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Journal of Information Science and Engineering, Vol. 20 No. 6, pp. 1161-1182 (November 2004)

Modeling and Analysis of Acoustic Musical Strings Using Kelly-Lochbaum Lattice Networks

Sheng-Fu Liang and Alvin W. Y. Su*
Department of Electrical and Control Engineering
National Chiao Tung University
Hsinchu, 300 Taiwan
*Department of Computer Science and Information Engineering
National Cheng Kung University
Tainan, 701 Taiwan

Musical strings play important roles in the timbre of a stringed instrument. An instrument installed with different strings can produce very different sounds. To model a plucked-string instrument physically, analyzing its strings may be a good starting point. In this paper, a novel strategy for the modeling and analysis of acoustic musical strings is proposed. In order to obtain the vibration of an acoustic string, a measurement device with multiple sets of electromagnetic pickups is built. A recurrent network based on the Kelly-Lochbaum structure with multiple sets of system parameters is proposed to simulate the time-varying vibrating behavior of a target string. A fast training algorithm combining BPTT and SARPROP is also proposed to train the network automatically. The well-trained recurrent network based model can be regarded as a close simulation model of a real string, and using the model, it becomes easier to understand the characteristics of a string under different conditions when it vibrates.

Keywords: musical strings, plucked-string instruments, recurrent network, Kelly- Lochbaum structure, physical modeling

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Received October 29, 2001; revised May 29, 2003; accepted Septemmber 15, 2003.
Communicated by Liang-Gee Chen.