钢琴弦振动谱分析及其音色重构

Spectrum Analysis of Piano String Vibration and Piano tamber reconstruction

本文从钢琴弦振动方程推导着手,通过傅立叶变换分析钢琴振动的时域频域特征以及影响其音色的要素,并提出一种基于加权柯西函数的方法,用计算机模拟钢琴演奏的音色。实验验证,这种频域的音色重构方法,不触发任何波表,更贴切地模仿了真实钢琴的音色。

This paper presents the vibration equation of piano string, analyzes the characters of piano string vibration in timedomain and frequency-domain by FFT analysis method and also illuminates the factors which influence the tone color of piano. Based on Cauchy function, the research of this paper can simulate the tamber of the piano by using computer. The result of the experiment shows that without any wavetable, this reconstruction in frequency-domain copies the tone color of piano more appropriately.