Phase noise in mimo systems: Bayesian Cramér-Rao bounds and soft-input estimation

Nasir AA, Mehrpouyan H, Schober R, Hua Y (2013)

Publication Type: Journal article

Publication year: 2013

Journal

IEEE Transactions on Signal Processing Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 61

Pages Range: 2675-2692

Article Number: 6422412

Journal Issue: 10

DOI: 10.1109/TSP.2013.2243444

Abstract

This paper addresses the problem of estimating time varying phase noise caused by imperfect oscillators in multiple-input multiple-output (MIMO) systems. The estimation problem is parameterized in detail and based on an equivalent signal model its dimensionality is reduced to minimize the overhead associated with phase noise estimation. New exact and closed-form expressions for the Bayesian Cramér-Rao lower bounds (BCRLBs) and soft-input maximum a posteriori (MAP) estimators for online, i.e., filtering, and offline, i.e., smoothing, estimation of phase noise over the length of a frame are derived. Simulations demonstrate that the proposed MAP estimators' mean-square error (MSE) performances are very close to the derived BCRLBs at moderate-to-high signal-to-noise ratios. To reduce the overhead and complexity associated with tracking the phase noise processes over the length of a frame, a novel soft-input extended Kalman filter (EKF) and extended Kalman smoother (EKS) that use soft statistics of the transmitted symbols given the current observations are proposed. Numerical results indicate that by employing the proposed phase tracking approach, the bit-error rate performance of a MIMO system affected by phase noise can be significantly improved. In addition, simulation results indicate that the proposed phase noise estimation scheme allows for application of higher order modulations and larger numbers of antennas in MIMO systems that employ imperfect oscillators.

Authors with CRIS profile

Robert Schober

Involved external institutions

University of British Columbia CA Canada (CA) University of California, Riverside (UCR) US United States (USA) (US) Australian National University (ANU) AU Australia (AU) California State University, Bakersfield US United States (USA) (US)

How to cite

APA:

Nasir, A.A., Mehrpouyan, H., Schober, R., & Hua, Y. (2013). Phase noise in mimo systems: Bayesian Cramér-Rao bounds and soft-input estimation. IEEE Transactions on Signal Processing, 61(10), 2675-2692. https://dx.doi.org/10.1109/TSP.2013.2243444

MLA:

Nasir, Ali A., et al. "Phase noise in mimo systems: Bayesian Cramér-Rao bounds and soft-input estimation." IEEE Transactions on Signal Processing 61.10 (2013): 2675-2692.

BibTeX: Download