Title :
Multidimensional continued fraction inversion
Author :
Antoniou, G.E. ; Varoufakis, S.J. ; Paraskevopoulos, P.N.
Author_Institution :
Dept. of Electr. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
fDate :
12/1/1989 12:00:00 AM
Abstract :
A computationally simple algorithm for the inversion of multidimensional continued fraction expansions (mDCFE) is presented. The approach is based on the interpretation of an mDCFE as a driving-point admittance. To facilitate the inversion procedure a cyclic function Ti(z1, z2, . . , zm) is introduced. Several examples are given for inverting 3-D and 4-D systems to illustrate the efficiency of the algorithm.
Keywords :
matrix algebra; multidimensional digital filters; multidimensional systems; transfer functions; 3D systems; 4D systems; computationally simple algorithm; continued fraction inversion; cyclic function; driving-point admittance; inversion procedure; multidimensional continued fraction expansions; transfer function; two-port network theory;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings G
