Estimation of body resonances from a time-frequency analysis of violin vibrato

Maureen Mellody; Gregory H. Wakefield

doi:10.1117/12.367675

2 November 1999 Estimation of body resonances from a time-frequency analysis of violin vibrato

Maureen Mellody, Gregory H. Wakefield

Proceedings Volume 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX; (1999) https://doi.org/10.1117/12.367675
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

We present a signal-based technique for evaluating a pole-zero representation of the resonant response of a violin instrument. This technique combines time-frequency signal analysis with system identification techniques to determine the pole-zero function that would account for amplitude modulation observed on the partials of violin notes performed with vibrato. Violin vibrato signals are analyzed with the modal distribution to obtain values of instantaneous amplitude and frequency for each partial. From these, input and output functions are synthesized and used to estimate the violin body's impulse response using an infinite impulse response (IIR) system identification procedure. In each case, the input and output functions share the same instantaneous frequency of the measured partial. However, the rapid amplitude variations are present only on the output function. We report on the location and spacing of these estimated resonances and discuss their relationship to those obtained from theoretical predictions and other measurement procedures.

Citation Download Citation

Maureen Mellody and Gregory H. Wakefield "Estimation of body resonances from a time-frequency analysis of violin vibrato", Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); https://doi.org/10.1117/12.367675

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KEYWORDS

System identification

Time-frequency analysis

Amplitude modulation

Niobium

Sodium

Solids

Signal analyzers

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