Abstract-This paper proposes an efficient parameterization of the Room Transfer Function (RTF). Typically, the RTF rapidly varies with varying source and receiver positions, hence requires an impractical number of point to point measurements to characterize a given room. Therefore, we derive a novel RTF parameterization that is robust to both receiver and source variations with the following salient features: (i) The parameterization is given in terms of a modal expansion of 3D basis functions. (ii) The aforementioned modal expansion can be truncated at a finite number of modes given that the source and receiver locations are from two sizeable spatial regions, which are arbitrarily distributed. (iii) The parameter weights/coefficients are independent of the source/receiver positions. Therefore, a finite set of coefficients is shown to be capable of accurately calculating the RTF between any two arbitrary points from a predefined spatial region where the source(s) lie and a pre-defined spatial region where the receiver(s) lie. A practical method to measure the RTF coefficients is also provided, which only requires a single microphone unit and a single loudspeaker unit, given that the room characteristics remain stationary over time. The accuracy of the above parameterization is verified using appropriate simulation examples.
I. INTRODUCTIONThe room transfer function (RTF), demonstrates the collective effect of multipath propagation of sound between a source and a receiver within a given room enclosure. Accurate modeling of the RTF is useful in soundfield simulators as well as many other applications such as sound reproduction, soundfield equalization, echo cancellation, and speech dereverberation. These applications use appropriate RTF deconvolution methods to cancel the effects of room reflections (reverberation), and therefore, are highly dependent on the accuracy of the RTF model.The theoretical solution to the RTF based on the Green's function [1] was derived assuming a strict rectangular room geometry. It can only be applied to highly idealised cases with reasonable effort. The rooms with which we are concerned in our daily life however are more or less irregular in shape and the formulation of irregular boundary conditions will require extensive numerical calculations. For this reason, the immediate application of the classical model to practical problems in room acoustics is limited.In practice, RTFs are usually estimated as FIR filters, or as parametric equations based on the geometrical properties of the room. In the FIR filter approach, the RTF is assumed to behave as a linear time-invariant system, and then modeled as either an all-zero, all-pole, pole-zero [2] or a common pole-zero [3] system. The coefficients of these models are estimated as variable parameters of the RTF, and since the