Publication Data
Practical Gammatone-Like Filters for Auditory Modeling
Abstract: This paper deals with continuous-time filter transfer
functions that resemble tuning curves at particular set of places on the basilar
membrane of the biological cochlea and that are suitable for practical VLSI
implementations. The resulting filters can be used in a filterbank architecture to
realize cochlea implants or auditory processors of increased biorealism. To put the
reader into context, the paper starts with a short review on the gammatone filter and
then exposes two of its variants, namely, the differentiated all-pole gammatone filter
(DAPGF) and one-zero gammatone filter (OZGF), filter responses that provide a robust
foundation for modeling cochlea transfer functions. The DAPGF and OZGF responses are
attractive because they exhibit certain characteristics suitable for modeling a variety
of auditory data: level-dependent gain, linear tail for frequencies well below the
center frequency, asymmetry, and so forth. In addition, their form suggests their
implementation by means of cascades of N identical two-pole systems which render them
as excellent candidates for efficient analog or digital VLSI realizations. We provide
results that shed light on their char- acteristics and attributes and which can also
serve as “design curves” for fitting these responses to frequency-domain physiological
data. The DAPGF and OZGF responses are essentially a “missing link” between
physiological, electrical, and mechanical models for auditory filtering.
