Coded Linear Precoded-OFDM versus COFDM : an asymptotic analysis for MMSE equalizers

In this paper, analytic expressions of upper bounds of the bit error probability provided by the MMSE receiver are derived for OFDM based systems when the number of carriers is large enough. Considering convolutive Forward Error Correcting schemes and QPSK constellations, it is shown that coded Linear Precoded OFDM (LP-OFDM) outperforms Coded OFDM (COFDM) if the input SNR is greater than a threshold independent of the code structure. A confidence interval for this threshold is derived. This theoretical result is believed to be quite useful since it provides tools for choosing between COFDM and coded LP-OFDM for a given SNR.

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

[2]  John G. Proakis,et al.  Digital Communications , 1983 .

[3]  J. Lindner,et al.  MC-CDMA and its relation to general multiuser/multisubchannel transmission systems , 1996, Proceedings of ISSSTA'95 International Symposium on Spread Spectrum Techniques and Applications.

[4]  Reinaldo A. Valenzuela,et al.  A comparison of the performance of linearly equalized single carrier and coded OFDM over frequency selective fading channels using the random coding technique , 1998, ICC '98. 1998 IEEE International Conference on Communications. Conference Record. Affiliated with SUPERCOMM'98 (Cat. No.98CH36220).

[5]  Edwin K. P. Chong,et al.  Output MAI distributions of linear MMSE multiuser receivers in DS-CDMA systems , 2001, IEEE Trans. Inf. Theory.

[6]  Georgios B. Giannakis,et al.  Linearly precoded or coded OFDM against wireless channel fades? , 2001, 2001 IEEE Third Workshop on Signal Processing Advances in Wireless Communications (SPAWC'01). Workshop Proceedings (Cat. No.01EX471).

[7]  Gregory W. Wornell.  esponse Precodi nication over Fading , 1996 .