Title : 
A modular approach to multidimensional wave digital modeling of passive PDEs
         
        
            Author : 
Leuer, Christiane ; Ochs, Karlheinz
         
        
            Author_Institution : 
Dept. of Commun. Eng., Ruhr-Univ. Bochum, Bochum, Germany
         
        
        
        
        
            Abstract : 
In order to emulate a passive physical system with the wave digital concept, one has to find a reference circuit that is not only internally multidimensionally passive, but also suited for an element-wise transfer into a realizable and efficient wave digital structure. We present a modular approach that systemizes the derivation of an optimized reference circuit for a special class of linear hyperbolic PDEs. As an illustrative example, we deduce a wave digital structure for Navier´s equation from linear elastodynamics.
         
        
            Keywords : 
elastodynamics; multidimensional signal processing; partial differential equations; Navier equation; linear elastodynamic; linear hyperbolic PDE; multidimensional wave digital modeling; passive PDE; Circuit synthesis; Digital filters; Digital signal processing; Elastodynamics; Emulation; Inductance; Multidimensional systems; Robust stability; Signal processing algorithms; Symmetric matrices;
         
        
        
        
            Conference_Titel : 
Circuits and Systems (MWSCAS), 2010 53rd IEEE International Midwest Symposium on
         
        
            Conference_Location : 
Seattle, WA
         
        
        
            Print_ISBN : 
978-1-4244-7771-5
         
        
        
            DOI : 
10.1109/MWSCAS.2010.5548837