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A low-power two-digit multi-dimensional logarithmic number system filterbank architecture for a digital hearing aid. (English) Zbl 1102.94022
Summary: 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.

MSC:
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
94C05 Analytic circuit theory
93E11 Filtering in stochastic control theory
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