journal article·2025-06-17Open access

Minimum Audible Angle in 3rd-Order Ambisonics in Horizontal Plane for Different Ambisonic Decoders

Katarzyna Sochaczewska, Karolina Prawda, Paweł Małecki, Magdalena Piotrowska, Jerzy Wiciak

Applied Sciences· Volume 15· Issue 12

Abstract

As immersive audio is gaining popularity, the perceptual aspects of spatial sound reproduction become relevant. The authors investigate a measure related to spatial resolution, the Minimum Audible Angle (MAA), which is understudied in the context of Ambisonics. This study examines MAA thresholds in the horizontal plane in three ambisonic decoders—the Sample Ambisonic Decoder (SAD), Energy-Preserving Ambisonic Decoder (EPAD), and All-Round Ambisonic Decoder (AllRAD). The results demonstrate that the decoder type influences spatial resolution, with the EPAD exhibiting superior performance in MAA thresholds (1.24∘ at 0∘ azimuth) compared to the SAD and AllRAD. These differences reflect the discrepancies in the decoders’ energy vector distribution and angular error. The MAA values remain consistent between decoders up to 30∘ azimuth but diverge significantly beyond this range, especially in the 60∘–135∘ region corresponding to the cone of confusion. The findings of this study provide valuable insights for spatial audio applications based on ambisonic technology.
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Research context

OpenAlex topics: Digital Filter Design and Implementation · Photonic and Optical Devices · Advanced Data Compression Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Faculty of Mechanical Engineering and Robotics, Department of Mechanics and Vibroacoustics, AGH University of Krakow, 30-059 Krakow, Poland

AudioLab, School of Physics, Engineering and Technology, University of York, York YO10 5DD, UK

References (38)

