Auditory-motivated Gammatone wavelet transform

Venkitaraman, Arun and Adiga, Aniruddha and Seelamantula, Chandra Sekhar (2014) Auditory-motivated Gammatone wavelet transform. In: Signal Processing, 94 . pp. 608-619.

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Abstract

The ability of the continuous wavelet transform (CWT) to provide good time and frequency localization has made it a popular tool in time-frequency analysis of signals. Wavelets exhibit constant-Q property, which is also possessed by the basilar membrane filters in the peripheral auditory system. The basilar membrane filters or auditory filters are often modeled by a Gammatone function, which provides a good approximation to experimentally determined responses. The filterbank derived from these filters is referred to as a Gammatone filterbank. In general, wavelet analysis can be likened to a filterbank analysis and hence the interesting link between standard wavelet analysis and Gammatone filterbank. However, the Gammatone function does not exactly qualify as a wavelet because its time average is not zero. We show how bona fide wavelets can be constructed out of Gammatone functions. We analyze properties such as admissibility, time-bandwidth product, vanishing moments, which are particularly relevant in the context of wavelets. We also show how the proposed auditory wavelets are produced as the impulse response of a linear, shift-invariant system governed by a linear differential equation with constant coefficients. We propose analog circuit implementations of the proposed CWT. We also show how the Gammatone-derived wavelets can be used for singularity detection and time-frequency analysis of transient signals. (C) 2013 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	Signal Processing
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Continuous Wavelet Transform; Gammatone Function; Auditory Wavelet; Vanishing Moments; Singularity Detection
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	28 Dec 2013 06:21
Last Modified:	28 Dec 2013 06:21
URI:	http://eprints.iisc.ac.in/id/eprint/48048

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