Optimum channel shortening for discrete multitone transceivers

Arslan, G.; Evans, Brian L.; Kiaei, S.

doi:10.1109/icassp.2000.861156

Cited by 18 publications

(13 citation statements)

References 4 publications

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“…A generalization of the MSSNR method was given in [35] and [68], referred to as the minimum ISI (min-ISI) method. The Min-ISI design can also be thought of as an approximation of the MBR method of Section III-D.…”

Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

“…However, according to [68], the matched filter bound on the SNR is obtained when each sub-carrier ISI term of (20) is forced to zero. As a consequence, they propose to minimize a weighted sum of the sub-channel ISI terms.…”

Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

“…Note that DH is a zero-padded version of H wall . Comparing (68) and (69) to (81) and (82), the residual ISI is now shaped in the frequency domain. The min-ISI method [35] is a generalization of the MSSNR method [31], since both methods would be equivalent if the SNR were constant over all sub-channels and if all sub-channels were used.…”

Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

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Unification and evaluation of equalization structures and design algorithms for discrete multitone modulation systems

Martin

Vanbleu

Ding³

et al. 2005

IEEE Trans. Signal Process.

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Abstract-To ease equalization in a multicarrier system, a cyclic prefix (CP) is typically inserted between successive symbols. When the channel order exceeds the CP length, equalization can be accomplished via a time-domain equalizer (TEQ), which is a finite impulse response (FIR) filter. The TEQ is placed in cascade with the channel to produce an effective shortened impulse response. Alternatively, a bank of equalizers can remove the interference tone-by-tone. This paper presents a unified treatment of equalizer designs for multicarrier receivers, with an emphasis on discrete multitone systems. It is shown that almost all equalizer designs share a common mathematical framework based on the maximization of a product of generalized Rayleigh quotients. This framework is used to give an overview of existing designs (including an extensive literature survey), to apply a unified notation, and to present various common strategies to obtain a solution. Moreover, the unification emphasizes the differences between the methods, enabling a comparison of their advantages and disadvantages. In addition, 16 different equalizer structures and design procedures are compared in terms of computational complexity and achievable bit rate using synthetic and measured data.

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Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

Section: Minimum Intersymbol Interference (Min-isi)mentioning

confidence: 99%

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Unification and evaluation of equalization structures and design algorithms for discrete multitone modulation systems

Martin

Vanbleu

Ding³

et al. 2005

IEEE Trans. Signal Process.

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“…Furthermore, in the literature, most of the supervised channel-shortening criteria formulations, such as MSSNR [10], MGSNR [11], min-ISI [12], MBR [13] and SINR-max [14], are mainly based on the combined channel-plusequalizer IR expression and their optimum TEQs which are perceived as solutions of algebra linear equations. However, when lattice structure is put into service, all of these criteria deal with non-linear formulation in terms of lattice TEQ reflection coefficients, whereas the criteria which are based on lattice filter output signal present linear formulation in terms of reflection coefficients.…”

Section: Introductionmentioning

confidence: 99%

Lattice implementation of adaptive channel shortening in multicarrier transmission over IIR channels

Salem

Cherif

Besbes

et al. 2013

EURASIP J. Adv. Signal Process.

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Time-domain equalization is crucial in reducing channel dispersion and canceling interference in multicarrier systems. The equalizer is a finite impulse response (FIR) filter with the purpose that the delay spread of the combined channel-plus-equalizer IR is not longer than the cyclic prefix length. In this paper, a specific framework of long FIR channel-shortening problem is studied. In fact, approximated by a stable pole-zero model, we show that the channel transfer function poles introduce interference. Hence, to cancel bad poles, we propose the use of lattice structure to implement the channel shortener which places their zeros very close to critical channel poles and cancels them out. For low complexity implementation, we adopt adaptive algorithms to design the lattice channel shorteners. This paper analyzes the lattice structure performances of two blind adaptive channel shorteners: sum-squared autocorrelation minimization and multicarrier equalization by restoration of redundancy algorithms. The proposed implementation performances are given in terms of bit rate, and the simulation results are studied in the context of asymmetric digital subscriber line system.

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“…Channel shortening can be performed based on various criteria [15]- [17]. Martin et al [15] provided a common framework for different types of channel shortening approaches which include those based on the following criteria: minimum mean-square error (MMSE) [13], [18], [19], and [20], maximum shortening signal-to-noise ratio (MSSNR) [21], minimum ISI (min-ISI) [22], [23], and [16], together with frequency domain methods such as per-tone-equalizer (PTEQ) [24] and filter-bank equalizer (TEQFB). Maximum geometric SNR (MGSNR) [14], maximum bit rate (MBR) [23] and [16], and maximum data rate (MDR) [17] are also other possible criteria for channel shortening filter design.…”

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confidence: 99%