On the accuracy of phase noise bandwidth estimation in OFDM systems

Phase noise is of importance in OFDM systems, since it generates intercarrier interference and general system performance degradation. In this paper we analyse the accuracy of maximum likelihood estimation of the phase noise bandwidth for OFDM systems. We utilize the auxiliary functions used in the EM algorithm to obtain an expression for the Fisher information matrix. Our key conclusion is that it is difficult to obtain accurate estimates of the phase noise bandwidth for practical cases when the number of subcarriers is limited.

[1]  Donald M. Wiberg,et al.  Dynamic system identification: Experiment design and data analysis , 1983 .

[2]  Per Ola Börjesson,et al.  ML estimation of time and frequency offset in OFDM systems , 1997, IEEE Trans. Signal Process..

[3]  Graham C. Goodwin,et al.  On identification of FIR systems having quantized output data , 2011, Autom..

[4]  Ramjee Prasad,et al.  Multicarrier techniques for 4G mobile communications , 2003 .

[5]  G. Giannakis,et al.  Wireless Multicarrier Communications where Fourier Meets , 2022 .

[6]  Ramjee Prasad,et al.  OFDM for Wireless Multimedia Communications , 1999 .

[7]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[8]  Mohamed El-Tanany,et al.  Analytical modeling and simulation of phase noise interference in OFDM-based digital television terrestrial broadcasting systems , 2001, IEEE Trans. Broadcast..

[9]  Edward J. Wegman,et al.  Statistical Signal Processing , 1985 .

[10]  Ana García Armada,et al.  Understanding the effects of phase noise in orthogonal frequency division multiplexing (OFDM) , 2001, IEEE Trans. Broadcast..

[11]  Dimitrios Hatzinakos,et al.  Joint estimation of channel response, frequency offset, and phase noise in OFDM , 2006, IEEE Transactions on Signal Processing.

[12]  Luciano Tomba,et al.  On the effect of Wiener phase noise in OFDM systems , 1998, IEEE Trans. Commun..

[13]  Yeheskel Bar-Ness,et al.  OFDM channel estimation in the presence of frequency offset and phase noise , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[14]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[15]  Atika Rivenq,et al.  Non-Pilot-Aided Sequential Monte Carlo Method to Joint Signal, Phase Noise, and Frequency Offset Estimation in Multicarrier Systems , 2008, EURASIP J. Adv. Signal Process..

[16]  Tjeng Thiang Tjhung,et al.  An EM-Based Semiblind Joint Channel and Frequency Offset Estimator for OFDM Systems Over Frequency-Selective Fading Channels , 2008, IEEE Transactions on Vehicular Technology.

[17]  D.G. Dudley,et al.  Dynamic system identification experiment design and data analysis , 1979, Proceedings of the IEEE.

[18]  A. B. M. Shawkat Ali,et al.  Performance Analysis of OFDM Systems with Phase Noise , 2007, 6th IEEE/ACIS International Conference on Computer and Information Science (ICIS 2007).

[19]  M. Kendall,et al.  Kendall's advanced theory of statistics , 1995 .

[20]  Eric Moulines,et al.  Inference in hidden Markov models , 2010, Springer series in statistics.

[21]  Guanghui Liu,et al.  Phase Noise Effects and Mitigation in OFDM Systems over Rayleigh Fading Channels , 2007, Wirel. Pers. Commun..

[22]  Ana García Armada,et al.  Phase noise and sub-carrier spacing effects on the performance of an OFDM communication system , 1998, IEEE Communications Letters.

[23]  Atika Rivenq,et al.  Pilot-Aided Sequential Monte Carlo Estimation of Phase Distortions and Transmitted Symbols in Multicarrier Systems , 2010, J. Electr. Comput. Eng..

[24]  Atika Rivenq,et al.  Monte Carlo Methods for Channel, Phase Noise, and Frequency Offset Estimation With Unknown Noise Variances in OFDM Systems , 2008, IEEE Transactions on Signal Processing.

[25]  Yeheskel Bar-Ness,et al.  OFDM systems in the presence of phase noise: consequences and solutions , 2004, IEEE Transactions on Communications.

[26]  Timothy J. Robinson,et al.  Sequential Monte Carlo Methods in Practice , 2003 .

[27]  G.C. Goodwin,et al.  Approximate EM Algorithms for Parameter and State Estimation in Nonlinear Stochastic Models , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[28]  Thomas B. Schön,et al.  System identification of nonlinear state-space models , 2011, Autom..

[29]  Marc Moeneclaey,et al.  BER sensitivity of OFDM systems to carrier frequency offset and Wiener phase noise , 1995, IEEE Trans. Commun..

[30]  Raúl A. Casas,et al.  Time domain phase noise correction for OFDM signals , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[31]  Georgios B. Giannakis,et al.  Wireless multicarrier communications , 2000, IEEE Signal Process. Mag..

[32]  Haikady N. Nagaraja,et al.  Inference in Hidden Markov Models , 2006, Technometrics.

[33]  François Septier,et al.  MCMC sampling for joint estimation of phase distortions and transmitted symbols in OFDM systems , 2011, Digit. Signal Process..

[34]  Huaping Liu,et al.  Phase Noise Suppression for OFDM Systems Over Fast Time-Varying Channels , 2007, 2007 IEEE International Conference on Communications.

[35]  Kenneth S. Miller,et al.  Complex stochastic processes: an introduction to theory and application , 1974 .