A computationally efficient non‐iterative four‐parameter sine fitting method
Abstract A computationally efficient four‐parameter least squares (LS) sine fitting method in the time domain is presented here. Unlike the most widespread procedure defined in the relevant IEEE standard, the proposed fitting is non‐iterative. This is achieved by the second‐order approximation of th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-10-01
|
| Series: | IET Signal Processing |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/sil2.12061 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558664869740544 |
|---|---|
| author | Balázs Renczes Vilmos Pálfi |
| author_facet | Balázs Renczes Vilmos Pálfi |
| author_sort | Balázs Renczes |
| collection | DOAJ |
| description | Abstract A computationally efficient four‐parameter least squares (LS) sine fitting method in the time domain is presented here. Unlike the most widespread procedure defined in the relevant IEEE standard, the proposed fitting is non‐iterative. This is achieved by the second‐order approximation of the cost function (CF) around the actual frequency of the sinusoidal excitation. The approximation reduces the four‐parameter non‐linear fitting problem to a defined set of three‐parameter linear fitting problems. Therefore, the computational demand can be predicted precisely, which is an essential aspect of real‐life applications. Furthermore, the proposed method is shown to have increased numerical stability. Finally, measurements and computer simulations are carried out to demonstrate the reduced computational demand, while preserving the accuracy compared with the algorithm proposed in the IEEE standard. |
| format | Article |
| id | doaj-art-75c2a4e255dc4330982571df3b8912c8 |
| institution | Kabale University |
| issn | 1751-9675 1751-9683 |
| language | English |
| publishDate | 2021-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Signal Processing |
| spelling | doaj-art-75c2a4e255dc4330982571df3b8912c82025-02-03T01:31:55ZengWileyIET Signal Processing1751-96751751-96832021-10-0115856257110.1049/sil2.12061A computationally efficient non‐iterative four‐parameter sine fitting methodBalázs Renczes0Vilmos Pálfi1Department of Measurement and Information Systems Budapest University of Technology and Economics Budapest HungaryDepartment of Measurement and Information Systems Budapest University of Technology and Economics Budapest HungaryAbstract A computationally efficient four‐parameter least squares (LS) sine fitting method in the time domain is presented here. Unlike the most widespread procedure defined in the relevant IEEE standard, the proposed fitting is non‐iterative. This is achieved by the second‐order approximation of the cost function (CF) around the actual frequency of the sinusoidal excitation. The approximation reduces the four‐parameter non‐linear fitting problem to a defined set of three‐parameter linear fitting problems. Therefore, the computational demand can be predicted precisely, which is an essential aspect of real‐life applications. Furthermore, the proposed method is shown to have increased numerical stability. Finally, measurements and computer simulations are carried out to demonstrate the reduced computational demand, while preserving the accuracy compared with the algorithm proposed in the IEEE standard.https://doi.org/10.1049/sil2.12061curve fittingIEEE standardsiterative methodsleast squares approximationsnumerical stability |
| spellingShingle | Balázs Renczes Vilmos Pálfi A computationally efficient non‐iterative four‐parameter sine fitting method IET Signal Processing curve fitting IEEE standards iterative methods least squares approximations numerical stability |
| title | A computationally efficient non‐iterative four‐parameter sine fitting method |
| title_full | A computationally efficient non‐iterative four‐parameter sine fitting method |
| title_fullStr | A computationally efficient non‐iterative four‐parameter sine fitting method |
| title_full_unstemmed | A computationally efficient non‐iterative four‐parameter sine fitting method |
| title_short | A computationally efficient non‐iterative four‐parameter sine fitting method |
| title_sort | computationally efficient non iterative four parameter sine fitting method |
| topic | curve fitting IEEE standards iterative methods least squares approximations numerical stability |
| url | https://doi.org/10.1049/sil2.12061 |
| work_keys_str_mv | AT balazsrenczes acomputationallyefficientnoniterativefourparametersinefittingmethod AT vilmospalfi acomputationallyefficientnoniterativefourparametersinefittingmethod AT balazsrenczes computationallyefficientnoniterativefourparametersinefittingmethod AT vilmospalfi computationallyefficientnoniterativefourparametersinefittingmethod |