Outline

A discretization scheme for the single reed model is proposed.

• Delay-free, non computable loops in the discrete system are solved without introducing approximations (fictitious delay elements).
• The proposed numerical method is such that the physical properties of the continuous system are accurately preserved in the digital domain.
• The discrete system has good properties of stability at any sampling rate.
• The numerical scheme can be efficiently implemented.
• The techniques are widely applicable (e.g. other fluid-mechanical systems such as lip reed models or multiple-mass models for the glottis).

1. The model: mechanical and fluid dynamical equations for the exciter and the resonator.
2. Discretization: the K method, the 1-step Weighted Sample method.
3. The digital reed: frequency and time domain analysis.