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Dissertation zugänglich unter
URN: urn:nbn:de:gbv:18-79563
URL: http://ediss.sub.uni-hamburg.de/volltexte/2016/7956/


Physical model real-time auralisation of musical instruments : analysis and synthesis

Physical Model Echtzeit Auralisation von Musikinstrumenten : Analyse und Synthese

Pfeifle, Florian

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 Dokument 1.pdf (16.096 KB) 


SWD-Schlagwörter: Field programmable gate array , Akustik , Musikwissenschaft , Synthese
Freie Schlagwörter (Deutsch): Organologie , Akustische Messungen , Echtzeit Synthese
Freie Schlagwörter (Englisch): Organology , Acoustic Measurements , Real-Time Synthesis
Basisklassifikation: 24.49
Institut: Kulturgeschichte und Kulturkunde
DDC-Sachgruppe: Musik
Dokumentart: Dissertation
Hauptberichter: Bader, Rolf (Prof. Dr.)
Sprache: Englisch
Tag der mündlichen Prüfung: 07.07.2014
Erstellungsjahr: 2016
Publikationsdatum: 21.07.2016
Kurzfassung auf Englisch: Physical modelling is a widely applied method for researching acoustical
properties of musical instruments. In recent years the ever rising
computational power of standard personal computers and the accessibility of
dedicated accelerating hardware has fuelled manifold developments in this field
of research. Most physics based methods that directly solve the underlying
differential equations have the severe drawback of a high computational cost,
so many simplifications of the physical models are proposed and utilised to
make physical schemes faster or capable of real-time. But, with simpler
descriptions of the modelled instruments, less information about the actual
physical behaviour can be gained from the model. This, in turn, directly
influences the sound quality of the physical model. A method that could retain
high structural accuracy while being capable of calculating and synthesizing
instrument models in real-time would be highly beneficial for several reasons:

a) For musicological research of the influence of physical parameters on the
timbre and the radiated sound of the instrument.
b) For instrument makers who could test the influence of geometrical alterations
on the vibrational behaviour of the respective instrument without the
time delay of crafting a new instrument.
c) For musicians who are interested in physics based synthesis of musical instruments.
d) For composers who want to compose and perform music for a new class of instruments with
changeable geometrical features in real-time. (Imagine a piano that can be
manipulated in size while playing.)


This thesis presents a methodology and working implementation of
real-time physical models of four musical instruments. The models are developed
by using measurements taken on real instruments as a basis and implementing all
acoustically relevant parts of the instruments in software and hardware. The
physical models are computed using symplectic and multi-symplectic time
integration methods iterating Newton's equation of motion in time. All models
are implemented in C/MATLAB and on Field Programmable Gate Array Hardware. The
final instrument models can be controlled from a Graphical User Interface
running on a standard PC.

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