Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:D3L-B

Session:

Number:903

Turning the Hopf Cochlea into a Listener

Florian Gomez,  Ruedi Stoop,  

pp.903-906

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.903

PDF download (408.6KB)

The Hopf Cochlea is a hard- and software implemented model of the mammalian cochlea that is constructed from a series of feedforward coupled nonlinear Hopf system amplifier sections. All salient nonlinear aspects of hearing can be traced back to the physical properties of the Hopf oscillators. At each location along the cochlea, the amplification strength is effectively governed by a single real parameter characterizing the distance of the Hopf oscillator from the Hopf-bifurcation point. Using these parameters, given a mixture of input signals (e.g., a set of musical instruments) it should be possible to tune the cochlea towards a single sound component. Introducing an autocorrelation-based tuning measure, we demonstrate the tunability of the Hopf Cochlea on recorded real-life instruments of different timbres and pitches. Despite the strongly nonlinear and therefore interaction-prone nature of the device, strong and simple tuning patterns permit an easy tuning to sounds of varying pitch.

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