L1 regularized room modeling with compact microphone arrays

Acoustic room modeling has several applications. Recent results using large microphone arrays show good performance, and are helpful in many applications. For example, when designing a better acoustic treatment for a concert hall, these large arrays can be used to help map the acoustic environment and aid in the design. However, in real-time applications - including de-reverberation, sound source localization, speech enhancement and 3D audio - it is desirable to model the room with existing small arrays and existing loudspeakers. In this paper we propose a novel room modeling algorithm, which uses a constrained room model and ℓ₁-regularized least-squares to achieve good estimation of room geometry. We present experimental results on both real and synthetic data.