Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing
The classic methods for frequency domain transfer function estimation such as the Empirical Transfer Function Estimate (ETFE) and cross spectral method do not work well when the noise signal is complex. Combines the time domain and frequency domain methods the Empirical Frequency-domain Optimal Para...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/781856 |
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| _version_ | 1849408888209670144 |
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| author | Yulai Zhang Kueiming Lo Yang Su |
| author_facet | Yulai Zhang Kueiming Lo Yang Su |
| author_sort | Yulai Zhang |
| collection | DOAJ |
| description | The classic methods for frequency domain transfer function estimation such as the Empirical Transfer Function Estimate (ETFE) and cross spectral method do not work well when the noise signal is complex. Combines the time domain and frequency domain methods the Empirical Frequency-domain Optimal Parameter (EFOP) Estimate was presented. It could improve the precision of system's transfer function estimation and identification efficiency. The convergence of the EFOP based on frequency domain smoothing is investigated in this paper. The transfer function is weighted by a frequency window and the GPE criterion is extended to the integral form. Convergence rate and consistent properties for the EFOP estimate are given. Finally, some simulation results are included to illustrate the advantage of the EFOP based smoothing method. |
| format | Article |
| id | doaj-art-7ecad6d06fe341adada15dd3aa058b78 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7ecad6d06fe341adada15dd3aa058b782025-08-20T03:35:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/781856781856Convergence Analysis of EFOP Estimate Based on Frequency Domain SmoothingYulai Zhang0Kueiming Lo1Yang Su2School of Software, Tsinghua University, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, ChinaSchool of Software, Tsinghua University, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, ChinaSchool of Software, Tsinghua University, Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, ChinaThe classic methods for frequency domain transfer function estimation such as the Empirical Transfer Function Estimate (ETFE) and cross spectral method do not work well when the noise signal is complex. Combines the time domain and frequency domain methods the Empirical Frequency-domain Optimal Parameter (EFOP) Estimate was presented. It could improve the precision of system's transfer function estimation and identification efficiency. The convergence of the EFOP based on frequency domain smoothing is investigated in this paper. The transfer function is weighted by a frequency window and the GPE criterion is extended to the integral form. Convergence rate and consistent properties for the EFOP estimate are given. Finally, some simulation results are included to illustrate the advantage of the EFOP based smoothing method.http://dx.doi.org/10.1155/2013/781856 |
| spellingShingle | Yulai Zhang Kueiming Lo Yang Su Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing Journal of Applied Mathematics |
| title | Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing |
| title_full | Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing |
| title_fullStr | Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing |
| title_full_unstemmed | Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing |
| title_short | Convergence Analysis of EFOP Estimate Based on Frequency Domain Smoothing |
| title_sort | convergence analysis of efop estimate based on frequency domain smoothing |
| url | http://dx.doi.org/10.1155/2013/781856 |
| work_keys_str_mv | AT yulaizhang convergenceanalysisofefopestimatebasedonfrequencydomainsmoothing AT kueiminglo convergenceanalysisofefopestimatebasedonfrequencydomainsmoothing AT yangsu convergenceanalysisofefopestimatebasedonfrequencydomainsmoothing |