Damping-Filter DesignIn , the damping in real piano strings was modeled using a length 17 FIR filter for the lowest strings, and a length 9 FIR filter for the remaining strings. Such FIR filters (or nonparametric measured frequency-response data) can be converted to lower-order IIR filters by the usual methods (§8.6.2). It is convenient to have separate damping and dispersion filters in the string model. The damping filter in piano strings is significantly less demanding than the dispersion filter.
Piano String Wave Equation