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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Author(s): Briani, Matteo
Cuyt, Annie
Lee, Wen-shin
Title: Validated exponential analysis for harmonic sounds
Editor(s): Torin, A
Hamilton, B
Bilbao, S
Newton, M
Citation: Briani M, Cuyt A & Lee W (2017) Validated exponential analysis for harmonic sounds. In: Torin A, Hamilton B, Bilbao S & Newton M (eds.) Proceedings of the 20th International Conference on Digital Audio Effects (DAFx-17). DAFx proceedings series. 20th International Conference on Digital Audio Effects, Edinburgh, UK, 05.09.2017-09.09.2017. Hamburg, Germany: University of Edinburgh, pp. 222-227.
Issue Date: 31-Dec-2017
Series/Report no.: DAFx proceedings series
Conference Name: 20th International Conference on Digital Audio Effects
Conference Dates: 2017-09-05 - 2017-09-09
Conference Location: Edinburgh, UK
Abstract: In audio spectral analysis, the Fourier method is popular because of its stability and its low computational complexity. It suffers however from a time-frequency resolution trade off and is not particularly suited for aperiodic signals such as exponentially decaying ones. To overcome their resolution limitation, additional techniques such as quadratic peak interpolation or peak picking, and instantaneous frequency computation from phase unwrapping are used. Parametric methods on the other hand, overcome the time frequency trade off but are more susceptible to noise and have a higher computational complexity. We propose a method to overcome these drawbacks: we set up regularized smaller sized independent problems and perform a cluster analysis on their combined output. The new approach validates the true physical terms in the exponential model, is robust in the presence of outliers in the data and is able to filter out any non-physical noise terms in the model. The method is illustrated in the removal of electrical humming in harmonic sounds.
Status: VoR - Version of Record
Rights: Copyright is retained by the authors

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