Title :
Multidimensional system simulation with functional transformations
Author :
Rabenstein, Rudolf
Author_Institution :
Lehrstuhl fur Nachrichtentech., Erlangen-Nurnberg Univ., Germany
Abstract :
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
Keywords :
continuous time filters; digital simulation; discrete time filters; frequency-domain analysis; functional equations; heat transfer; multidimensional digital filters; transforms; boundary conditions; computer implementation; computer time; continuous system; discrete system; functional transformations; heat transfer; initial conditions; mass transfer; multidimensional system simulation; space coordinates; space dependent problems; time coordinates; time dependent problems; wave propagation; Application software; Boundary conditions; Continuous time systems; Delay; Differential equations; Digital signal processing; Finite difference methods; Heat transfer; Multidimensional systems; Space heating;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.547760
