Theoretical Analysis of Quality of Conventional Beamforming for Phased Microphone Arrays
CoRR(2024)
Abstract
A theoretical study is performed to analyze the directional response of
different types of microphone array designs. 1-D (linear) and 2-D (planar)
microphone array types are considered, and the delay and sum beamforming and
conventional beamforming techniques are employed to localize the sound source.
A non-dimensional parameter, G, is characterized to simplify and standardize
the rejection performance of both 1-D and 2-D microphone arrays as a function
of array geometry and sound source parameters. This parameter G is then used to
determine an improved design of a 2-D microphone array for far-field sound
localization. One such design, termed the Equi-area array is introduced and
analyzed in detail. The design is shown to have an advantageous rejection
performance compared to other conventionally used 2-D planar microphone arrays.
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