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New dimensions in wavelet analysis

Richard G. Baraniuk, Douglas L. Jones

Open publisher page 14 citations

Abstract

A new class of signal analysis tools that generalizes the popular wavelet and short-time Fourier transforms is introduced. The class allows skews and rotations of the analyzing wavelet in the time-frequency plane, in addition to the time and frequency translations and scalings used by conventional transforms. In addition to providing a unifying framework for studying existing time-frequency representations, the general class provides a systematic method for designing new representations with properties useful for certain types of signals.>

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What this paper is about

A new class of signal analysis tools that generalizes the popular wavelet and short-time Fourier transforms is introduced. The class allows skews and rotations of the analyzing wavelet in the time-frequency plane, in addition to the time and frequency translations and scalings used by conventional transforms. In addition to providing a unifying framework for studying existing time-frequency representations, the general class provides a systematic method for designing new representations with properties useful for certain types of signals.>

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new class of signal analysis tools that generalizes the popular wavelet and short-time Fourier transforms is introduced. The class allows skews and rotations of the analyzing wavelet in the time-frequency plane, in addition to the time and frequency translations and scalings used by conventional transforms. In addition to providing a unifying framework for studying existing time-frequency representations, the general class provides a systematic method for designing new representations with properties useful for certain types of signals.>

Key concepts: Wavelet, Class (philosophy), Computer science, Time–frequency analysis, Wavelet transform, Fourier transform, SIGNAL (programming language), Signal processing

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