Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Conditioning of the Spherical Harmonic Matrix for Spatial Audio
  Applications   In this paper, we attempt to study the conditioning of the Spherical Harmonic
Matrix (SHM), which is widely used in the discrete, limited order orthogonal
representation of sound fields. SHM's has been widely used in the audio
applications like spatial sound reproduction using loudspeakers, orthogonal
representation of Head Related Transfer Functions (HRTFs) etc. The conditioning
behaviour of the SHM depends on the sampling positions chosen in the 3D space.
Identification of the optimal sampling points in the continuous 3D space that
results in a well-conditioned SHM for any number of sampling points is a highly
challenging task. In this work, an attempt has been made to solve a discrete
version of the above problem using optimization based techniques. The discrete
problem is, to identify the optimal sampling points from a discrete set of
densely sampled positions of the 3D space, that minimizes the condition number
of SHM. This method has been subsequently utilized for identifying the geometry
of loudspeakers in the spatial sound reproduction, and in the selection of
spatial sampling configurations for HRTF measurement. The application specific
requirements have been formulated as additional constraints of the optimization
problem. Recently developed mixed-integer optimization solvers have been used
in solving the formulated problem. The performance of the obtained sampling
position in each application is compared with the existing configurations.
Objective measures like condition number, D-measure, and spectral distortion
are used to study the performance of the sampling configurations resulting from
the proposed and the existing methods. It is observed that the proposed
solution is able to find the sampling points that results in a better
conditioned SHM and also maintains all the application specific requirements.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an