### Abstract

Downsampling is the process of reducing the sampling rate of a discrete signal. It has many applications in image processing, audio, radar etc. The reduction factor of the sampling rate can be an integer or a rational greater than one. This paper describes how sampled data system theory can be used to design an L2/L∞ optimal downsampler which reduces the sampling rate by an positive integer factor M from a given fast sampler sampling at h′ = h/M.

Original language | Undefined |
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Title of host publication | Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems |

Place of Publication | Melbourne |

Publisher | Think Business Events |

Pages | 215 |

Number of pages | 8 |

ISBN (Print) | 978-0-646-58062-3 |

Publication status | Published - Jul 2012 |

Event | 20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012 - Melbourne, Australia Duration: 9 Jul 2012 → 13 Jul 2012 Conference number: 20 |

### Publication series

Name | |
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Publisher | Think Business Events |

### Conference

Conference | 20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012 |
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Abbreviated title | MTNS |

Country | Australia |

City | Melbourne |

Period | 9/07/12 → 13/07/12 |

### Keywords

- EWI-22849
- Sampled-data systems
- IR-83490
- METIS-296202
- Lifting

## Cite this

Shekhawat, H., & Meinsma, G. (2012). L2 and L∞ optimal downsampling from system theoretic viewpoint. In

*Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems*(pp. 215). Melbourne: Think Business Events.