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A Dual-Tree Rational-Dilation Complex Wavelet Transform

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2 Author(s)
─░lker Bayram ; ¿stanbul Teknik Üniversitesi, Elektronik ve Haberle¿me Mühendislig¿i Bölümü, Maslak, Turkey ; Ivan W. Selesnick

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.

Published in:

IEEE Transactions on Signal Processing  (Volume:59 ,  Issue: 12 )