Extending the sound impulse response of room using extrapolation

An analytic method is used to extend the sound impulse response of a room. It is based on the extrapolation theory for band-limited signals. Only two matrix operations are needed for extending a discrete impulse response. Due to the approximation of the geometrical acoustic model of the observed data and the computation errors, the problem may be ill-conditioned. The optimum regularization method is used to solve the ill-posed problem. For discrete signals, the extrapolation is not unique, therefore additional constraints are used to obtain the admissible result. The method is evaluated with a set of psychoacoustic experiments. The evaluations are made on five psychological characteristics, and a general conclusion is given based on general fuzzy clustering.