Buscando-se a aplicação prática da teoria de Wave Field Synthesis (WFS) na música, foi feita uma pesquisa visando à modelagem de um sistema de sonorização capaz de criar imagens sonoras espaciais com a utilização desta técnica. Diferentemente da maioria das outras técnicas de sonorização, que trabalham com uma região de escuta pequena e localizada, WFS permite projetar os sons de cada fonte sonora - como instrumentos musicais e vozes - em diferentes pontos do espaço de audição, em uma região de escuta que pode abranger quase toda a área compreendida por este espaço, dependendo da quantidade de alto-falantes instalados. O desenvolvimento de um código de estrutura modular para WFS foi baseado na plataforma orientada a patches Pure Data (Pd), e no sistema de auralização AUDIENCE, desenvolvido na USP, sendo integrável como ferramenta para espacialização sonora interativa. A solução emprega patches dinâmicos e uma arquitetura modular, permitindo flexibilidade e manutenabilidade do código, com vantagens frente a outros software existentes, particularmente na instalação, operação e para lidar com um número elevado de fontes sonoras e alto-falantes. Para este sistema também foram desenvolvidos alto-falantes especiais com características que facilitam seu uso em aplicações musicais. / Seeking the practical application of the theory of Wave Field Synthesis (WFS) in music, a research aimed at modeling a sound system capable of creating spatial sound images with the use of this technique was made. Unlike most other techniques for sound projection that work with a small, localized listening area, WFS allows projecting the sounds of each sound source - such as musical instruments and voices - at different points within the hearing space, in a region that can cover almost the entire area comprised by this space, depending on the amount of installed speakers. The development of a modular structured code for WFS was based on the patch-oriented platform Pure Data (Pd), and on the AUDIENCE auralization system developed at USP, and it is integrable as a tool for interactive sound spatialization. The solution employs dynamic patches and a modular architecture, allowing code flexibility and maintainability, with advantages compared to other existing software, particularly in the installation, operation and to handle a large number of sound sources and speakers. For this system special speakers with features that facilitate its use in musical applications were also developed.

Buscando-se a aplicação prática da teoria de Wave Field Synthesis (WFS) na música, foi feita uma pesquisa visando à modelagem de um sistema de sonorização capaz de criar imagens sonoras espaciais com a utilização desta técnica. Diferentemente da maioria das outras técnicas de sonorização, que trabalham com uma região de escuta pequena e localizada, WFS permite projetar os sons de cada fonte sonora - como instrumentos musicais e vozes - em diferentes pontos do espaço de audição, em uma região de escuta que pode abranger quase toda a área compreendida por este espaço, dependendo da quantidade de alto-falantes instalados. O desenvolvimento de um código de estrutura modular para WFS foi baseado na plataforma orientada a patches Pure Data (Pd), e no sistema de auralização AUDIENCE, desenvolvido na USP, sendo integrável como ferramenta para espacialização sonora interativa. A solução emprega patches dinâmicos e uma arquitetura modular, permitindo flexibilidade e manutenabilidade do código, com vantagens frente a outros software existentes, particularmente na instalação, operação e para lidar com um número elevado de fontes sonoras e alto-falantes. Para este sistema também foram desenvolvidos alto-falantes especiais com características que facilitam seu uso em aplicações musicais. / Seeking the practical application of the theory of Wave Field Synthesis (WFS) in music, a research aimed at modeling a sound system capable of creating spatial sound images with the use of this technique was made. Unlike most other techniques for sound projection that work with a small, localized listening area, WFS allows projecting the sounds of each sound source - such as musical instruments and voices - at different points within the hearing space, in a region that can cover almost the entire area comprised by this space, depending on the amount of installed speakers. The development of a modular structured code for WFS was based on the patch-oriented platform Pure Data (Pd), and on the AUDIENCE auralization system developed at USP, and it is integrable as a tool for interactive sound spatialization. The solution employs dynamic patches and a modular architecture, allowing code flexibility and maintainability, with advantages compared to other existing software, particularly in the installation, operation and to handle a large number of sound sources and speakers. For this system special speakers with features that facilitate its use in musical applications were also developed.

