A Methodology for the Estimation of Propagation Speed of Longitudinal Waves in Tone Wood

In this paper we propose a methodology for the estimation of the longitudinal wave velocity in tone wood. Differently from techniques adopted in the field of luthiery, the proposed estimation method does not require neither specific user skill nor expensive instrumentation. The introduced method exploits the impulse response of the wood block, acquired by means of accelerometers. The measured signals are processed in order to compute an estimate of the longitudinal wave velocity of the tone wood in a rake receiver fashion. We tested the technique both on synthetic data and measurements of actual tone wood blocks, showing the effectiveness of the proposed solution with respect to state-of-the-art methods.

[1]  Bill Fladung,et al.  Windows used for impact testing , 1997 .

[2]  S. Schwerman,et al.  The Physics of Musical Instruments , 1991 .

[3]  Sandeep Vijayakar,et al.  Method of images for the harmonic response of beams and rectangular plates , 1995 .

[4]  Hisashi Shiba Layered model sound speed profile estimation , 2013, 2013 MTS/IEEE OCEANS - Bergen.

[5]  V. Magori,et al.  Ultrasonic remote sensors for noncontact object detection , 1981 .

[6]  J. Samuel,et al.  The mechanical properties of wood,: including a discussion of the factors affecting the mechanical properties, and methods of timber testing, , 2009 .

[7]  Jacques Cuenca,et al.  The image source method for calculating the vibrations of simply supported convex polygonal plates , 2009 .

[8]  Rudolf Rabenstein,et al.  Closed-form estimation of the speed of propagating waves from time measurements , 2014, Multidimens. Syst. Signal Process..

[9]  Patrick A. Naylor,et al.  TDOA-Based Speed of Sound Estimation for Air Temperature and Room Geometry Inference , 2013, IEEE Transactions on Audio, Speech, and Language Processing.

[10]  Dario Petri,et al.  Digital time-of-flight measurement for ultrasonic sensors , 1991 .

[11]  E K Skarsoulis,et al.  Use of acoustic navigation signals for simultaneous localization and sound-speed estimation. , 2009, The Journal of the Acoustical Society of America.

[12]  Ulrike G K Wegst,et al.  Wood for sound. , 2006, American journal of botany.

[13]  Rudolf Rabenstein,et al.  Acoustic Source Localization under Variable Speed of Sound Conditions , 2017, Wirel. Commun. Mob. Comput..

[14]  L. J. Markwardt,et al.  TENSION PARALLEL-TO-GRAIN PROPERTIES OF SOUTHERN PINE DIMENSION LUMBER. , 1967 .

[15]  Hiroshi Akima,et al.  A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures , 1970, JACM.

[16]  G E Trahey,et al.  The direct estimation of sound speed using pulse-echo ultrasound. , 1998, The Journal of the Acoustical Society of America.

[17]  Rajendra Singh,et al.  Harmonic Green’s functions of a semi-infinite plate with clamped or free edges , 1998 .

[18]  Özgür B. Akan,et al.  A three dimensional localization algorithm for underwater acoustic sensor networks , 2009, IEEE Transactions on Wireless Communications.

[19]  P. E. Green,et al.  A Communication Technique for Multipath Channels , 1958, Proceedings of the IRE.