Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case

A simulation of a musical instrument is considered to be a successful one when there is a good resemblance between the model’s synthesized sound and the real instrument’s sound. In this work, we propose the integration of physical modeling (PM) methods with an optimization process to regulate a gene...

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Main Authors: Konstantinos Bakogiannis, Spyros Polychronopoulos, Dimitra Marini, Georgios Kouroupetroglou
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/14/6426
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author Konstantinos Bakogiannis
Spyros Polychronopoulos
Dimitra Marini
Georgios Kouroupetroglou
author_facet Konstantinos Bakogiannis
Spyros Polychronopoulos
Dimitra Marini
Georgios Kouroupetroglou
author_sort Konstantinos Bakogiannis
collection DOAJ
description A simulation of a musical instrument is considered to be a successful one when there is a good resemblance between the model’s synthesized sound and the real instrument’s sound. In this work, we propose the integration of physical modeling (PM) methods with an optimization process to regulate a generated digital signal. Its goal is to find a new set of values of the PM’s parameters’ that would lead to a synthesized signal matching as much as possible to reference signals corresponding to the physical musical instrument. The reference signals can be: (a) described by their acoustic characteristics (e.g., fundamental frequencies, inharmonicity, etc.) and/or (b) the signals themselves (e.g., impedances, recordings, etc.). We put this method into practice for a commercial recorder, simulated using the digital waveguides’ PM technique. The reference signals, in our case, are the recorded signals of the physical instrument. The degree of similarity between the synthesized (PM) and the recorded signal (musical instrument) is calculated by the signals’ linear cross-correlation. Our results show that the adoption of the optimization process resulted in more realistic synthesized signals by (a) enhancing the degree of similarity between the synthesized and the recorded signal (the average absolute Pearson Correlation Coefficient increased from 0.13 to 0.67), (b) resolving mistuning issues (the average absolute deviation of the synthesized from the recorded signals’ pitches reduced from 40 cents to the non-noticeable level of 2 cents) and (c) similar sound color characteristics and matched overtones (the average absolute deviation of the synthesized from the recorded signals’ first five partials reduced from 41 cents to 2 cents).
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spelling doaj.art-3f559b43e9a84696820496420e7ad9652023-11-22T03:09:31ZengMDPI AGApplied Sciences2076-34172021-07-011114642610.3390/app11146426Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder CaseKonstantinos Bakogiannis0Spyros Polychronopoulos1Dimitra Marini2Georgios Kouroupetroglou3Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, GR-15784 Athens, GreeceDepartment of Informatics and Telecommunications, National and Kapodistrian University of Athens, GR-15784 Athens, GreeceDepartment of Informatics and Telecommunications, National and Kapodistrian University of Athens, GR-15784 Athens, GreeceDepartment of Informatics and Telecommunications, National and Kapodistrian University of Athens, GR-15784 Athens, GreeceA simulation of a musical instrument is considered to be a successful one when there is a good resemblance between the model’s synthesized sound and the real instrument’s sound. In this work, we propose the integration of physical modeling (PM) methods with an optimization process to regulate a generated digital signal. Its goal is to find a new set of values of the PM’s parameters’ that would lead to a synthesized signal matching as much as possible to reference signals corresponding to the physical musical instrument. The reference signals can be: (a) described by their acoustic characteristics (e.g., fundamental frequencies, inharmonicity, etc.) and/or (b) the signals themselves (e.g., impedances, recordings, etc.). We put this method into practice for a commercial recorder, simulated using the digital waveguides’ PM technique. The reference signals, in our case, are the recorded signals of the physical instrument. The degree of similarity between the synthesized (PM) and the recorded signal (musical instrument) is calculated by the signals’ linear cross-correlation. Our results show that the adoption of the optimization process resulted in more realistic synthesized signals by (a) enhancing the degree of similarity between the synthesized and the recorded signal (the average absolute Pearson Correlation Coefficient increased from 0.13 to 0.67), (b) resolving mistuning issues (the average absolute deviation of the synthesized from the recorded signals’ pitches reduced from 40 cents to the non-noticeable level of 2 cents) and (c) similar sound color characteristics and matched overtones (the average absolute deviation of the synthesized from the recorded signals’ first five partials reduced from 41 cents to 2 cents).https://www.mdpi.com/2076-3417/11/14/6426correlationmusical instrumentsoptimizationphysical modelingrecordertuning
spellingShingle Konstantinos Bakogiannis
Spyros Polychronopoulos
Dimitra Marini
Georgios Kouroupetroglou
Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
Applied Sciences
correlation
musical instruments
optimization
physical modeling
recorder
tuning
title Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
title_full Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
title_fullStr Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
title_full_unstemmed Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
title_short Audio Enhancement of Physical Models of Musical Instruments Using Optimal Correction Factors: The Recorder Case
title_sort audio enhancement of physical models of musical instruments using optimal correction factors the recorder case
topic correlation
musical instruments
optimization
physical modeling
recorder
tuning
url https://www.mdpi.com/2076-3417/11/14/6426
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AT dimitramarini audioenhancementofphysicalmodelsofmusicalinstrumentsusingoptimalcorrectionfactorstherecordercase
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