A Numerical Investigation of the Representation of RoomTransfer Functions for Arti cial Reverberation

In this paper we try to establish the system order for the correct representation of a set of room transfer functions (RTF), in order to partition memory between the common recursive part and the non-recursive part specialized for each RTF. To this end, we apply a few system theory concepts on a set of simulated rectangular rooms, whose impulse responses were generated using the image method [1]. A further validation of our results is provided by an analysis of the frequency density of a comblter modeling of the recursive part.

[1]  Jean-Marc Jot,et al.  An analysis/synthesis approach to real-time artificial reverberation , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[3]  Davide Rocchesso The Ball within the Box: A Sound-Processing Metaphor , 1995 .

[4]  W. Putnam,et al.  A numerical investigation of the invertibility of room transfer functions , 1995, Proceedings of 1995 Workshop on Applications of Signal Processing to Audio and Accoustics.

[5]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[6]  Shoji Makino,et al.  Common acoustical pole and zero modeling of room transfer functions , 1994, IEEE Trans. Speech Audio Process..

[7]  Steve Rogers,et al.  Adaptive Filter Theory , 1996 .

[8]  James A. Moorer,et al.  About This Reverberation Business , 1978 .