### 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 |

### Fingerprint

### Keywords

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

### Cite this

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

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

**A review on the minimal state space realization for a class of N-D discrete time lossless bounded real functions.** / Antoniou, George; Mastorakis, Nikos.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

TY - CHAP

T1 - A review on the minimal state space realization for a class of N-D discrete time lossless bounded real functions

AU - Antoniou, George

AU - Mastorakis, Nikos

PY - 2001/12/1

Y1 - 2001/12/1

N2 - 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.

AB - 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.

KW - Circuit theory

KW - Lossless bounded real functions

KW - Multidimensional systems

KW - Realization

KW - State space

UR - http://www.scopus.com/inward/record.url?scp=4944237259&partnerID=8YFLogxK

M3 - Chapter

SN - 9608052262

SP - 77

EP - 81

BT - Advances in Neural Networks and Applications

PB - World Scientific and Engineering Academy and Society

ER -