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

Weiss, Stephan and Proudler, Ian K. and MacLeod, Malcolm D. (2019) Measuring smoothness of real-valued functions defined by sample points on the unit circle. In: Sensor Signal Processing for Defence 2019, 2019-05-09 - 2019-05-10. (In Press)

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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.

ORCID iDs

Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206, Proudler, Ian K. and MacLeod, Malcolm D.;
  • Item type:Conference or Workshop Item(Paper)
    ID code:67266
    Dates:
    Date
    Event
    1 March 2019
    Published
    1 March 2019
    Accepted
    Notes:© 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
    Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
    Department:Faculty of Engineering > Electronic and Electrical Engineering
    Depositing user: Pure Administrator
    Date deposited:12 Mar 2019 11:27
    Last modified:11 Nov 2024 16:57
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/67266
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