Typical results by the phased beam tracing simulation. (a) Pressure reflectogram and (b) steady-state transfer function.
A schematic two-dimensional presentation of the sound propagation within an enclosure. In the left, an extended source radiates the sound, of which the surface is comprised of segmental areas. The surface pressure at the segment is expressed as . Then, an array of sensors receives the direct and the reflected sounds. Here, denotes the travel distance of the reflection and represents the reflection coefficient at the wall.
An illustration for the sound power estimation. First, transfer functions are calculated and then backward reconstruction of the source pressure is carried out. With the estimated source pressure, the sound power of the source is calculated according to ISO 3745.
Room and source model. (a) Icosahedron source, (b) cubic source, and (c) parallelepiped room. Locations of 96 candidates field points are shown as ∘, whereas the symbol denotes the source location.
Locations of 20 field points. (a) Field point set 1, (b) field point set 2, and (c) field point set 3.
Error histograms of the reconstructed source pressures without regularization. (a) Field point set 1, (b) field point set 2, and (c) field point set 3.
Error histograms of the reconstructed source pressures with the modified Tikhonov regularization method. (a) Field point set 1, (b) field point set 2, and (c) field point set 3.
Absorption coefficients of the room surfaces.
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