Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers (1994)
Pacific Grove, CA, USA
Oct. 31, 1994 to Nov. 2, 1994
R.D. Wesel , Inf. Syst. Lab., Stanford Univ., CA, USA
J.M. Cioffi , Inf. Syst. Lab., Stanford Univ., CA, USA
This paper provides upper and lower bounds on the information rates achievable with a minimum mean square error (MMSE) Tomlinson-Harishima precoder (THP) assuming ideal interleaving. We also give an exact formula for zero-forcing (ZF) THP achievable information rates. At high SNR, the performance of the MMSE-THP and the ZF-THP identically suffer only the 2.55 bit or 1.53 dB -shaping" loss from capacity. At low SNR, shaping loss is negligible, but the THP systems again do not achieve capacity, largely due to the receiver modulo operation (and interleaving in the MMSE case). In general, the MMSE-THP outperforms the ZF-THP at low SNR. We show these effects for an example ISI channel.<
channel capacity, intersymbol interference, decision feedback equalisers, least mean squares methods, encoding, interleaved codes, Gaussian channels
R. Wesel and J. Cioffi, "Precoding and the MMSE-DFE," Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers(ACSSC), Pacific Grove, CA, USA, 1995, pp. 1144-1148.