Discrete Wave Field Synthesis Using Fractional Order Filters and Fractional Delays

Salvador CD. Discrete Wave Field Synthesis Using Fractional Order Filters and Fractional Delays. In: AES Convention 128. Audio Engineering Society; 2010. Paper 8122. Available from: https://aes.org/publications/elibrary-page/?id=15419

@inproceedings{Salvador2010_15419,
  author = {Salvador, César D.},
  title = {{Discrete Wave Field Synthesis Using Fractional Order Filters and Fractional Delays}},
  booktitle = {AES Convention 128},
  note = {Paper 8122},
  year = {2010},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=15419}
}

TY  - CPAPER
TI  - Discrete Wave Field Synthesis Using Fractional Order Filters and Fractional Delays
AU  - Salvador, César D.
T2  - AES Convention 128
M1  - Paper 8122
PY  - 2010
DA  - 2010/05/06
UR  - https://aes.org/publications/elibrary-page/?id=15419
PB  - Audio Engineering Society
LA  - en
AB  - A discretization of the generalized 2.5D wave field synthesis driving functions is proposed in this paper. Time discretization is applied with special attention to prefiltering that involves half-order systems and to delaying that involves fractional-sample delays. Space discretization uses uniformly distributed loudspeakers along arbitrarily shaped contours. Visual and numerical comparisons between continuous and discrete synthesis with line, square and circular arrays are shown. An immersive soundscape composed of nature sounds is reported as example. Simulations have been done with MATLAB and real-time reproduction with Pure Data. Simulations of synthesized plane and spherical wave fields, in the whole listening area, report a percentage discretization error of less than 1%, using a 5th order IIR filter for prefiltering and a 3rd order IIR filter per channel for fractional delaying.
ER  -