In this thesis a method to implement the radiation characteristics of musical instruments in wave field synthesis systems is developed. It is applied and tested in two loudspeaker systems.Because the loudspeaker systems have a comparably low number of loudspeakers the wave field is synthesized at discrete listening positions by solving a linear equation system. Thus, for every constellation of listening and source position all loudspeakers can be used for the synthesis. The calculations are done in spectral domain, denying sound propagation velocity at first. This approach causes artefacts in the loudspeaker signals and synthesis errors in the listening area which are compensated by means of psychoacoustic methods. With these methods the aliasing frequency is determined by the extent of the listening area whereas in other wave field synthesis systems it is determined by the distance of adjacent loudspeakers. Musical instruments are simplified as complex point sources to gain, store and propagate their radiation characteristics. This method is the basis of the newly developed “Radiation Method” which improves the matrix conditioning of the equation system and the precision of the wave field synthesis by implementing the radiation characteristics of the driven loudspeakers. In this work, the “Minimum Energy Method” — originally developed for acoustic holography — is applied for matters of wave field synthesis for the first time. It guarantees a robust solution and creates softer loudspeaker driving signals than the Radiation Method but yields a worse approximation of the wave field beyond the discrete listening positions. Psychoacoustic considerations allow for a successfull wave field synthesis: Integration times of the auditory system determine the spatial dimensions in which the wave field synthesis approach works despite different arrival times and directions of wave fronts. By separating the spectrum into frequency bands of the critical band width, masking effects are utilized to reduce the amount of calculations with hardly audible consequances. By applying the “Precedence Fade”, the precedence effect is used to manipulate the perceived source position and improve the reproduction of initial transients of notes. Based on Auditory Scene Analysis principles, “Fading Based Panning” creates precise phantom source positions between the actual loudspeaker positions. Physical measurements, simulations and listening tests prove evidence for the introduced methods and reveal their precision. Furthermore, results of the listening tests show that the perceived spaciousness of instrumental sound not necessarily goes along with distinctness of localization. The introduced methods are compatible to conventional multi channel audio systems as well as other wave field synthesis applications. / In dieser Arbeit wird eine Methode entwickelt, um die Abstrahlcharakteristik von Musikinstrumenten in Wellenfeldsynthesesystemen zu implementieren. Diese wird in zwei Lautsprechersystemen umgesetzt und getestet. Aufgrund der vergleichsweise geringen Anzahl an Lautsprechern wird das Schallfeld an diskreten Hörpositionen durch Lösung eines linearen Gleichungssystems resynthetisiert. Dadurch können für jede Konstellation aus Quellen- und Hörposition alle Lautsprecher für die Synthese verwendet werden. Hierzu wird zunächst in Frequenzebene, unter Vernachlässigung der Ausbreitungsgeschwindigkeit des Schalls gerechnet. Dieses Vorgehen sorgt für Artefakte im Schallsignal und Synthesefehler im Hörbereich, die durch psychoakustische Methoden kompensiert werden. Im Vergleich zu anderen Wellenfeldsyntheseverfahren wird bei diesem Vorgehen die Aliasingfrequenz durch die Größe des Hörbereichs und nicht durch den Lautsprecherabstand bestimmt. Musikinstrumente werden als komplexe Punktquellen vereinfacht, wodurch die Abstrahlung erfasst, gespeichert und in den Raum propagiert werden kann. Dieses Vorgehen ist auch die Basis der neu entwickelten “Radiation Method”, die durch Einbeziehung der Abstrahlcharakteristik der verwendeten Lautsprecher die Genauigkeit der Wellenfeldsynthese erhöht und die Konditionierung der Propagierungsmatrix des zu lösenden Gleichungssystems verbessert. In dieser Arbeit wird erstmals die für die akustische Holografie entwickelte “Minimum Energy Method” auf Wellenfeldsynthese angewandt. Sie garantiert eine robuste Lösung und erzeugt leisere Lautsprechersignale und somit mehr