Decision-Feedback Equalisation Using Multiple-Hyperplane Partitioning for Detecting ISI-Corrupted $M$-ary PAM Signals
Decision-Feedback Equalisation Using Multiple-Hyperplane Partitioning for Detecting ISI-Corrupted $M$-ary PAM Signals
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.
760-764
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Mulgrew, B.
95a3fbda-7de2-4583-b1f2-0a54a69b414a
May 2001
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Mulgrew, B.
95a3fbda-7de2-4583-b1f2-0a54a69b414a
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), .
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.
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49tcomm05chen.pdf
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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
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Date deposited: 04 Mar 2004
Last modified: 18 Mar 2024 02:33
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Author:
S. Chen
Author:
L. Hanzo
Author:
B. Mulgrew
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