Resource Allocation in ADSL Variable Length Per-Tone Equalizers

Pandey, Prabin Kumar; Moonen, Marc

doi:10.1109/tsp.2007.909382

Cited by 6 publications

(17 citation statements)

References 7 publications

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“…Due to the frequency selective nature of the DSL channel, using a constant length equalizer on all the tones is not efficient as it may unnecessarily increase the runtime complexity [5]. A general approach adopted here is to fix the (maximum) equalizer length to T and then to minimize the number of non-zero equalizer taps (and hence the run-time complexity) for each tone.…”

Section: Problem Formulationmentioning

confidence: 99%

“…the total number of used tones. This is intractable even for moderate values of L, M and T. In [5], it has been shown that for fixed transmit powers, (8) decouples over tones when formulated as a dual optimization problem, thus reducing the computational complexity. Here the dual problem formulation of (8) …”

Section: Problem Formulationmentioning

confidence: 99%

“…In [5], the sparsity pattern is restricted to combinations where only contiguous taps can be non-zero thus reducing the computational complexity from OðML2 T Þ to OðMLTÞ. This will be referred to as the contiguous tap selection (CTS) approach.…”

Section: Problem Formulationmentioning

confidence: 99%

“…This results in solving (12) and (6) once for each power level. Even though the equalizer coefficients are computed twice, for large T this has a similar computational complexity as the CTS approach of [5], which requires solving (6) T times for each power level. The computational complexity can be further reduced by solving (12) only once for the initial power level and then using the same sparsity pattern for all the other power levels.…”

Section: Sparse Approximation Based Equalizer Designmentioning

confidence: 99%

“…Therefore, using a constant length equalizer for all tones may unnecessarily increase the run-time complexity and correspond to a waste of system resources. For a given transmit power loading, an efficient algorithm to distribute a given equalizer tap budget over tones has been presented in [5]. This algorithm is based on a dual problem formulation and involves a per-tone exhaustive search over all possible equalizer lengths.…”

Section: Introductionmentioning

confidence: 99%

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Sparse approximation based resource allocation in DSL/DMT transceivers with per-tone equalization

2014

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a b s t r a c tPer-tone equalization has been proposed as an alternative to time domain equalization for DMT receivers in DSL modems. It optimizes the bit rate performance of the receiver as each tone can be equalized independently. It has also been shown that using variable length equalizers can significantly reduce the total number of equalizer taps and hence the run-time complexity, without compromising performance. For a given transmit power loading, it has been shown that the equalizer taps can be allocated optimally using a dual decomposition based approach with per-tone exhaustive searches over all possible equalizer lengths. However, a more general approach is needed when optimal transmit power allocation is also considered to maximize the overall bit rate, where in addition the per-tone exhaustive searches are replaced by a more efficient procedure. In this paper, a sparse approximation based resource allocation algorithm is presented to allocate equalizer taps and transmit power over tones and maximize the overall bit rate. This algorithm is shown to provide efficient allocations at a relatively low computational cost.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Sparse Approximation Based Equalizer Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sparse approximation based resource allocation in DSL/DMT transceivers with per-tone equalization

2014

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Sparse approximation based resource allocation in DMT transmitters with per-tone pulse shaping

Pandey

Moonen

Deneire³

2012

Signal Processing

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Joint Transmit Power and Filter Tap Allocation in DMT Transmitters with Per-Tone Pulse Shaping

Pandey

Moonen

Deneire³

2008

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference

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Per-tone pulse shaping has been proposed as an alternative to time domain spectral shaping for Discrete MultiTone (DMT) transmitters, e.g. VDSL modems. This enables the transmitter to use more tones without violating the Power Spectral Density (PSD) mask constraint for data transmission. The computational complexity of the per-tone pulse shaping and transmit power is evenly distributed over tones, however, resources (computational complexity and power) can be better exploited by using different filter lengths for different tones and by resorting to power loading. For a fixed pulse shaping filter length, the contribution of a particular tone to the stop band energy depends on the power allocated to the tone and on the distance of the tone from the band edges. The use of high order pulse shaping filters for the tones at the band edges (as well as the use of lower power) will reduce their contribution to the out of band PSD, whereas for the tones at the middle of the band these factors will have less effect on the out of band PSD. Therefore, the combination of both power loading and a variable length pulse shaping filter can be used to achieve a high data rate under resource and PSD constraints. In this paper we present an algorithm to optimally allocate the resources i.e. power and filter taps, using a dual problem formulation. This solves the problem of optimally distributing power and filter taps over tones for a given PSD mask constraint, with a relatively low complexity.

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Resource Allocation in ADSL Variable Length Per-Tone Equalizers

Cited by 6 publications

References 7 publications

Sparse approximation based resource allocation in DSL/DMT transceivers with per-tone equalization

Sparse approximation based resource allocation in DSL/DMT transceivers with per-tone equalization

Sparse approximation based resource allocation in DMT transmitters with per-tone pulse shaping

Joint Transmit Power and Filter Tap Allocation in DMT Transmitters with Per-Tone Pulse Shaping

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