Title :
EM-based sparse channel estimation in OFDM systems with ℓq-norm regularization in the presence of phase noise and frequency offset
Author :
Rodrigo Carvajal;Juan C. Ag?ero;Boris I. Godoy;Dimitrios Katselis
Author_Institution :
Electronics Engineering Department, Universidad T?cnica Federico Santa Mar?a, Chile
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.
Keywords :
"OFDM","Maximum likelihood estimation","Optimization","Channel estimation","Phase noise","Receivers"
Conference_Titel :
Communications (LATINCOM), 2015 7th IEEE Latin-American Conference on
DOI :
10.1109/LATINCOM.2015.7430112