Analysis of windowed dynamical electrical signals through orthogonal basis and the Kalman Filter

E. Cortez, F.A. Uribe, P. Zuñiga , J.J. Chavez

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

An orthogonal vector analysis of windowed dynamical electrical signals with a Kalman filter tracking is proposed in this paper. Based on The Fourier Series Theory, the correlation of the signal coefficient that minimizes the error energy is obtained to extract the sinusoid component of the dynamical electrical signal. Further, The Kalman Filter is applied to track the hidden time-frequency behavior. The proposed algorithm is validated by comparing the response of The Kalman Filter estimation of the naive signal and the approximated one with the discrete Fourier transform. The results suggest that the proposed method is able to improve the Kalman response when treating with signals with non-linear dynamical properties.

Original languageEnglish
Title of host publication2020 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)
PublisherIEEE
Pages1-7
Number of pages7
ISBN (Electronic)978-1-7281-9953-5
ISBN (Print)978-1-7281-9954-2
DOIs
Publication statusPublished - 2020
Event2020 IEEE International Autumn Meeting on Power, Electronics and Computing, ROPEC 2020 - Ixtapa, Mexico
Duration: 4 Nov 20206 Nov 2020

Conference

Conference2020 IEEE International Autumn Meeting on Power, Electronics and Computing, ROPEC 2020
CountryMexico
CityIxtapa
Period4/11/206/11/20

Keywords

  • correlation of signals
  • dynamical electrical signals
  • energy of signals
  • Fourier series
  • Kalman filter
  • orthogonal vectors

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