A fast transfer function algorithm for nonuniform acoustic tubes

A fast algorithm for computing the transfer function for a nonuniform acoustic tube with acoustical losses and branches has been developed. It is based on the derived analytical correlations between the cross-section areas of such a tube and the coefficient of a corresponding autoregressive model with a moving average (ARMA-model). Comparison of transfer functions calculated with the use of the derived correlations with the results of a standard transmission-line method shows the accuracy and efficiency of the developed algorithm.