Sound Field Reconstruction at Low Frequencies

This lecture covers the reconstruction of sound fields at low frequencies in rooms, focusing on room modes, wave solutions, distributions in space and frequency, modal decomposition, modeshapes approximation, and the numerical validation of the reconstruction framework. The instructor discusses the importance of understanding room acoustics, the challenges of reconstruction, and the sparsity properties of room acoustics. Various methods for modal identification and the use of low-rank approximation are explored to reconstruct sound fields accurately. The lecture concludes with a demonstration of the reconstruction framework's validity in non-rectangular rooms.