Estimation of loop filter coefficient for the silk stringed instruments.

It is very important to represent an exact attenuation of a sound in a physical modeling of the plucked string instruments. Vlimki et al. proposed a simple one‐pole low‐pass filter called loop filter to depict the attenuation of the sound in the extended KS algorithm. In order to estimate the filter coefficient, attenuations and gains of each harmonic are measured and calculated, respectively. The coefficient can be obtained by using the mean squared error between magnitude response of the filter and the gains of each harmonic. In this case, unlike steel stringed instruments, the accuracy of filter coefficient estimation for the silk stringed instruments depends entirely upon choosing the specific region of the recorded sound. In this paper, 84 different notes of the silk stringed instrument called Gayageum, Korean traditional plucked‐string instrument, were recorded, and estimation of filter coefficient was performed for the following regions: entire, decay, sustain, and RT1 (reverberation time) region. The estimation results were good in order of decay, RT1, sustain, and entire region. Especially, the performance for the decay region was very good. [This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MEST) (No. R01‐2008‐000‐20493‐0).]