### Abstract

A review on the minimal state space realizations for a clews of N-Dimensional (N-D) discrete - time lossless bounded real functions is presented. Initially the minimal representation is derived from the circuit representation which in fact has minimum number of delay elements and is a particular form of N-D lattice filters. The corresponding transfer functions are characterized by the all-pass filter property.

Original language | English |
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Title of host publication | Advances in Neural Networks and Applications |

Publisher | World Scientific and Engineering Academy and Society |

Pages | 77-81 |

Number of pages | 5 |

ISBN (Print) | 9608052262 |

State | Published - 1 Dec 2001 |

### Keywords

- Circuit theory
- Lossless bounded real functions
- Multidimensional systems
- Realization
- State space

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## Cite this

Antoniou, G., & Mastorakis, N. (2001). A review on the minimal state space realization for a class of N-D discrete time lossless bounded real functions. In

*Advances in Neural Networks and Applications*(pp. 77-81). World Scientific and Engineering Academy and Society.