Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Auditory-motivated Gammatone wavelet transform
Department of Electrical Engineering, Indian Institute of Science, Bangalore 560012, India.ORCID iD: 0000-0003-1285-8947
Indian Institute of Science Bangalore. (Department of Electrical Engineering)
Indian Institute of Science Bangalore. (Department of Electrical Engineering)
2014 (English)In: Signal Processing, ISSN 0165-1684, E-ISSN 1872-7557, Vol. 94, 608-619 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 94, 608-619 p.
Keyword [en]
Continuous wavelet transform, Gammatone function, Auditory wavelet, Vanishing moments, Singularity detection
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-131268DOI: 10.1016/j.sigpro.2013.07.029ISI: 000327363300063Scopus ID: 2-s2.0-84883194522OAI: oai:DiVA.org:kth-131268DiVA: diva2:655190
Note

QC 20140203

Available from: 2013-10-10 Created: 2013-10-10 Last updated: 2017-12-06Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Venkitarman, Arun
In the same journal
Signal Processing
Signal Processing

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 123 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf