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### Abstract

In the context of extracting analytic eigen- or singular values from a polynomial matrix, a suitable cost function is the smoothness of continuous, real, and potentially symmetric periodic functions. This smoothness can be measured as the power of the derivatives of that function, and can be tied to a set of sample points on the unit circle that may be incomplete. We have previously explored the utility of this cost function, and here provide refinements by (i) analysing properties of the cost function and (ii) imposing additional constraints on its evaluation.

Original language | English |
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Number of pages | 5 |

Publication status | Accepted/In press - 1 Mar 2019 |

Event | Sensor Signal Processing for Defence 2019 - Brighton, United Kingdom Duration: 9 May 2019 → 10 May 2019 |

### Conference

Conference | Sensor Signal Processing for Defence 2019 |
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Abbreviated title | SSPD'19 |

Country | United Kingdom |

City | Brighton |

Period | 9/05/19 → 10/05/19 |

### Keywords

- functions
- sample points
- values

## Fingerprint Dive into the research topics of 'Measuring smoothness of real-valued functions defined by sample points on the unit circle'. Together they form a unique fingerprint.

## Projects

- 1 Active

## Signal Processing in the Information Age (UDRC III)

EPSRC (Engineering and Physical Sciences Research Council)

1/07/18 → 30/06/23

Project: Research

## Cite this

Weiss, S., Proudler, I. K., & MacLeod, M. D. (Accepted/In press).

*Measuring smoothness of real-valued functions defined by sample points on the unit circle*. Paper presented at Sensor Signal Processing for Defence 2019, Brighton, United Kingdom.