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Cascades of two-pole–two-zero asymmetric resonators are good models of peripheral auditory function
Abstract
A cascade of two-pole–two-zero filter stages is a good model of the auditory periphery in two distinct ways. First, in the form of the pole–zero filter cascade, it acts as an auditory filter model that provides an excellent fit to data on human detection of tones in masking noise, with fewer fitting parameters than previously reported filter models such as the roex and gammachirp models. Second, when extended to the form of the cascade of asymmetric resonators with fast-acting compression, it serves as an efficient front-end filterbank for machine-hearing applications, including dynamic nonlinear effects such as fast wide-dynamic-range compression. In their underlying linear approximations, these filters are described by their poles and zeros, that is, by rational transfer functions, which makes them simple to implement in analog or digital domains. Other advantages in these models derive from the close connection of the filter-cascade architecture to wave propagation in the cochlea. These models also reflect the automatic-gain-control function of the auditory system and can maintain approximately constant impulse-response zero-crossing times as the level-dependent parameters change.
© 2011 Acoustical Society of America
Received 28 February 2011
Revised 10 October 2011
Accepted 11 October 2011
Published online 15 December 2011
Article outline:
I. INTRODUCTION
II. AUDITORY FILTER MODELS
A. Time-varying and nonlinear auditory filters
B. Level dependence via output-level feedback
C. Nonlinear frequency scales
III. FILTER CASCADES
A. How filter cascades work
B. Filter-cascade stages with zeros
C. The PZFC/CAR-FAC architecture
D. PZFC/CAR-FAC transfer functions
E. CAR-FAC implementation
IV. FITTING FILTERS TO MASKING DATA
A. Human notched-noise masking data
B. Nonlinear filter fitting approach
C. Fitted psychoacoustic filter shapes
D. PZFC and OZGF provide good fits with few parameters
V. IMPULSE RESPONSES AND PHYSIOLOGICAL DATA
VI. CONCLUSION
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/content/asa/journal/jasa/130/6/10.1121/1.3658470
2011-12-15
2016-08-29
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