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Open Access

A Low-Power Two-Digit Multi-dimensional Logarithmic Number System Filterbank Architecture for a Digital Hearing Aid

  • Roberto Muscedere1Email author,
  • Vassil Dimitrov2,
  • Graham Jullien2 and
  • William Miller1
EURASIP Journal on Advances in Signal Processing20052005:326504

Received: 30 April 2004

Published: 10 November 2005


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.

Keywords and phrases

logarithmic number systemdouble-base number systemmulti-dimensional logarithmic number systemfilterbanklow powerhearing aids or instruments

Authors’ Affiliations

Research Centre for Integrated Microsystems (RCIM), University of Windsor, Canada
Advanced Technology Information Processing Systems (ATIPS) Laboratory, University of Calgary, Canada


© Muscedere et al. 2005