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

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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.
Original languageEnglish
Title of host publication2021 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA)
PublisherIEEE
Number of pages5
ISBN (Electronic)978-1-6654-4870-3
ISBN (Print)978-1-6654-4871-0
DOIs
Publication statusPublished - Dec 2021
MoE publication typeA4 Article in a conference publication
EventIEEE Workshop on Applications of Signal Processing to Audio and Acoustics - Virtual, Online, New Paltz, United States
Duration: 17 Oct 202120 Oct 2021

Workshop

WorkshopIEEE Workshop on Applications of Signal Processing to Audio and Acoustics
Abbreviated titleWASPAA
Country/TerritoryUnited States
CityNew Paltz
Period17/10/202120/10/2021

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