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JO. G.. Tylka, and ED. Y.. Choueiri, "Performance of Linear Extrapolation Methods for Virtual Sound Field Navigation," J. Audio Eng. Soc., vol. 68, no. 3, pp. 138-156, (2020 March.). doi: https://doi.org/10.17743/jaes.2019.0054 JO. G.. Tylka, and ED. Y.. Choueiri, "Performance of Linear Extrapolation Methods for Virtual Sound Field Navigation," J. Audio Eng. Soc., vol. 68 Issue 3 pp. 138-156, (2020 March.). doi: https://doi.org/10.17743/jaes.2019.0054
Abstract: Performance errors are characterized for two representative linear extrapolation methods for virtual navigation of higher-order ambisonics sound fields. For such methods, navigation is theoretically restricted to within the so-called region of validity, which extends spherically from the recording ambisonics microphone to its nearest source, but the precise consequences of violating that restriction has not been previously established. To that end, the errors introduced by each method are objectively evaluated in terms of metrics for sound level, spectral coloration, source localization, and diffuseness, through numerical simulations over a range of valid and invalid conditions. Under valid conditions, results show that the first method, based on translating along plane-waves, accurately reproduces both the level and localization of a source, whereas the second method, based on ambisonics translation coefficients, incurs significant errors in both level and spectral content that increase steadily with translation distance. Under invalid conditions, two common features of the performance of both methods are identified: significant localization errors are introduced and the reproduced level is too low. It is argued that these penalties are inherent to all methods that are bound by the region of validity restriction, including all linear extrapolation methods.

@article{tylka2020performance,
author={tylka, joseph g. and choueiri, edgar y.},
journal={journal of the audio engineering society},
title={performance of linear extrapolation methods for virtual sound field navigation},
year={2020},
volume={68},
number={3},
pages={138-156},
doi={https://doi.org/10.17743/jaes.2019.0054},
month={march},} @article{tylka2020performance,
author={tylka, joseph g. and choueiri, edgar y.},
journal={journal of the audio engineering society},
title={performance of linear extrapolation methods for virtual sound field navigation},
year={2020},
volume={68},
number={3},
pages={138-156},
doi={https://doi.org/10.17743/jaes.2019.0054},
month={march},
abstract={performance errors are characterized for two representative linear extrapolation methods for virtual navigation of higher-order ambisonics sound fields. for such methods, navigation is theoretically restricted to within the so-called region of validity, which extends spherically from the recording ambisonics microphone to its nearest source, but the precise consequences of violating that restriction has not been previously established. to that end, the errors introduced by each method are objectively evaluated in terms of metrics for sound level, spectral coloration, source localization, and diffuseness, through numerical simulations over a range of valid and invalid conditions. under valid conditions, results show that the first method, based on translating along plane-waves, accurately reproduces both the level and localization of a source, whereas the second method, based on ambisonics translation coefficients, incurs significant errors in both level and spectral content that increase steadily with translation distance. under invalid conditions, two common features of the performance of both methods are identified: significant localization errors are introduced and the reproduced level is too low. it is argued that these penalties are inherent to all methods that are bound by the region of validity restriction, including all linear extrapolation methods.},}

TY - paper
TI - Performance of Linear Extrapolation Methods for Virtual Sound Field Navigation
SP - 138 EP - 156
AU - Tylka, Joseph G.
AU - Choueiri, Edgar Y.
PY - 2020
JO - Journal of the Audio Engineering Society
IS - 3
VO - 68
VL - 68
Y1 - March 2020 TY - paper
TI - Performance of Linear Extrapolation Methods for Virtual Sound Field Navigation
SP - 138 EP - 156
AU - Tylka, Joseph G.
AU - Choueiri, Edgar Y.
PY - 2020
JO - Journal of the Audio Engineering Society
IS - 3
VO - 68
VL - 68
Y1 - March 2020
AB - Performance errors are characterized for two representative linear extrapolation methods for virtual navigation of higher-order ambisonics sound fields. For such methods, navigation is theoretically restricted to within the so-called region of validity, which extends spherically from the recording ambisonics microphone to its nearest source, but the precise consequences of violating that restriction has not been previously established. To that end, the errors introduced by each method are objectively evaluated in terms of metrics for sound level, spectral coloration, source localization, and diffuseness, through numerical simulations over a range of valid and invalid conditions. Under valid conditions, results show that the first method, based on translating along plane-waves, accurately reproduces both the level and localization of a source, whereas the second method, based on ambisonics translation coefficients, incurs significant errors in both level and spectral content that increase steadily with translation distance. Under invalid conditions, two common features of the performance of both methods are identified: significant localization errors are introduced and the reproduced level is too low. It is argued that these penalties are inherent to all methods that are bound by the region of validity restriction, including all linear extrapolation methods.