Bayesian parameter estimation of porous materials

This work proposes a new application of Bayesian analysis to determine the physical parameters of a rigid frame porous material from the measurement of the material’s acoustic impedance. Bayesian analysis allows for numerical estimation of physical parameters, their uncertainties, and inter‐relationship of the parameters from the measured complex impedance. Complex impedance data are simulated based on measurements of a sample material to test the Bayesian formulation. Using synthesized data allows for investigations of different frequency resolutions and different levels of noise on the algorithm. Results obtained from testing the parameter estimation algorithm with synthesized data will be utilized in applying the algorithm to measured complex impedance data.