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Efficient waveform synthesis by harmonic components

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Abstract

Various techniques for achieving waveform synthesis are presented, with particular attention directed toward acoustic waves. The numerical method of conjugate gradient direction is proposed as an efficient tool for extracting the modal properties of an “ideal violin” as it undergoes a sweep-type excitation. The feasibility of the method is first established by demonstrating its effectiveness in synthesizing various waveforms and comparing it to other existing methodologies. In the ensuing analysis, the “ideal violin” is assumed to be an input–output system that can be effectively modeled as a set of independent linear second-order systems. Characteristics of the instrument are then extracted from its response to the forcing functions.

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  1. Department of Mechanical Engineering, University of Rhode Island, Kingston, RI, 02881, USA

    C.-E. Rousseau

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  1. C.-E. Rousseau
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Correspondence to C.-E. Rousseau.

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Rousseau, CE. Efficient waveform synthesis by harmonic components. Engineering with Computers 23, 147–154 (2007). https://doi.org/10.1007/s00366-006-0054-6

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  • DOI: https://doi.org/10.1007/s00366-006-0054-6

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