Removal of afterglow effects in 2-D discrete-time room acoustics simulations

In some problems, acoustic wave propagation in enclosures is simulated by using discrete-time methods. However, 3-D simulations are often too expensive in terms of computational resources, and proposals exist for extrapolating results from simulations conducted in equivalent 2-D scenarios. It is known that the propagation of a point-like impulse in 2-D exhibits the so-called afterglow effect, which consists of the fact that non-null field values are measured after the arrival of the first wavefront. In this letter a general minimum-phase filter to compensate for the afterglow effect in 2-D simulations in scenarios with boundary conditions using discrete-time methods is derived.