A dual-tree rational-dilation complex wavelet transform

Ilker Bayram, Ivan Selesnick

Research output: Contribution to journalArticle

Abstract

In this correspondence, we introduce a dual-tree rational-dilation complex wavelet transform for oscillatory signal processing. Like the short-time Fourier transform and the dyadic dual-tree complex wavelet transform, the introduced transform employs quadrature pairs of time-frequency atoms which allow to work with the analytic signal. The introduced wavelet transform is a constant-$Q$ transform, a property lacked by the short-time Fourier transform, which in turn makes the introduced transform more suitable for models that depend on scale. Also, the frequency resolution can be as high as desired, a property lacked by the dyadic dual-tree complex wavelet transform, which makes the introduced transform more suitable for processing oscillatory signals like speech, audio and various biomedical signals.

Original languageEnglish (US)
Article number6004841
Pages (from-to)6251-6256
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume59
Issue number12
DOIs
StatePublished - Dec 2011

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Wavelet transforms
Fourier transforms
Signal processing
Trees (mathematics)
Atoms

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

A dual-tree rational-dilation complex wavelet transform. / Bayram, Ilker; Selesnick, Ivan.

In: IEEE Transactions on Signal Processing, Vol. 59, No. 12, 6004841, 12.2011, p. 6251-6256.

Research output: Contribution to journalArticle

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