Minimum BER block precoders for zero-forcing equalization

Yanwu Ding; Timothy N. Davidson; Zhi Quan Luo; Kon Max Wong

doi:10.1109/TSP.2003.815387

Minimum BER block precoders for zero-forcing equalization

Yanwu Ding, Timothy N. Davidson, Zhi Quan Luo, Kon Max Wong

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

161 Scopus citations

Abstract

In this paper, we determine the linear precoder that minimizes the bit error rate (BER) at moderate-to-high signal-to-noise ratios (SNRs) for block transmission systems with zero-forcing (ZF) equalization and threshold detection. The design is developed for the two standard schemes for eliminating inter-block interference, viz, zero padding (ZP) and cyclic prefix (CP). We show that both the ZP minimum BER precoder and the CP minimum BER precoder provide substantially lower error rates than standard block transmission schemes, such as orthogonal frequency division multiplexing (OFDM). The corresponding SNR gains can be on the order of several decibels. We also show that the CP minimum BER precoder can be obtained by a two-stage modification of the water-filling discrete multitone modulation (DMT) scheme in which the diagonal water-filling power loading is replaced by a full matrix consisting of a diagonal minimum mean square error power loading matrix post multiplied by a discrete Fourier transform (DFT) matrix.

Original language	English (US)
Pages (from-to)	2410-2423
Number of pages	14
Journal	IEEE Transactions on Signal Processing
Volume	51
Issue number	9
DOIs	https://doi.org/10.1109/TSP.2003.815387
State	Published - Sep 2003

Bibliographical note

Funding Information:
Manuscript received April 12, 2002; revised February 21, 2003. This work was supported in part by the National Science and Engineering Research Council of Canada. The work of the third author is also supported by the Canada Research Chairs Program. The associate editor coordinating the review of this paper and approving it for publication was Dr. Helmut Boelcskei.

Keywords

Block precoding
Cyclic prefix
Discrete multitone modulation (DMT)
Minimum bit error rate
Orthogonal frequency division multiplexing (OFDM)

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10.1109/TSP.2003.815387

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abstract = "In this paper, we determine the linear precoder that minimizes the bit error rate (BER) at moderate-to-high signal-to-noise ratios (SNRs) for block transmission systems with zero-forcing (ZF) equalization and threshold detection. The design is developed for the two standard schemes for eliminating inter-block interference, viz, zero padding (ZP) and cyclic prefix (CP). We show that both the ZP minimum BER precoder and the CP minimum BER precoder provide substantially lower error rates than standard block transmission schemes, such as orthogonal frequency division multiplexing (OFDM). The corresponding SNR gains can be on the order of several decibels. We also show that the CP minimum BER precoder can be obtained by a two-stage modification of the water-filling discrete multitone modulation (DMT) scheme in which the diagonal water-filling power loading is replaced by a full matrix consisting of a diagonal minimum mean square error power loading matrix post multiplied by a discrete Fourier transform (DFT) matrix.",

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author = "Yanwu Ding and Davidson, {Timothy N.} and Luo, {Zhi Quan} and Wong, {Kon Max}",

note = "Funding Information: Manuscript received April 12, 2002; revised February 21, 2003. This work was supported in part by the National Science and Engineering Research Council of Canada. The work of the third author is also supported by the Canada Research Chairs Program. The associate editor coordinating the review of this paper and approving it for publication was Dr. Helmut Boelcskei.",

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AU - Davidson, Timothy N.

AU - Luo, Zhi Quan

AU - Wong, Kon Max

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PY - 2003/9

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N2 - In this paper, we determine the linear precoder that minimizes the bit error rate (BER) at moderate-to-high signal-to-noise ratios (SNRs) for block transmission systems with zero-forcing (ZF) equalization and threshold detection. The design is developed for the two standard schemes for eliminating inter-block interference, viz, zero padding (ZP) and cyclic prefix (CP). We show that both the ZP minimum BER precoder and the CP minimum BER precoder provide substantially lower error rates than standard block transmission schemes, such as orthogonal frequency division multiplexing (OFDM). The corresponding SNR gains can be on the order of several decibels. We also show that the CP minimum BER precoder can be obtained by a two-stage modification of the water-filling discrete multitone modulation (DMT) scheme in which the diagonal water-filling power loading is replaced by a full matrix consisting of a diagonal minimum mean square error power loading matrix post multiplied by a discrete Fourier transform (DFT) matrix.

AB - In this paper, we determine the linear precoder that minimizes the bit error rate (BER) at moderate-to-high signal-to-noise ratios (SNRs) for block transmission systems with zero-forcing (ZF) equalization and threshold detection. The design is developed for the two standard schemes for eliminating inter-block interference, viz, zero padding (ZP) and cyclic prefix (CP). We show that both the ZP minimum BER precoder and the CP minimum BER precoder provide substantially lower error rates than standard block transmission schemes, such as orthogonal frequency division multiplexing (OFDM). The corresponding SNR gains can be on the order of several decibels. We also show that the CP minimum BER precoder can be obtained by a two-stage modification of the water-filling discrete multitone modulation (DMT) scheme in which the diagonal water-filling power loading is replaced by a full matrix consisting of a diagonal minimum mean square error power loading matrix post multiplied by a discrete Fourier transform (DFT) matrix.

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KW - Cyclic prefix

KW - Discrete multitone modulation (DMT)

KW - Minimum bit error rate

KW - Orthogonal frequency division multiplexing (OFDM)

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Minimum BER block precoders for zero-forcing equalization

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