Analysis of bridge admittance of plucked string instruments in the high frequency range
Résumé
The differences of assessment between musical instruments of the same kind (e.g classical guitars) covers aspects linked to sounds, expressibility, or even manufacturing process. How to extract relevant information related to these aspects by measuring well chosen physical (acoustical, vibratory) parameters ? The aim of the proposed study is to identify criteria enabling the clustering of string instruments in different classes. The plucked instruments will be our application. The knowledge of these parameters would then allow to give an help to the instrument maker in the adjustments and settings likely to be made on an instrument. The modal parameters (frequency, and damping coefficient) can be estimated accurately on a large frequency range from impulse responses by using the high-resolution ESPRIT method, associated with the ESTER criterion to enumerate the signal components. Global parameters, such as the modal density, loss factors and modal overlap factor can be determined and used to estimate average mobility, derived from Skudrzyk's mean-value theorem. The application on guitars and ukulele shows a common behavior of their average mobility: it remains constant in the mid and high frequency domains. The corresponding value is used as one of the parameters enabling the % clustering and the characterization.
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