### Abstract

A computationally simple algorithm for the inversion of multidimensional (mD) continued fraction expansions is presented. The approach is based on the interpretation of an mD continued fraction expansion as a driving-point admittance. To facilitate the inversion procedure a cyclic function T_{i}(z_{1}, z_{2}, ..., z_{m}) is introduced. Several examples are given for inverting 3-D and 4-D systems to illustrate the efficiency of the algorithm.

Original language | English |
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Pages (from-to) | 307-312 |

Number of pages | 6 |

Journal | IEE proceedings. Part G. Electronic circuits and systems |

Volume | 136 |

Issue number | 6 |

State | Published - 1 Dec 1989 |

## Cite this

Antoniou, G. E., Varoufakis, S. J., & Paraskevopoulos, P. N. (1989). Multidimensional continued fraction inversion.

*IEE proceedings. Part G. Electronic circuits and systems*,*136*(6), 307-312.