  A sound field reproduction method called weighted pressure matching is
proposed. Sound field reproduction is aimed at synthesizing the desired sound
field using multiple loudspeakers inside a target region. Optimization-based
methods are derived from the minimization of errors between synthesized and
desired sound fields, which enable the use of an arbitrary array geometry in
contrast with integral-equation-based methods. Pressure matching is widely used
in the optimization-based sound field reproduction methods because of its
simplicity of implementation. Its cost function is defined as the synthesis
errors at multiple control points inside the target region; then, the driving
signals of the loudspeakers are obtained by solving a least-squares problem.
However, in pressure matching, the region between the control points is not
taken into consideration. We define the cost function as the regional
integration of the synthesis error over the target region. On the basis of the
kernel interpolation of the sound field, this cost function is represented as
the weighted square error of the synthesized pressures at the control points.
Experimental results indicate that the proposed weighted pressure matching
outperforms conventional pressure matching.
