Spatial Filter Bank in the Spherical Harmonic Domain: Reconstruction and Application

Hold C, Schlecht SJ, Politis A, Pulkki V (2021)

Publication Type: Conference contribution

Publication year: 2021

Publisher: Institute of Electrical and Electronics Engineers Inc.

Book Volume: 2021-October

Pages Range: 361-365

Conference Proceedings Title: IEEE Workshop on Applications of Signal Processing to Audio and Acoustics

Event location: New Paltz, NY, USA

ISBN: 9781665448703

DOI: 10.1109/WASPAA52581.2021.9632709

Abstract

Filter banks are an integral part of modern signal processing. They may also be applied to spatial filtering and the employed spatial filters can be designed with a specific shape for the analysis, e. g. suppressing side-lobes. After extracting spatially constrained signals from spherical harmonic (SH) input, i. e. filter bank analysis, many applications demand for a re-synthesis of the associated sector signals to the SH domain. This paper hence derives the complementary spatial filter bank reconstruction. The criterion for perfect reconstruction, and energy preserving reconstruction are given and implemented into the design. The filter bank is formulated such that for axisymmetric patterns both criteria can be met by only minor modification to the reconstruction stage. Its application is then demonstrated for both scenarios, perfect reconstruction and energy preservation of SH input signals.

Authors with CRIS profile

Sebastian Schlecht

Involved external institutions

Aalto University Espoo FI Finland (FI)

How to cite

APA:

Hold, C., Schlecht, S.J., Politis, A., & Pulkki, V. (2021). Spatial Filter Bank in the Spherical Harmonic Domain: Reconstruction and Application. In IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (pp. 361-365). New Paltz, NY, USA: Institute of Electrical and Electronics Engineers Inc..

MLA:

Hold, Christoph, et al. "Spatial Filter Bank in the Spherical Harmonic Domain: Reconstruction and Application." Proceedings of the 2021 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, WASPAA 2021, New Paltz, NY, USA Institute of Electrical and Electronics Engineers Inc., 2021. 361-365.

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