Detecting simultaneous directions of arrival in an Ambisonic signal with REVEB-ESPRIT

Zotter F, Deppisch T. Detecting simultaneous directions of arrival in an Ambisonic signal with REVEB-ESPRIT. In: AES Convention 154. Audio Engineering Society; 2023. Paper 100. Available from: https://aes.org/publications/elibrary-page/?id=22067

@inproceedings{Zotter2023_22067,
  author = {Zotter, Franz and Deppisch, Thomas},
  title = {{Detecting simultaneous directions of arrival in an Ambisonic signal with REVEB-ESPRIT}},
  booktitle = {AES Convention 154},
  note = {Paper 100},
  year = {2023},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=22067}
}

TY  - CPAPER
TI  - Detecting simultaneous directions of arrival in an Ambisonic signal with REVEB-ESPRIT
AU  - Zotter, Franz
AU  - Deppisch, Thomas
T2  - AES Convention 154
M1  - Paper 100
PY  - 2023
DA  - 2023/05/06
UR  - https://aes.org/publications/elibrary-page/?id=22067
PB  - Audio Engineering Society
LA  - en
AB  - We present a purely real-valued variant of the extended vector-based EB-ESPRIT (REVEB-ESPRIT), an algorithm that estimates multiple simultaneous directions of arrival (DOAs) from Ambisonic signals, which are either encoded mono sounds or captured via a spherical microphone array. Our proposal uses fully real-valued spherical harmonics and DOA vectors and presents the required extended set of recurrence relations. Moreover, we propose a real-valued joint Schur decomposition using inverse iterations to efficiently solve the simultaneous diagonalization problem that is inherent in EB-ESPRIT algorithms. We evaluate the proposed algorithm in free-field conditions with a varying number of simultaneously estimated DOAs and varying signal-to-noise ratios. Our analysis shows a slight increase in speed and accuracy due to the proposed real-valued formalism, and in particular a noticeable increase in speed and accuracy when detecting many simultaneous DOAs. A reference implementation of the proposed algorithm is provided online.
ER  -