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# Decision-Feedback Equalisation Using Multiple-Hyperplane Partitioning for Detecting ISI-Corrupted $M$-ary PAM Signals

Chen, S., Hanzo, L. and Mulgrew, B. (2001) Decision-Feedback Equalisation Using Multiple-Hyperplane Partitioning for Detecting ISI-Corrupted $M$-ary PAM Signals IEEE Transactions on Communications, 49, (5), pp. 760-764.

Record type: Article

## Abstract

A novel decision feedback equaliser (DFE) scheme is derived based on multiple-hyperplane partitioning of signal space for detecting $M$-ary PAM symbols transmitted through an intersymbol interference (ISI) and noisy channel. The proposed scheme is based on the observation that the optimal Bayesian decision boundary separating any two neighbouring signal classes is asymptotically piecewise linear and consists of several hyperplanes, when the signal to noise ratio (SNR) tends to infinity. An algorithm is developed to determine these hyperplanes, which are then used to partition the observation signal space. The resulting detector can closely approximate the optimal Bayesian detector and, in the asymptotic case of large SNR, achieves the full Bayesian DFE performance, at an advantage of considerably reduced detector complexity. Index Terms—Asymptotic decision boundary, Bayesian decision-feedback equalizer, multiple-hyperplane detector, signal space partitioning.

PDF 49tcomm05chen.pdf - Other
Postscript hypdetS.ps - Other

Published date: May 2001
Additional Information: submitted for publication on 8 March 2000, revised on 10 August 2000, and accepted on 6 Dec. 2000
Organisations: Southampton Wireless Group

## Identifiers

Local EPrints ID: 252732
URI: http://eprints.soton.ac.uk/id/eprint/252732
PURE UUID: 6003b16a-ed96-426d-98ae-841fcdcb23ee

## Catalogue record

Date deposited: 04 Mar 2004

## Contributors

Author: S. Chen
Author: L. Hanzo
Author: B. Mulgrew