Achievable rates for Tomlinson-Harashima precoding

Author

Wesel, Richard D. ; Cioffi, John M.

Author_Institution

Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA

Volume

44

Issue

2

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

824

Lastpage

831

Abstract

This article examines Tomlinson-Harashima precoding (1971, 1972) on discrete-time channels having intersymbol interference and additive white Gaussian noise. An exact expression for the maximum achievable information rate of zero-forcing (ZF) THP is derived as a function of the channel impulse response, the input power constraint, and the additive white Gaussian noise variance. Information rate bounds are provided for the minimum mean-square error (MMSE) THP. The performance of ZF-THP and MMSE-THP relative to each other and to channel capacity is explored in general and for some example channels. The importance of symbol rate to ZF-THP performance is demonstrated

Keywords

Gaussian channels; Gaussian noise; channel capacity; channel coding; discrete time systems; intersymbol interference; least mean squares methods; transient response; white noise; AWGN channel; AWGN variance; MMSE; Tomlinson-Harashima precoding; achievable rates; additive white Gaussian noise; channel capacity; channel coding; channel impulse response; discrete-time channels; exact expression; information rate bounds; input power constraint; intersymbol interference; maximum achievable information rate; minimum mean-square error; symbol rate; zero-forcing THP; AWGN; Additive white noise; Channel capacity; Filters; Information rates; Interference constraints; Intersymbol interference; Mutual information; Pulse modulation; Signal to noise ratio;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.661530

Filename

661530