As the efficiency of computing has increased and new numerical methods have become worldwide, modeling and analysis of musical instruments and sound synthesis have developed rapidly. One of these methods is the waveguide method, which has allowed me to create a discrete time model representing the two way wave propagation in the trumpet tube using delay and reflection elements.
It is neccessary to acquire the knowledge of the physical and musical behavior of the trumpet and waveguide modeling. These have allowed me to create my own trumpet model with the requisite additions: the diameter changes of the body of the instrument, the radiation impedance and also the reflection. I have investigated the inaccuracy of the model, and made time and frequency domain analyses. I have paid elevated attention to the input impedance and the inharmonicity of the model, which characterizes the quality of the trumpet’s sound. I have investigated the effects of the valves on the trumpet’s physical parameters and working mechanism. Finally, I have compared my results with the literatures’. I have paid attention to a theoretical background of modeling the blowing pressure.
The published methods and results of this paper can result in a better understanding of the behavior of the trumpet and creating the physical model-based sound synthesis.