Interpolation and extrapolation of room transfer functions based on common acoustical poles and their residues

Abstract

We propose a new method of modeling a room transfer function (RTF) that uses common acoustical poles and their residues. The common acoustical poles correspond to the resonance frequencies (eigenvalues) of the room, and their residues are composed of the eigenfunctions of the source and receiver positions in the room. Because the common acoustical poles do not depend on the source and receiver positions, this model expresses the RTF variations due to changes in the source and receiver positions by using residue variations. We also propose methods of interpolating and extrapolating RTFs based on the proposed common-acoustical-pole and residue model. Computer simulation demonstrated that unknown RTFs can be well estimated from known (measured) RTFs by using these methods.