Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: IEEE International Scientific and Technical Conference on Computer Sciences and Information Technologies, CSIT 2020; Lviv-Zbarazh; Lviv-Zbarazh

Год издания: 2020

Идентификатор DOI: 10.1109/CSIT49958.2020.9321909

Ключевые слова: Discrete Chebyshev polynomials, Discrete orthogonal polynomials, GPS time series anomalies, Hahn polynomials, Polynomial filtering, Satellite ephemerides

Аннотация: For the purpose of analyzing discrete time series, in particular originating from GPS or GLONASS coordinate measurements, we discuss an approach based on linear polynomial filtering. By expanding the given data set in terms of a (discrete) orthogonal polynomial basis it is possible to detect and analyze outliers from an expected smooth progression. Several aspects of this approach are discussed and illustrated via numerical experiments based on available measurements. We also consider a potential alternative approach based on (non-orthogonal) discrete Chebyshev polynomials.

Журнал: International Scientific and Technical Conference on Computer Sciences and Information Technologies

Выпуск журнала: 1

Номера страниц: 411-414

• Auzinger W. (Tu Wien,Institute of Analysis and Scientific Computing)
• Kytmanov A.A. (Siberian Federal University,Institute of Space and Information Technology)
• Tsarev S.P. (Siberian Federal University,Institute of Space and Information Technology)

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