EM-based maximum-likelihood channel estimation in multicarrier systems with phase distortion

Rodrigo Carvajal, Juan C. Agüero, Boris I. Godoy, Graham C. Goodwin

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


In this paper, we address channel-impulse response (CIR) estimation in multicarrier systems with phase distortion, namely, phase noise (PHN) and carrier frequency offset (CFO). The estimation problem also considers the joint estimation of the channel noise variance, CFO, and PHN bandwidth. We develop a general state-space model for multicarrier systems, separating the complex signals into their real and imaginary parts. This provides a valid framework for any modulation scheme (proper or improper). We use the expectation-maximization (EM) algorithm to solve the maximum-likelihood (ML) estimation problem. Our approach exploits the linear and Gaussian structure associated with the transmitted signal. Due to the nonlinear nature of the PHN, sequential Monte Carlo (MC) techniques are considered. Our analysis includes general expressions under different training scenarios.We show, via simulation, the impact of PHN bandwidth estimation on overall parameter estimation, and we study the impact of different training levels. In addition, we consider the accuracy of the parameter estimates, providing expressions for the Fisher information matrix (FIM) and focusing on the estimation accuracy of the PHN bandwidth.

Original languageEnglish
Pages (from-to)152-160
Number of pages9
JournalIEEE Transactions on Vehicular Technology
Issue number1
StatePublished - 2013
Externally publishedYes


  • Carrier frequency offset
  • Channel estimation
  • Expectation-maximization (EM) algorithm
  • Maximum likelihood (ML) estimation
  • Multicarrier systems
  • Phase noise


Dive into the research topics of 'EM-based maximum-likelihood channel estimation in multicarrier systems with phase distortion'. Together they form a unique fingerprint.

Cite this