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EURASIP Journal on Advances in Signal Processing
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A Low-Power Two-Digit Multi-dimensional Logarithmic Number System Filterbank Architecture for a Digital Hearing Aid

EURASIP Journal on Advances in Signal Processing volume 2005, Article number: 326504 (2005) Cite this article

Abstract

This paper addresses the implementation of a filterbank for digital hearing aids using a multi-dimensional logarithmic number system (MDLNS). The MDLNS, which has similar properties to the classical logarithmic number system (LNS), provides more degrees of freedom than the LNS by virtue of having two, or more, orthogonal bases and the ability to use multiple MDLNS components or digits. The logarithmic properties of the MDLNS also allow for reduced complexity multiplication and large dynamic range, and a multiple-digit MDLNS provides a considerable reduction in hardware complexity compared to a conventional LNS approach. We discuss an improved design for a two-digit 2D MDLNS filterbank implementation which reduces power and area by over two times compared to the original design.

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Authors and Affiliations

  1. Research Centre for Integrated Microsystems (RCIM), University of Windsor, ON, N9B 3P4, Canada

    Roberto Muscedere & William Miller

  2. Advanced Technology Information Processing Systems (ATIPS) Laboratory, University of Calgary, AB, T2N 1N4, Canada

    Vassil Dimitrov & Graham Jullien

Authors
  1. Roberto Muscedere
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  2. Vassil Dimitrov
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  3. Graham Jullien
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  4. William Miller
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Corresponding author

Correspondence to Roberto Muscedere.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Muscedere, R., Dimitrov, V., Jullien, G. et al. A Low-Power Two-Digit Multi-dimensional Logarithmic Number System Filterbank Architecture for a Digital Hearing Aid. EURASIP J. Adv. Signal Process. 2005, 326504 (2005). https://doi.org/10.1155/ASP.2005.3015

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  • DOI: https://doi.org/10.1155/ASP.2005.3015

Keywords and phrases

  • logarithmic number system
  • double-base number system
  • multi-dimensional logarithmic number system
  • filterbank
  • low power
  • hearing aids or instruments