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Adaptive minimum symbol-error-rate decision feedback equalization for multilevel pulse-amplitude modulation

Adaptive minimum symbol-error-rate decision feedback equalization for multilevel pulse-amplitude modulation
Adaptive minimum symbol-error-rate decision feedback equalization for multilevel pulse-amplitude modulation
The design of decision feedback equalizers (DFEs) is typically based on the minimum mean square error (MMSE) principle, as this leads to effective adaptive implementation in the form of the least mean square algorithm. It is well-known, however, that in certain situations the MMSE solution can be distinctly inferior to the optimal minimum symbol error rate (MSER) solution. We consider the MSER design for multi-level pulse-amplitude modulation. Block-data adaptive implementation of the theoretical MSER DFE solution is developed based on the Parzen window estimate of probability density function. Furthermore, a sample-by-sample adaptive MSER algorithm, called the least symbol error rate (LSER), is derived for adaptive equalization application. The proposed LSER algorithm has a complexity that increases linearly with the equalizer length. Computer simulation is employed to evaluate the proposed alternative MSER design for equalization application with multi-level signalling schemes.
1053-587X
2092-2101
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Mulgrew, B.
95a3fbda-7de2-4583-b1f2-0a54a69b414a
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. (2004) Adaptive minimum symbol-error-rate decision feedback equalization for multilevel pulse-amplitude modulation. IEEE Transactions on Signal Processing, 52 (7), 2092-2101.

Record type: Article

Abstract

The design of decision feedback equalizers (DFEs) is typically based on the minimum mean square error (MMSE) principle, as this leads to effective adaptive implementation in the form of the least mean square algorithm. It is well-known, however, that in certain situations the MMSE solution can be distinctly inferior to the optimal minimum symbol error rate (MSER) solution. We consider the MSER design for multi-level pulse-amplitude modulation. Block-data adaptive implementation of the theoretical MSER DFE solution is developed based on the Parzen window estimate of probability density function. Furthermore, a sample-by-sample adaptive MSER algorithm, called the least symbol error rate (LSER), is derived for adaptive equalization application. The proposed LSER algorithm has a complexity that increases linearly with the equalizer length. Computer simulation is employed to evaluate the proposed alternative MSER design for equalization application with multi-level signalling schemes.

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Published date: July 2004
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 259491
URI: https://eprints.soton.ac.uk/id/eprint/259491
ISSN: 1053-587X
PURE UUID: 73fcc880-f30c-424b-b935-cd9358159035
ORCID for L. Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 28 Jun 2004
Last modified: 15 Aug 2019 00:57

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