konstruktive Interferenz, approximiert das Schallfeld jenseits der diskreten Hörpositionen jedoch schlechter als die Radiation Method. Zahlreiche psychoakustische Überlegungen machen die Umsetzung der Wellenfeldsynthese möglich: Integrationszeiten des Gehörs bestimmen die räumlichen Dimensionen in der die Wellenfeldsynthesemethode — trotz der aus verschiedenen Richtungen und zu unterschiedlichen Zeitpunkten ankommenden Wellenfronten — funktioniert. Durch Teilung des Schallsignals in Frequenzbänder der kritischen Bandbreite wird unter Ausnutzung von Maskierungseffekten die Anzahl an nötigen Rechnungen mit kaum hörbaren Konsequenzen reduziert. Mit dem “Precedence Fade” wird der Präzedenzeffekt genutzt, um die wahrgenommene Schallquellenposition zu beeinflussen. Zudem wird dadurch die Reproduktion transienter Einschwingvorgänge verbessert. Auf Grundlage von Auditory Scene Analysis wird “Fading Based Panning” eingeführt, um darüber hinaus eine präzise Schallquellenlokalisation jenseits der Lautsprecherpositionen zu erzielen. Physikalische Messungen, Simulationen und Hörtests weisen nach, dass die neu eingeführten Methoden funktionieren und zeigen ihre Präzision auf. Auch zeigt sich, dass die wahrgenommene Räumlichkeit eines Instrumentenklangs nicht der Lokalisationssicherheit entspricht. Die eingeführten Methoden sind kompatibel mit konventionellen Mehrkanal-Audiosystemen sowie mit anderen Wellenfeldsynthesesystemen.

L'objectif de ce travail de thèse est la conception d'un système de haut-parleurs transportable, capable de générer un champ sonore prédéfini et focalisé avec un contraste spatial élevé. Ce système doit permettre à terme d'effectuer différents types d'études, par exemple des essais de transparence acoustique ou encore des essais vibratoires en conditions non-anéchoïques. La minimisation du nombre de canaux à piloter ainsi que du nombre des transducteurs est l'un des enjeux principaux du travail. Le choix du nombre de sources et la sélection de leurs positions optimales afin de générer un champ acoustique cible n'a pas de solution triviale. Pour répondre à cette question, la méthode proposée se base sur la décomposition du rayonnement d’une source en série de fonctions orthogonales indépendantes (les"modes de rayonnement"), construits numériquement via une décomposition en valeurs singulières de la matrice d'impédance. En filtrant les termes évanescents, le champ lointain peut être reconstruit à l'aide d'un faible nombre de termes. De plus, la méthode permet d'estimer une distribution de débit efficace pour générer le champ cible. La méthode proposée étant relativement peu étudiée dans la littérature, la première partie de la thèse a été consacrée au problème de la validation expérimentale de la méthode directe et à l'étude des principaux paramètres en influençant le résultat. La problématique du positionnement des sources permettant de synthétiser un champ sonore prédéfini et focalisé est abordée dans la deuxième partie du travail. / The goal of this thesis is the design of a transportable speaker system, able to generate a predefined and focused sound field with a high spatial contrast. This system has eventually to allow carrying out different types of studies, for example acoustic transmission loss tests or vibration tests in non-anechoic conditions. The minimization of the number of driven channels and the number of transducers is one of the main goals of the work. The choice of the number of sources and the selection of their optimal positions in order to generate a target acoustic field has no trivial solution. To answer this question, the proposed method is based on the decomposition of the source radiation into a series of independent orthogonal functions (the "radiation modes"), constructed numerically via a singular value decomposition of the impedance matrix. By filtering the evanescent terms, the far field can be reconstructed using a small number of terms. In addition, the method allows the estimation of an efficient flow distribution to generate the target field. With the proposed method having been scarcely studied in the literature, the first part of the thesis is devoted to the problem of the experimental validation of the direct method and the study of the main parameters that are influencing the result. The problem of sources positioning in order to synthesize a predefined and focused sound field is discussed in the second part of the thesis.