Analysis of Spectral and Temporal Waveforms of Piano-String Vibration
It is difficult to analyze the sound from vibrating piano strings because the harmonics are not pure harmonics of the fundamental. Both time and frequency perspectives are required, especially since the initial transient produced by the hammer is a critically important part of the sound. A cluster line spectrum model (CLSM) appears to adequately capture the decay but a cluster time-sequence model (CTSM) is required to analyze the initial transient. The sound source characteristic of the piano string was revealed by using a direct estimate by CTSM.
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