Measurement of the acoustic transfer function using compressed sensing techniques

In this paper, we proposed a new efficient measurement method of the acoustic transfer function (ATF) between a fixed source and a predesigned region. Measuring the ATF in reverberant room is a cumbersome procedure in acoustic signal processing, because the ATF rapidly varies with varying source and receiver positions over the room. A major problem in the measurement is how to acquire the higher order ATF coefficients using a limited number of microphones. Based on the general model of ATF, we assume that the ATF is sparse in source domain, and then acquire the higher order ATF coefficients by applying compressed sensing techniques. Simulation results demonstrate that the method is a practical way of measuring the ATF over large area with dramatically reduced number of microphones. The successful estimation of the ATF over a wide frequency range has also been demonstrated.