in a continuous dictionary and the location of impulsive noise using the dual problem. Several numerical experiments are carried out to evaluate the performance of the proposed estimator.