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为研究传统笙的物理结构与音色之间的关系,提出了传统笙的物理模型及声音合成方法。在簧舌振动模型的基础上,结合指孔和音窗的传输矩阵计算方法,建立了笙管的等效电路,并将二者结合,得到笙的完整物理模型。为了验证模型的有效性,设计了一套笙的实验系统,实现了对笙管发声过程中特征量的多通道同步测量。通过对比实验和模型仿真结果的时频域特点以及与音色相关的特征量,分析了模型的性能.结果表明,该模型可较好地模拟传统笙管的发声过程,合成笙样本能够较准确的反映真实笙样本的音色特征。
In order to study the relationship between the traditional physical structure and the sound color, the traditional physical model and sound synthesis method are proposed. Based on the vibration model of the tongue and the calculation of transmission matrix of the finger hole and the sound window, an equivalent circuit of the Sheng pipe is established, and the two are combined to obtain the complete physical model of the Sheng pipe. In order to verify the validity of the model, a set of Sheng experimental system was designed to realize the multi-channel synchronous measurement of the characteristic quantity during the sounding of Sheng pipe. The performance of the model is analyzed by comparing the time-frequency characteristics of the experimental and model simulation results with the characteristic quantities related to timbre.The results show that the model can simulate the sounding process of the traditional Sheng pipe well, and the synthetic Sheng sample can be more accurate Tone characteristics that reflect the real Sheng sample.