Bayesian model selection and parameter estimation are used to address the problem of choosing the most concise filter order for a given application while simultaneously determining the associated filter coefficients. This approach is validated against simulated data and used to generate pole-zero representations of head-related transfer functions.

Due to high computational costs, the physics governed by the wave equation in 3-D is often modelled via discrete-time numerical simulations conducted in 2-D scenarios. Results are normally generalized to 3-D rather straightforwardly, overlooking the fact that the propagation of a point-like impulse in 2-D exhibits the so-called afterglow phenomenon, which consists on the fact that non-null field values are measured after the arrival of the first wavefront. This letter analyzes the consequences of this phenomenon, both theoretically and numerically, and presents a simple method to compensate for it. Verification of this method is presented using various discrete-time numerical schemes.

Block-based physical modeling is one of the most promising methods for digital sound synthesis. This technique proposes to model and discretize each instrument element separately and then, to implement their interaction. In this paper, the use of the linear bicharacteristic scheme (LBS) or upwind leapfrog is proposed for digital sound synthesis of string instruments. It provides an efficient and accurate alternative stencil to the classical leapfrog scheme of the finite difference time domain (FDTD) method. Moreover, the conversion of dependent wave equation variables into characteristic variables makes this method suitable to interact with wave digital filter models and others paradigms. This technique is extensively presented and finally justified with some examples

Block-based physical modeling algorithms for sound synthesis have gained more and more interest in the past few years. They have the advantage that new models can be created by combining existing blocks and they offer the opportunity to combine different modeling techniques. We propose a general approach to creating physical models in blocks and how to connect these blocks assuring their correct physical interaction. Furthermore, we show how to implement the interconnection of these models with wave digital filter principles. The complete procedure is applied to the example application scenario of the one-dimensional wave equation. Three different modeling techniques are used. One part is implemented with a finite difference time domain approach, one with the functional transformation method, and the boundaries are implemented by wave digital filters.