Membrane shape and boundary conditions estimation using eigenmode decomposition

T. Nowakowski, N. Bertin, R. Gribonval, J. Rosny, L. Daudet
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引用次数: 4

Abstract

This paper investigates the problem of estimating the shape or the boundary impedance of a vibrating membrane from acoustic measurements in a limited sub-domain of the membrane. In acoustics, polygonal room shapes are usually estimated through room impulse response measurements. Impedance values of materials are, in turn, often calculated from the measurement of the acoustic reflection coefficients at the boundaries. In this work, we develop an alternative frequency-domain method to estimate the shape of a convex membrane with generalized Robin boundary conditions, from the measurement of its eigenmodes on a small portion of its surface. Reciprocally, we show that the same model allows to estimate the membrane borders' impedances when its shape is known.
利用特征模态分解估计膜的形状和边界条件
本文研究了在膜的有限子域内通过声学测量来估计振动膜的形状或边界阻抗的问题。在声学中,通常通过房间脉冲响应测量来估计多边形房间的形状。反过来,材料的阻抗值通常是通过测量边界处的声反射系数来计算的。在这项工作中,我们开发了一种替代频域方法来估计具有广义Robin边界条件的凸膜的形状,从其表面的一小部分特征模态的测量。反过来,我们表明,当膜的形状已知时,相同的模型允许估计膜边界的阻抗。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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