Show source-provided references
1. Blauert, J. (1997). Spatial Hearing: The Psychophysics of Human Sound Localization, MIT Press.10.7551/mitpress/6391.001.0001 ↗
2. Carlini, A., Bordeau, C., and Ambard, M. (2024). Auditory localization: A comprehensive practical review. Front. Psychol., 15.10.3389/fpsyg.2024.1408073 ↗
3. Virtual sound source positioning using vector base amplitude panning
4. Gerzon, M.A. (1992, January 1–4). General metatheory of auditory localisation. Proceedings of the Audio Engineering Society Convention, San Francisco, CA, USA.
5. Gerzon, M.A., and Barton, G.J. (1992, January 1–4). Ambisonic decoders for HDTV. Proceedings of the Audio Engineering Society Convention 92, San Francisco, CA, USA.
6. Zotter, F., and Frank, M. (2019). Ambisonics: A Practical 3D Audio Theory for Recording, Studio Production, Sound Reinforcement, and Virtual Reality, Springer Nature.10.1007/978-3-030-17207-7 ↗
7. (2025, March 07). What Is IAMF?. Available online: https://aomedia.org/specifications/iamf/.
8. Rudzki, T., Kearney, G., and Skoglund, J. (2025, January 22–24). On the Design of the Binaural Rendering Library for Eclipsa Audio Immersive Audio Container. Proceedings of the 158th Convention of the Audio Engineering Society, Warszawa, Poland.
9. On the minimum audible angle10.1121/1.1909553 ↗
10. Minimum auditory movement angle: Binaural localization of moving sound sources10.1121/1.381675 ↗
11. 3D microphone array comparison: Objective measurements10.17743/jaes.2021.0038 ↗
12. Bertet, S., Daniel, J., Gros, L., Parizet, E., and Warusfel, O. (2007, January 15–17). Investigation of the perceived spatial resolution of higher order ambisonics sound fields: A subjective evaluation involving virtual and real 3D microphones. Proceedings of the Audio Engineering Society 30th International Conference, Saariselka, Finland.
13. Braun, S., and Frank, M. (2011, January 10–13). Localization of 3D ambisonic recordings and ambisonic virtual sources. Proceedings of the 1st International Conference on Spatial Audio, Detmold, Germany.
14. Static and moving minimum audible angle: Independent contributions of reverberation and position10.1121/10.0025992 ↗
15. Meng, R., Xiang, J., Sang, J., Zheng, C., Li, X., Bleeck, S., Cai, J., and Wang, J. (2021). Investigation of an MAA test with virtual sound synthesis. Front. Psychol., 12.10.3389/fpsyg.2021.656052 ↗
16. Focality of sound source placement by higher (ninth) order ambisonics and perceptual effects of spectral reproduction errors10.1121/10.0036226 ↗
17. Comparison of 2D and 3D multichannel audio rendering methods for hearing research applications using technical and perceptual measures10.1051/aacus/2024009 ↗
18. Surround-sound psychoacoustics
19. McLaren’s improved snub cube and other new spherical designs in three dimensions10.1007/BF02711518 ↗
20. Zotter, F., and Pasqual, A.M. (2011). Radiation Modes of t-Design and Extremal-Points Compact Spherical Loudspeaker Arrays, Fortschritte der Akustik.
21. Comparison of auditory spatial bisection and minimum audible angle in front, lateral, and back space10.1038/s41598-020-62983-z ↗
22. Self-translation induced minimum audible angle10.1121/1.5064957 ↗
23. Goldstein, E.B. (2008). Blackwell Handbook of Sensation and Perception, John Wiley & Sons.10.1002/9780470753477 ↗
24. Zotter, F., Frank, M., and Pomberger, H. (2013). Comparison of Energy-Preserving and All-Round Ambisonic Decoders, Fortschritte der Akustik, AIA-DAGA (Meran).
25. Energy-preserving ambisonic decoding10.3813/AAA.918490 ↗
26. All-round ambisonic panning and decoding
27. Frank, M., Zotter, F., and Sontacchi, A. (2015, January 6–8). Producing 3D audio in ambisonics. Proceedings of the Audio Engineering Society Conference: 57th International Conference: The Future of Audio Entertainment Technology–Cinema, Television and the Internet, Los Angeles, CA, USA.
28. (2025, February 23). SPCMIC: Ambisonics for Human Beings. Available online: https://spcmic.com//.
29. Kleczkowski, P., Pluta, M., Macura, P., and Paczkowska, E. (2012, January 26–29). Listeners who have low hearing thresholds do not perform better in difficult listening tasks. Proceedings of the Audio Engineering Society Convention 132, Budapest, Hungary.
30. Sochaczewska, K., Małecki, P., and Piotrowska, M. (2021, January 8–10). Evaluation of the Minimum Audible Angle on Horizontal Plane in 3rd order Ambisonic Spherical Playback System. Proceedings of the 2021 Immersive and 3D Audio: From Architecture to Automotive (I3DA), Bologna, Italy.10.1109/I3DA48870.2021.9610858 ↗
31. Transformed up-down methods in psychoacoustics10.1121/1.1912375 ↗
32. Hybrid adaptive procedure for estimation of psychometric functions10.1121/1.385912 ↗
33. Additional rules for the transformed up-down method in psychophysics10.3758/BF03205497 ↗
34. McCormack, L., and Politis, A. (2019, January 27–29). SPARTA & COMPASS: Real-time implementations of linear and parametric spatial audio reproduction and processing methods. Proceedings of the AES International Conference on Immersive and Interactive Audio, York, UK.
35. Investigation on the restitution system influence over perceived Higher Order Ambisonics sound field: A subjective evaluation involving from first to fourth order systems10.1121/1.2936007 ↗
36. Frank, M., Zotter, F., and Sontacchi, A. (2008, January 19–22). Localization experiments using different 2D ambisonics decoders (lokalisationsversuche mit verschiedenen 2D ambisonics dekodern). Proceedings of the 25. Tonmeistertagung, Leipzig, Germany.
37. Painfree and accurate Bayesian estimation of psychometric functions for (potentially) overdispersed data10.1016/j.visres.2016.02.002 ↗
38. Letowski, T.R., and Letowski, S.T. (2012). Auditory Spatial Perception: Auditory Localization, Technical Report; Army Research Laboratory Aberdeen Proving Ground MD Human Research and Engineering Directorate.10.21236/ADA562292 ↗