On the Performance of OFDM Systems in Time Varying Channels with Channel Estimation Error

In this paper, we analyze the performance of Orthogonal Frequency Division Multiplexing (OFDM) systems in time varying channels with channel estimation error. The conventional approach to obtain an analytical expression for the average error probability (bit or symbol) relies on finding the joint probability density function (PDF) of the channel and the channel estimate, and then, average the conditional error probability over the joint PDF. Usually, averaging the conditional error probability requires solving a three-fold integral. We will first give a simple proof to the asymptotic Gaussianity of the Intercarrier Interference (ICI), then we show that by expressing the channel in terms of the channel estimate, the problem of obtaining the average error probability is greatly reduced, and simplified to solving a single integral. The derived expressions are general, and may be used to analyze the performance of a variety of channel estimation schemes for OFDM systems in static and time varying channels.

[1]  Sinem Coleri Ergen,et al.  Channel estimation techniques based on pilot arrangement in OFDM systems , 2002, IEEE Trans. Broadcast..

[2]  G.L. Stuber,et al.  Interchannel interference analysis of OFDM in a mobile environment , 1995, 1995 IEEE 45th Vehicular Technology Conference. Countdown to the Wireless Twenty-First Century.

[3]  O. Edfors,et al.  OFDM channel estimation by singular value decomposition , 1996, Proceedings of Vehicular Technology Conference - VTC.

[4]  Ingo Gaspard.  Impact of the channel estimation onto the BER-performance of PSAM-OFDM systems in mobile radio channels , 2001, IEEE VTS 53rd Vehicular Technology Conference, Spring 2001. Proceedings (Cat. No.01CH37202).

[5]  Philip Constantinou,et al.  Performance evaluation of OFDM transmission over a challenging urban propagation environment , 2003, IEEE Trans. Broadcast..

[6]  Yu Ted Su,et al.  Performance analysis of equalized OFDM systems in Rayleigh fading , 2002, IEEE Trans. Wirel. Commun..

[7]  Umberto Mengali,et al.  A comparison of pilot-aided channel estimation methods for OFDM systems , 2001, IEEE Trans. Signal Process..

[8]  F. Downton,et al.  Nonparametric Methods in Statistics , 1959 .

[9]  Yong Min Ha,et al.  A comparative investigation on channel estimation algorithms for OFDM in mobile communications , 2003, IEEE Trans. Broadcast..

[10]  Jiming Chen,et al.  Effect of channel estimation error onto the BER performance of PSAM-OFDM in Rayleigh fading , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[11]  Norman C. Beaulieu,et al.  Exact error-rate analysis of diversity 16-QAM with channel estimation error , 2004, IEEE Transactions on Communications.

[12]  Yang-Seok Choi,et al.  On channel estimation and detection for multicarrier signals in fast and selective Rayleigh fading channels , 2001, IEEE Trans. Commun..

[13]  Laurence B. Milstein,et al.  Performance Analysis of Linear Modulation Schemes With Generalized Diversity Combining on Rayleigh Fading Channels With Noisy Channel Estimates , 2007, IEEE Transactions on Information Theory.

[14]  Iickho Song,et al.  Performance analysis of a coded OFDM system in time-varying multipath Rayleigh fading channels , 1999 .

[15]  Ramesh Annavajjala,et al.  BER analysis of QAM with transmit diversity in Rayleigh fading channels , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[16]  Lei Wan,et al.  BER performance of OFDM system over frequency nonselective fast Ricean fading channels , 2001, IEEE Communications Letters.