Measuring smoothness of real-valued functions defined by sample points on the unit circle

Research output: Contribution to conferencePaper

16 Downloads (Pure)

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 languageEnglish
Number of pages5
Publication statusAccepted/In press - 1 Mar 2019
EventSensor Signal Processing for Defence 2019 - Brighton, United Kingdom
Duration: 9 May 201910 May 2019

Conference

ConferenceSensor Signal Processing for Defence 2019
Abbreviated titleSSPD'19
CountryUnited Kingdom
CityBrighton
Period9/05/1910/05/19

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

    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.