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Discrete simulation models for multidimensional systems based on functional transformations

A method for the discrete simulation of continuous multidimensional systems is presented. It is based on a transfer function description of the continuous system, which is obtained by application of appropriate functional transformations for each independent variable. Digital signal processing analog-to-discrete transformations turn the transfer function into a discrete simulation model. It is suitable for computer implementation and provides simulation algorithms, which are competitive with customary numerical methods. A comparison with a commercial software package demonstrates the advantage of the proposed simulation models.

Modelling Molecular Communication Channels by Modal Expansions

Non UBCUnreviewedAuthor affiliation: Friedrich-Alexander-Universitat Erlangen-Nurnberg (FAU)Facult

Transfer Function Models for Multidimensional Systems

. Multidimensional systems describe relations between signals depending on two or more independent variables, like time and space. They are also called distributed parameter systems. The only conventional model for their description are partial differential equations. This is in contrast to onedimensional (lumped parameter) systems, where a variety of different models including transfer functions is used. This paper extends the concept of transfer function models to multidimensional systems. They are useful for system analysis and as a starting point for the derivation of discrete simulation models. Introduction Continuous systems can be divided into systems with states depending on either one or more than one independent variables. In many physical and technical applications these are the time coordinate or the time and space coordinates. These systems are called one- and multidimensional systems, respectively. Onedimensional systems with time as the only independent variable are al..

Multidimensional System Simulation With Functional Transformations

The application of methods from multidimensional systems theory and digital signal processing opens new ways for the efficient simulation of time and space dependent problems like wave propagation or heat and mass transfer. The basic idea is the application of suitably chosen functional transformations for the time and space coordinates. Initial and boundary conditions are considered in a systematic way. This leads to the structure of a discrete system which closely models the behaviour of the given continuous system and which is suitable for computer implementation. Numerical results show considerable savings in computer time over conventional finite difference methods. 1. INTRODUCTION Problems which depend on continuous variables like time and space are generally modelled by differential equations. If the quantities in this model are considered as input and output signals, then such an idealized description is also called a continuous system. Purely time dependent problems are desc..