Reconstruction of quasi-stationary and wide-area sound field using compressive sensing with non-synchronous measurements

Sound field reconstruction techniques are effective for analyzing sound propagation and improving acoustic environments. To estimate sound fields efficiently, extrapolation methods based on compressive sensing have been proposed. However, their estimation accuracy tends to degrade as the distance from the microphones increases. Therefore, a large-scale microphone array is still required to ensure accurate estimation over a wide area. Recently, non-synchronous measurements have been explored for sound field reconstruction. This approach involves sequentially moving a single microphone array, allowing more measurement points to be acquired using a small-scale microphone array. In one such approach, non-synchronous signals are first interpolated using cross-spectral matrices, and the interpolated data are then applied to compressive sensing. However, when the spatial intervals between array positions are large, the accuracy of the interpolation decreases. In this study, we propose a method for reconstructing quasi-stationarysound fields using non-synchronous measurements and compressive sensing. The aim is to reconstruct wide-area sound fields from a small number of non-synchronous measurements. In this method, All non-synchronous signals are jointly modeled using a physical model. Work partially supported by Grant-in-Aid for JSPS Fellows Grant No. 25KJ2104 and Ono Charitable Trust for Acoustics.