Equalization for discrete multitone transceivers to maximize bit rate

Güner Arslan, Brian L. Evans, Sayfe Kiaei

Research output: Contribution to journalArticle

183 Citations (Scopus)

Abstract

In a discrete multitone receiver, a time-domain equalizer (TEQ) reduces intersymbol interference (ISI) by shortening the effective duration of the channel impulse response. Current TEQ design methods such as minimum mean-squared error (MMSE), maximum shortening SNR (MSSNR), and maximum geometric SNR (MGSNR) do not directly maximize bit rate. In this paper, we develop two TEQ design methods to maximize bit rate. First, we partition an equalized multicarrier channel into its equivalent signal, noise, and ISI paths to develop a new subchannel SNR definition. Then, we derive a nonlinear function of TEQ taps that measures hit rate, which the proposed maximum bit rate (MBR) method optimizes. We also propose a minimum-ISI method that generalizes the MSSNR method by weighting the ISI in the frequency domain to obtain higher performance. The minimum-ISI method is amenable to real-time implementation on a fixed-point digital signal processor. Based on simulations using eight different carrier-serving-area loop channels, 1) the proposed methods yield higher bit rates than MMSE, MGSNR, and MSSNR methods; 2) the proposed methods give three-tap TEQs with higher bit rates than 17-tap MMSE, MGSNR, and MSSNR TEQs; 3) the proposed MBR method achieves the channel capacity (as computed by the matched filter bound using the proposed subchannel SNR model) with a five-tap TEQ; and 4) the proposed minimum-ISI method achieves the bit rate of the optimal MBR method.

Original languageEnglish (US)
Pages (from-to)3123-3135
Number of pages13
JournalIEEE Transactions on Signal Processing
Volume49
Issue number12
DOIs
StatePublished - Dec 2001

Fingerprint

Transceivers
Intersymbol interference
Equalizers
Matched filters
Channel capacity
Digital signal processors
Impulse response

Keywords

  • Channel shortening
  • FIR filter design
  • Maximum bit rate equalizer
  • Minimum intersymbol interference equalizer
  • Time domain equalization

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Equalization for discrete multitone transceivers to maximize bit rate. / Arslan, Güner; Evans, Brian L.; Kiaei, Sayfe.

In: IEEE Transactions on Signal Processing, Vol. 49, No. 12, 12.2001, p. 3123-3135.

Research output: Contribution to journalArticle

Arslan, Güner ; Evans, Brian L. ; Kiaei, Sayfe. / Equalization for discrete multitone transceivers to maximize bit rate. In: IEEE Transactions on Signal Processing. 2001 ; Vol. 49, No. 12. pp. 3123-3135.
@article{acd04450d26740caa0da463c4e02419f,
title = "Equalization for discrete multitone transceivers to maximize bit rate",
abstract = "In a discrete multitone receiver, a time-domain equalizer (TEQ) reduces intersymbol interference (ISI) by shortening the effective duration of the channel impulse response. Current TEQ design methods such as minimum mean-squared error (MMSE), maximum shortening SNR (MSSNR), and maximum geometric SNR (MGSNR) do not directly maximize bit rate. In this paper, we develop two TEQ design methods to maximize bit rate. First, we partition an equalized multicarrier channel into its equivalent signal, noise, and ISI paths to develop a new subchannel SNR definition. Then, we derive a nonlinear function of TEQ taps that measures hit rate, which the proposed maximum bit rate (MBR) method optimizes. We also propose a minimum-ISI method that generalizes the MSSNR method by weighting the ISI in the frequency domain to obtain higher performance. The minimum-ISI method is amenable to real-time implementation on a fixed-point digital signal processor. Based on simulations using eight different carrier-serving-area loop channels, 1) the proposed methods yield higher bit rates than MMSE, MGSNR, and MSSNR methods; 2) the proposed methods give three-tap TEQs with higher bit rates than 17-tap MMSE, MGSNR, and MSSNR TEQs; 3) the proposed MBR method achieves the channel capacity (as computed by the matched filter bound using the proposed subchannel SNR model) with a five-tap TEQ; and 4) the proposed minimum-ISI method achieves the bit rate of the optimal MBR method.",
keywords = "Channel shortening, FIR filter design, Maximum bit rate equalizer, Minimum intersymbol interference equalizer, Time domain equalization",
author = "G{\"u}ner Arslan and Evans, {Brian L.} and Sayfe Kiaei",
year = "2001",
month = "12",
doi = "10.1109/78.969519",
language = "English (US)",
volume = "49",
pages = "3123--3135",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "12",

