A Unified Approach to Generating Sound Zones Using Variable Span Linear Filters

Sound zones are typically created using Acoustic Contrast Control (ACC), Pressure Matching (PM), or variations of the two. ACC maximizes the acoustic potential energy contrast between a listening zone and a quiet zone. Although the contrast is maximized, the phase is not controlled. To control both the amplitude and the phase, PM instead minimizes the difference between the reproduced sound field and the desired sound field in all zones. On the surface, ACC and PM seem to control sound fields differently, but we here demonstrate they are actually extreme special cases of a much more general framework. The framework is inspired by the variable span linear filtering framework for speech enhancement. Using this framework, we demonstrate that 1) ACC gives the best contrast, but the highest signal distortion in the bright zone, and 2) PM gives the smallest signal distortion in the bright zone, but the worst contrast. Aside from showing this mathematically, we also demonstrate this via a small toy example.