A robust sparse approach to acoustic impulse response shaping

Impulse response shaping is a technique for partly equalizing impulse responses. In acoustics, it can be used for the reproduction of audio signals mitigated by distortions in a room. The most significant phenomenon among the distortions is reverberation, a straightforward characterization of which is the room impulse response. Room responses can be characterized but could contain measurement errors or noise. In addition, room responses vary with changes in atmospheric conditions such as temperature and humidity and also due to change in positions inside a room. The design of a shaping filter robust to at least some of these variations is likely to be very useful, which is considered in this work. The method uses a computationally efficient approach based on Basis Pursuit DeNoising (BPDN).