}

TY - JOUR

T1 - Equalization for discrete multitone transceivers to maximize bit rate

AU - Arslan, Güner

AU - Evans, Brian L.

AU - Kiaei, Sayfe

PY - 2001/12

Y1 - 2001/12

N2 - In a discrete multitone receiver, a time-domain equalizer (TEQ) reduces intersymbol interference (ISI) by shortening the effective duration of the channel impulse response. Current TEQ design methods such as minimum mean-squared error (MMSE), maximum shortening SNR (MSSNR), and maximum geometric SNR (MGSNR) do not directly maximize bit rate. In this paper, we develop two TEQ design methods to maximize bit rate. First, we partition an equalized multicarrier channel into its equivalent signal, noise, and ISI paths to develop a new subchannel SNR definition. Then, we derive a nonlinear function of TEQ taps that measures hit rate, which the proposed maximum bit rate (MBR) method optimizes. We also propose a minimum-ISI method that generalizes the MSSNR method by weighting the ISI in the frequency domain to obtain higher performance. The minimum-ISI method is amenable to real-time implementation on a fixed-point digital signal processor. Based on simulations using eight different carrier-serving-area loop channels, 1) the proposed methods yield higher bit rates than MMSE, MGSNR, and MSSNR methods; 2) the proposed methods give three-tap TEQs with higher bit rates than 17-tap MMSE, MGSNR, and MSSNR TEQs; 3) the proposed MBR method achieves the channel capacity (as computed by the matched filter bound using the proposed subchannel SNR model) with a five-tap TEQ; and 4) the proposed minimum-ISI method achieves the bit rate of the optimal MBR method.

AB - In a discrete multitone receiver, a time-domain equalizer (TEQ) reduces intersymbol interference (ISI) by shortening the effective duration of the channel impulse response. Current TEQ design methods such as minimum mean-squared error (MMSE), maximum shortening SNR (MSSNR), and maximum geometric SNR (MGSNR) do not directly maximize bit rate. In this paper, we develop two TEQ design methods to maximize bit rate. First, we partition an equalized multicarrier channel into its equivalent signal, noise, and ISI paths to develop a new subchannel SNR definition. Then, we derive a nonlinear function of TEQ taps that measures hit rate, which the proposed maximum bit rate (MBR) method optimizes. We also propose a minimum-ISI method that generalizes the MSSNR method by weighting the ISI in the frequency domain to obtain higher performance. The minimum-ISI method is amenable to real-time implementation on a fixed-point digital signal processor. Based on simulations using eight different carrier-serving-area loop channels, 1) the proposed methods yield higher bit rates than MMSE, MGSNR, and MSSNR methods; 2) the proposed methods give three-tap TEQs with higher bit rates than 17-tap MMSE, MGSNR, and MSSNR TEQs; 3) the proposed MBR method achieves the channel capacity (as computed by the matched filter bound using the proposed subchannel SNR model) with a five-tap TEQ; and 4) the proposed minimum-ISI method achieves the bit rate of the optimal MBR method.

KW - Channel shortening

KW - FIR filter design

KW - Maximum bit rate equalizer

KW - Minimum intersymbol interference equalizer

KW - Time domain equalization

UR - http://www.scopus.com/inward/record.url?scp=0035674375&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035674375&partnerID=8YFLogxK

U2 - 10.1109/78.969519

DO - 10.1109/78.969519

M3 - Article

AN - SCOPUS:0035674375

VL - 49

SP - 3123

EP - 3135

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 12

ER -