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Type: Journal article
Title: A Hopf resonator for 2-D artificial cochlea: piecewise linear model and digital implementation
Author: Nouri, M.
Ahmadi, A.
Alirezaee, S.
Karimi, G.
Ahmadi, M.
Abbott, D.
Citation: IEEE Transactions on Circuits and Systems I, 2015; 62(4):1117-1125
Publisher: IEEE
Issue Date: 2015
ISSN: 1057-7122
Statement of
Moslem Nouri, Arash Ahmadi, Shahpour Alirezaee, Gholamreza Karimi, Majid Ahmadi and Derek Abbott
Abstract: The mammalian auditory system is able to process sounds over an extraordinarily large dynamic range, which makes it possible to extract information from very small changes both in sound amplitude and frequency. Evidently, response of the cochlea is essentially nonlinear, where it operates within Hopf bifurcation boundaries to maximize tuning and amplification. This paper presents a set of piecewise linear (PWL) and multiplierless piecewise linear (MLPWL1 and MLPWL2) active cochlear models, which mimic a range of behaviors, similar to the biological cochlea. These proposed models show similar dynamical characteristics of the Hopf equation for the active nonlinear artificial cochlea. Accordingly, a compact model structure is proposed upon which a 2-D cochlea is developed. The proposed models are investigated, in terms of their digital realization and hardware cost, targeting large scale implementation. Hardware synthesis and physical implementation on a FPGA show that the proposed models can reproduce precise active cochlea behaviors with higher performance and considerably lower computational costs in comparison with the original model. Results indicate that the MLPWL1 model has a lower computational overhead, precision, and hardware cost, while the PWL model has a higher precision and dynamically tracks the original model. On the other hand, the MLPWL2 model outperforms the others in terms of accuracy, dynamical tracking of the original model and implementation cost. The gain variations of the original, PWL, MLPWL1, and MLPWL2 models are 230, 100, 105, and 230 dB, respectively. The mean normalized root mean square errors (NRMSEs) of the PWL, MLPWL1, and MLPWL2 models are 0.11%, 11.97%, and 0.34%, respectively, as compared to the original cochlear model.
Keywords: Active cochlea; basilar membrane (BM); Hopf bifurcation
Rights: © 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
RMID: 0030027670
DOI: 10.1109/TCSI.2015.2390555
Appears in Collections:Electrical and Electronic Engineering publications

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