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The Reflection Map: A New Tool for Frequency to Time Domain Study of 1D Acoustical Systems

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The time domain determination of the impulse response, or the reflection function of an acoustical system from data expressed in the frequency domain, is not immediate. Signal processing from frequency domain to time domain may involve non physical phenomena of large amplitude as unphysical oscillations known as "ripple". Signal processing techniques based on filtering in the frequency domain are often used to limit or remove this ripple. These techniques involve modifications on the original data and on the resulting time domain function. The aim of this study is to present a new tool to avoid such modifications: The reflection map. Its use combined with a new observable directly obtained from the reflection function, the integrated squared reflection function, allows a minimization of the ripple phenomenon that we show is impossible to eliminate except for a cylindrical tube.
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Document Type: Research Article

Publication date: September 1, 2009

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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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