To obtain a stable sound localization on the TV display, the use of a loudspeaker array set on the frame of the display may be a solution. However, the frequency response and the shape of the wave front reproduced by the array sometimes deteriorate. This is because the wave field synthesis with Rayleigh integrals may not be effective in the absence of a secondary source on the display. In this study we use the Rayleigh I integral to calculate input signals of the loudspeakers and introduce weighting coefficients for the signals to alleviate the deterioration. Error functions are defined to scale such deterioration and minimized by the simulated annealing. As the result, the frequency response and the wave surface were improved regardless of the virtual source position.
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