EM-based sparse channel estimation in OFDM systems with ℓq-norm regularization in the presence of phase noise and frequency offset

Rodrigo Carvajal, Juan C. Agüero, Boris I. Godoy, Dimitrios Katselis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we consider the problem of estimating sparse communication channels in orthogonal frequency division multiplexing systems with phase noise and carrier frequency offset. We consider the utilization of the ℓq-norm of the channel as a sparsity-promoting regularization term. The corresponding regularized likelihood cost function is expressed in a Bayesian fashion as a Maximum a Posteriori problem, from which the regularization term is expressed as an a priori distribution for the channel. Given the presence of hidden variables (i.e. the phase noise), the Expectation-Maximization algorithm is utilized. We show that the E-step in the proposed algorithm has a closed-form solution for the channel impulse response. In addition, this approach is an extension of previous work of the authors, which covers the popular Lasso.

Original languageEnglish (US)
Title of host publication2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015
EditorsGonzalo M. Fernandez Del Carpio
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467384513
DOIs
StatePublished - Mar 9 2016
Event7th IEEE Latin-American Conference on Communications, LATINCOM 2015 - Arequipa, Peru
Duration: Nov 4 2015Nov 6 2015

Publication series

Name2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015

Conference

Conference7th IEEE Latin-American Conference on Communications, LATINCOM 2015
CountryPeru
CityArequipa
Period11/4/1511/6/15

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

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