### Abstract

In this paper, the convergence properties of linearly stable multi-dimensional systems are investigated for the case of delta-operator implementations in fixed-point format. It is shown that zero-convergence is almost never achieved, if the sampling time is small. Using a one-dimensional analysis, it is demonstrated that zero-convergence cannot be guaranteed along the axis of the first hyper-quadrant for a first hyper-quadrant causal system. This limits the use of delta-operators for solving partial differential equations in discrete time with fixed-point arithmetic.

Original language | English (US) |
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Title of host publication | Conference Proceedings - IEEE SOUTHEASTCON |

Publisher | Publ by IEEE |

Pages | 26-29 |

Number of pages | 4 |

ISBN (Print) | 078031798X |

State | Published - Jan 1 1994 |

Externally published | Yes |

Event | Proceedings of the IEEE SOUTHEASTCON '94 - Miami, FL, USA Duration: Apr 10 1994 → Apr 13 1994 |

### Publication series

Name | Conference Proceedings - IEEE SOUTHEASTCON |
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ISSN (Print) | 0734-7502 |

### Other

Other | Proceedings of the IEEE SOUTHEASTCON '94 |
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City | Miami, FL, USA |

Period | 4/10/94 → 4/13/94 |

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

Bauer, P. H., & Premaratne, K. (1994). Fixed-point implementation of multi-dimensional delta-operator formulated discrete-time systems: difficulties in convergence. In

*Conference Proceedings - IEEE SOUTHEASTCON*(pp. 26-29). (Conference Proceedings - IEEE SOUTHEASTCON). Publ by IEEE.