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Quantized Pyramidal Beam Tracing - a New Algorithm for Room Acoustics and Noise Immission Prognosis

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Some ideas of a new room acoustical algorithm are outlined combining the advantages of three algorithms in one: the mirror image source method, the sound particle simulation method and the radiosity method. Transient carriers of energy are pyramidal beams ("pyrs") each representing a mirror image source which are split at each reflection or diffraction thereby giving their energy to new pyrs. Above a certain reflection order, the pyrs are quantized with respect to source position and solid angle. Their number is limited to an optimum. This Quantized Pyramidal Beam Tracing (QPBT) converges to an efficient time dependent radiosity method, being able to take reflections and diffractions of higher order into account but avoids the usually expected exponential increase in computation time. Applications concern not only room acoustics but also the field of noise immission prognosis in a free field. Some fundamental properties of the algorithm are discussed.
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Document Type: Research Article

Publication date: May 1, 1996

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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