Title :
Inversion of continued-fraction expansion revisited
Author_Institution :
AT&T Bell Labs., Middletown, NJ, USA
Abstract :
A recursive relation is developed that allows one to obtain a system function in terms of its continued-fraction inversion. The algorithm is based on the well-known Mason´s gain formula for signal-flow graphs, and it encompasses the multidimensional transfer functions. Using the general formula advanced here, Pade approximants of irrational functions can be obtained
Keywords :
multidimensional systems; recursive functions; signal flow graphs; transfer functions; Mason´s gain formula; Pade approximants; continued-fraction expansion; irrational functions; multidimensional transfer functions; recursive relation; signal-flow graphs; system function; Algebra; Application software; Artificial intelligence; Closed-form solution; Feedback loop; Gain; Genetic expression; Joining processes; Multidimensional systems; Transfer functions;
Conference_Titel :
Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-1760-2
DOI :
10.1109/MWSCAS.1993.343194
