Precoding and the MMSE-DFE

Author

Wesel, Richard D. ; Cioffi, John M.

Author_Institution

Inf. Syst. Lab., Stanford Univ., CA, USA

Volume

2

fYear

1994

fDate

31 Oct-2 Nov 1994

Firstpage

1144

Abstract

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

Keywords

Gaussian channels; channel capacity; decision feedback equalisers; encoding; interleaved codes; intersymbol interference; least mean squares methods; AWGN channel; ISI channel; MMSE-DFE; SNR; Tomlinson-Harishima precoder; ideal interleaving; information rates; lower bounds; minimum mean square error; receiver modulo operation; shaping loss; upper bounds; zero-forcing THP; AWGN channels; Channel capacity; Decision feedback equalizers; Filters; Information rates; Information systems; Intersymbol interference; Laboratories; Mean square error methods; Transmitters;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-6405-3

Type

conf

DOI

10.1109/ACSSC.1994.471638

Filename

471638