ACCURATE REVERBERATION TIME CONTROL IN FEEDBACK DELAY NETWORKS

The reverberation time is one of the most prominent acoustical qualities of a physical room. Therefore, it is crucial that artificial reverberation algorithms match a specified target reverberation time accurately. In feedback delay networks, a popular framework for modeling room acoustics, the reverberation time is determined by combining delay and attenuation filters such that the frequencydependent attenuation response is proportional to the delay length and by this complying to a global attenuation-per-second. However, only few details are available on the attenuation filter design as the approximation errors of the filter design are often regarded negligible. In this work, we demonstrate that the error of the filter approximation propagates in a non-linear fashion to the resulting reverberation time possibly causing large deviation from the specified target. For the special case of a proportional graphic equalizer, we propose a non-linear least squares solution and demonstrate the improved accuracy with a Monte Carlo simulation.

[1]  William J. Davies,et al.  Perception of Reverberation Time in Small Listening Rooms , 2002 .

[2]  Vesa Välimäki,et al.  Efficient target-response interpolation for a graphic equalizer , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[3]  Zoran Cvetkovic,et al.  Frequency-Domain Scattering Delay Networks for Simulating Room Acoustics in Virtual Environments , 2011, 2011 Seventh International Conference on Signal Image Technology & Internet-Based Systems.

[4]  Jean-Marc Jot,et al.  Digital Delay Networks for Designing Artificial Reverberators , 1991 .

[5]  Emanuel A. P. Habets,et al.  On Lossless Feedback Delay Networks , 2016, IEEE Transactions on Signal Processing.

[6]  M. Schroeder New Method of Measuring Reverberation Time , 1965 .

[7]  Matti Karjalainen,et al.  Efficient and Parametric Reverberator for Room Acoustics Modeling , 1997, ICMC.

[8]  Robert Bristow-Johnson The Equivalence of Various Methods of Computing Biquad Coefficients for Audio Parametric Equalizers , 1994 .

[9]  Jean-Marc Jot,et al.  Proportional Parametric Equalizers—Application to Digital Reverberation and Environmental Audio Processing , 2015 .

[10]  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.

[11]  Carl F. Eyring,et al.  Reverberation Time in “Dead” Rooms , 1930 .

[12]  W. G. Gardner,et al.  A real‐time multichannel room simulator , 1992 .

[13]  Julius O. Smith,et al.  Efficient Synthesis of Room Acoustics via Scattering Delay Networks , 2015, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[14]  Robert B. Newman,et al.  Collected Papers on Acoustics , 1927 .

[15]  Stephen J. Wright,et al.  Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .

[16]  Vesa Välimäki,et al.  All About Audio Equalization: Solutions and Frontiers , 2016 .

[17]  Davide Rocchesso,et al.  Circulant and elliptic feedback delay networks for artificial reverberation , 1997, IEEE Trans. Speech Audio Process..

[18]  Davide Rocchesso,et al.  Reverberation still in business: Thickening and propagating micro-textures in physics-based sound modeling , 2015 .

[19]  Jon Dattorro,et al.  Effect Design: Part 1: Reverberator and Other Filters , 1997 .

[20]  Zoran Cvetkovic,et al.  Scattering Delay Network: An Interactive Reverberator for Computer Games , 2011 .

[21]  Matti Karjalainen,et al.  More About This Reverberation Science: Perceptually Good Late Reverberation , 2001 .

[22]  Seyed-Ali Azizi A New Concept of Interference Compensation for Parametric and Graphic Equalizer Banks , 2001 .

[23]  Jean-Marc Jot,et al.  Efficient models for reverberation and distance rendering in computer music and virtual audio reality , 1997, ICMC.

[24]  Steven van de Par,et al.  A Computationally-Efficient and Perceptually-Plausible Algorithm for Binaural Room Impulse Response Simulation , 2014 .

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

[26]  Vesa Välimäki,et al.  Fifty Years of Artificial Reverberation , 2012, IEEE Transactions on Audio, Speech, and Language Processing.

[27]  Vesa Välimäki,et al.  High-Precision Parallel Graphic Equalizer , 2014, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[28]  Jonathan S. Abel,et al.  Filter Design Using Second-Order Peaking and Shelving Sections , 2004, ICMC.

[29]  Olivier Warusfel,et al.  Hybrid Reverberation Processor with Perceptual Control , 2014, DAFx.