Abstract
The integration of vibrotactile feedback in digital music instruments (DMIs) is thought to improve the instrument’s response and make it more suitable for expert musical interactions. However, given the extreme requirements of musical performances, there is a need for solutions allowing for independent control of frequency and amplitude over a wide frequency bandwidth (40–1000 Hz) and low harmonic distortion, so that flexible and high-quality vibrotactile feedback can be displayed. In this paper, we evaluate cost-effective and portable solutions that meet these requirements. We first measure the magnitude–frequency and harmonic distortion characteristics of two vibrotactile actuators, where the harmonic distortion is quantified in the form of total harmonic distortion (THD). The magnitude–frequency and THD characteristics in two unloaded cases (actuator suspended freely or placed on a sandbag) are observed to be largely identical, with minor attenuation for actuators placed on the sandbag. Loading the actuator (when placed in a DMI) brings resonant features to its magnitude–frequency characteristics, increasing the output THD and imposing a dampening effect. To equalize the system’s frequency response, an autoregressive method that automatically estimates minimum-phase filter parameters is introduced, which by design, remains stable upon inversion A practical use of this method is demonstrated by implementing vibrotactile feedback in the poly vinyl chloride chassis of an unfinished DMI, the t-Stick. We finally compare the result of equalization by performing sinesweep measurements on the implementation and discuss the degree of equalization achieved using it.
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Notes
Measured in the form of ntermodulation Distortion (IMD) [19].
Sensitivity: \(0.5\ \hbox {mV/m/s}^2\).
Poor low-frequency performance was previously observed for piezo actuators by Marshall [24].
https://ccrma.stanford.edu/jos/fp/Definition_Minimum_Phase_Filters.html Link: CCRMA, J. O. Smith: Minimum Phase Definition.
The phase of a realization of a stationary random process is also random.
The poles of the estimated model become zeros of its inverse filter (i.e., an MA filter as described in Sect. 7).
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Acknowledgements
This research was made possible by the test equipment and facilities available at The Centre for Interdisciplinary Research In Music Media and Technology (CIRMMT). The authors would additionally like to thank Gary Scavone, Romain Dumoulin, Yves Méthot, Esteban Mae-stre, Marcelo Giordano, Harish Venkatesan, Ian Marci and Christian Frisson for extending their support and advice during the course of this research.
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Bukkapatnam, A.T., Depalle, P. & Wanderley, M.M. Defining a vibrotactile toolkit for digital musical instruments: characterizing voice coil actuators, effects of loading, and equalization of the frequency response. J Multimodal User Interfaces 14, 285–301 (2020). https://doi.org/10.1007/s12193-020-00340-0
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DOI: https://doi.org/10.1007/s12193-020-00340-0