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

doi:10.1109/LATINCOM.2015.7430112

EM-based sparse channel estimation in OFDM systems with ℓ_q-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 proceeding › Conference contribution › peer-review

1 Scopus citations

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 ℓ_q-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 language	English
Title of host publication	2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015
Editors	Gonzalo M. Fernandez Del Carpio
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467384513
DOIs	https://doi.org/10.1109/LATINCOM.2015.7430112
State	Published - 9 Mar 2016
Externally published	Yes
Event	7th IEEE Latin-American Conference on Communications, LATINCOM 2015 - Arequipa, Peru Duration: 4 Nov 2015 → 6 Nov 2015

Publication series

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

Conference

Conference	7th IEEE Latin-American Conference on Communications, LATINCOM 2015
Country/Territory	Peru
City	Arequipa
Period	4/11/15 → 6/11/15

Access to Document

10.1109/LATINCOM.2015.7430112

Cite this

Carvajal, R., Agüero, J. C., Godoy, B. I., & Katselis, D. (2016). EM-based sparse channel estimation in OFDM systems with ℓ_q-norm regularization in the presence of phase noise and frequency offset. In G. M. Fernandez Del Carpio (Ed.), 2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015 Article 7430112 (2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/LATINCOM.2015.7430112

Carvajal, Rodrigo ; Agüero, Juan C. ; Godoy, Boris I. et al. / EM-based sparse channel estimation in OFDM systems with ℓ_q-norm regularization in the presence of phase noise and frequency offset. 2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015. editor / Gonzalo M. Fernandez Del Carpio. Institute of Electrical and Electronics Engineers Inc., 2016. (2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015).

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

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.",

author = "Rodrigo Carvajal and Ag{\"u}ero, {Juan C.} and Godoy, {Boris I.} and Dimitrios Katselis",

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Carvajal, R, Agüero, JC, Godoy, BI & Katselis, D 2016, EM-based sparse channel estimation in OFDM systems with ℓ_q-norm regularization in the presence of phase noise and frequency offset. in GM Fernandez Del Carpio (ed.), 2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015., 7430112, 2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015, Institute of Electrical and Electronics Engineers Inc., 7th IEEE Latin-American Conference on Communications, LATINCOM 2015, Arequipa, Peru, 4/11/15. https://doi.org/10.1109/LATINCOM.2015.7430112

EM-based sparse channel estimation in OFDM systems with ℓ_q-norm regularization in the presence of phase noise and frequency offset. / Carvajal, Rodrigo; Agüero, Juan C.; Godoy, Boris I. et al.
2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015. ed. / Gonzalo M. Fernandez Del Carpio. Institute of Electrical and Electronics Engineers Inc., 2016. 7430112 (2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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Carvajal R, Agüero JC, Godoy BI, Katselis D. EM-based sparse channel estimation in OFDM systems with ℓ_q-norm regularization in the presence of phase noise and frequency offset. In Fernandez Del Carpio GM, editor, 2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015. Institute of Electrical and Electronics Engineers Inc. 2016. 7430112. (2015 7th IEEE Latin-American Conference on Communications, LATINCOM 2015). doi: 10.1109/LATINCOM.2015.7430112