Extraction of statistical properties of the point source response of a reverberant plate and application to parameter estimation (L).

The point source response of a reverberant solid plate is modeled through a nonstationary Poisson process based on the image-source method. The theoretical expectation of the envelope is then derived, taking into account the dispersive nature of plate waves, and validated by numerical results. Least-square curve-fitting applied to an ensemble average over N realizations can then be used to identify useful parameters such as wave velocity, plate surface, or source-receiver distance. It is shown that even values of N down to 1 (no averaging) allow a satisfying identification. Application to the estimation of the source-receiver distance using a single sensor is finally highlighted to illustrate the promising potentialities of the measurement principle proposed.