Analysis and Synthesis of Coupled Vibrating Strings Using a Hybrid Modal-Waveguide Synthesis Model

The linear coupling of two strings or of a single string vibrating in two orthogonal polarizations leads to two observable phenomena: two-stage decay and beating. In this paper, we present methods for accurately measuring and modeling the lower partials of a recorded guitar tone, where coupling effects are most audible. These estimated parameters are then used for accurate resynthesis in a hybrid modal/waveguide model. We make use of the fact that two-stage decay occurs in analyzed tones to allow direct measurement of sinusoidal decay rates. A traditional iterative optimization algorithm is explored and found to be most effective in the special case when only beating occurs. Sound examples are provided on the Web.

[1]  Julius O. Smith,et al.  Physical Modeling Using Digital Waveguides , 1992 .

[2]  Gabriel Weinreich,et al.  Coupled piano strings , 1977 .

[3]  Jean Laroche,et al.  Multichannel excitation/filter modeling of percussive sounds with application to the piano , 1994, IEEE Trans. Speech Audio Process..

[4]  Matti Karjalainen,et al.  Estimation of Modal Decay Parameters from Noisy Response Measurements , 2002 .

[5]  Matti Karjalainen,et al.  Efficient physics-based sound synthesis of the piano using DSP methods , 2000, 2000 10th European Signal Processing Conference.

[6]  Richard Kronland-Martinet,et al.  Resynthesis of Coupled Piano String Vibrations Based on Physical Modeling , 2001 .

[7]  James A. Moorer,et al.  The Use of the Phase Vocoder in Computer Music Applications , 1976 .

[8]  Matti Karjalainen,et al.  Modeling of tension modulation nonlinearity in plucked strings , 2000, IEEE Trans. Speech Audio Process..

[9]  Vesa Välimäki,et al.  Canceling and Selecting Partials from Musical Tones Using Fractional-Delay Filters , 2008, Computer Music Journal.

[10]  Jean-Marie Adrien,et al.  The missing link: modal synthesis , 1991 .

[11]  Jukka Rauhala.  THE BEATING EQUALIZER AND ITS APPLICATION TO THE SYNTHESIS AND MODIFICATION OF PIANO TONES , 2007 .

[12]  Smith,et al.  Physical audio signal processing : for virtual musical instruments and audio effects , 2010 .

[13]  Balázs Bank.  Physics-Based Sound Synthesis of the Piano , 2000 .

[14]  Vesa Välimäki,et al.  Physical Modeling of Plucked String Instruments with Application to Real-Time Sound Synthesis , 1996 .

[15]  James M. Anderson,et al.  Measurements of nonlinear effects in a driven vibrating wire , 1994 .

[16]  Stanford,et al.  MEASURING AND UNDERSTANDING THE GYPSY GUITAR , .

[17]  Julius O. Smith,et al.  Efficient Synthesis of Stringed Musical Instruments , 1993, ICMC.

[18]  Alvin Wen-Yu Su,et al.  A Multichannel Recurrent Network Analysis/Synthesis Model for Coupled-String Instruments , 2006, IEEE Transactions on Audio, Speech, and Language Processing.

[19]  Vesa Välimäki,et al.  A Parametric Piano Synthesizer , 2008, Computer Music Journal.

[20]  Matti Karjalainen,et al.  Acoustical analysis and model-based sound synthesis of the kantele. , 2002, The Journal of the Acoustical Society of America.

[21]  J.A. Moorer,et al.  Signal processing aspects of computer music: A survey , 1977, Proceedings of the IEEE.

[22]  S. Schwerman,et al.  The Physics of Musical Instruments , 1991 .

[23]  Matti Karjalainen,et al.  Analysis, modeling, and real-time sound synthesis of the kantele, a traditional Finnish string instrument , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.