Recently, the generation of personalized sound zones using loudspeaker arrays has gained considerable attention, with potential applications in public environments such as museums and amusement parks. A key research direction involves enabling real-time tracking of listeners through spatially moving sound zones. Conventionally, the Spectral Division Method (SDM), based on the spatial Fourier transform, and the Wave Field Synthesis (WFS), employing inverse wave propagator, have been extended for the sound zone generation. However, these techniques derive analytical driving functions only in the wavenumber or the frequency domain, necessitating the use of the inverse spatial Fourier transform (ISFT) to obtain time-domain driving signals. Generally, ISFT is computed through the inverse discrete Fourier transform (DFT), which imposes constraints on the minimum frame size, thereby significantly hindering real-time implementation. To address this issue, we propose a method to analytically derive time-domain driving functions for both SDM and WFS by applying the stationary phase approximation to ISFT. The proposed method is compared against conventional DFT-based methods through numerical simulations, with performance assessed in terms of computational efficiency and sound pressure suppression. The results demonstrate that the proposed method achieves comparable sound pressure suppression performance while allowing for real-time signal processing. Work supported by Lada inc.
Goshima et al. (Wed,) studied this question.
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