Roll angular rate extraction based on modified spline-kernelled chirplet transform
The roll angular rate is much crucial for the guidance and control of the projectile. Yet the high-speed rotation of the projectile brings severe challenges to the direct measurement of the roll angular rate. Nevertheless, the radial magnetometer signal is modulated by the high-speed rotation, thus...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2022-05-01
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| Series: | Defence Technology |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S221491472100074X |
| _version_ | 1818552834179727360 |
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| author | Hui Zhao Zhong Su Qing Li Fu-chao Liu Ning Liu |
| author_facet | Hui Zhao Zhong Su Qing Li Fu-chao Liu Ning Liu |
| author_sort | Hui Zhao |
| collection | DOAJ |
| description | The roll angular rate is much crucial for the guidance and control of the projectile. Yet the high-speed rotation of the projectile brings severe challenges to the direct measurement of the roll angular rate. Nevertheless, the radial magnetometer signal is modulated by the high-speed rotation, thus the roll angular rate can be achieved by extracting the instantaneous frequency of the radial magnetometer signal. The objective of this study is to find out a precise instantaneous frequency extraction method to obtain an accurate roll angular rate. To reach this goal, a modified spline-kernelled chirplet transform (MSCT) algorithm is proposed in this paper. Due to the nonlinear frequency modulation characteristics of the radial magnetometer signal, the existing time-frequency analysis methods in literature cannot obtain an excellent energy concentration in the time-frequency plane, thereby leading to a terrible instantaneous frequency extraction accuracy. However, the MSCT can overcome the problem of bad energy concentration by replacing the short-time Fourier transform operator with the Chirp Z-transform operator based on the original spline-kernelled chirplet transform. The introduction of Chirp Z-transform can improve the construction accuracy of the transform kernel. Since the construction accuracy of the transform kernel determines the concentration of time-frequency distribution, the MSCT can obtain a more precise instantaneous frequency. The performance of the MSCT was evaluated by a series of numerical simulations, high-speed turntable experiments, and real flight tests. The evaluation results show that the MSCT has an excellent ability to process the nonlinear frequency modulation signal, and can accurately extract the roll angular rate for the high spinning projectiles. |
| first_indexed | 2024-12-12T09:18:16Z |
| format | Article |
| id | doaj.art-bb3e0e9270c846f6b78d712651b76778 |
| institution | Directory Open Access Journal |
| issn | 2214-9147 |
| language | English |
| last_indexed | 2024-12-12T09:18:16Z |
| publishDate | 2022-05-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Defence Technology |
| spelling | doaj.art-bb3e0e9270c846f6b78d712651b767782022-12-22T00:29:18ZengKeAi Communications Co., Ltd.Defence Technology2214-91472022-05-01185876890Roll angular rate extraction based on modified spline-kernelled chirplet transformHui Zhao0Zhong Su1Qing Li2Fu-chao Liu3Ning Liu4School of Automation, Beijing Institute of Technology, Beijing, 100081, China; Beijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science and Technology University, Beijing, 100192, ChinaSchool of Automation, Beijing Institute of Technology, Beijing, 100081, China; Beijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science and Technology University, Beijing, 100192, China; Corresponding author.Beijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science and Technology University, Beijing, 100192, ChinaBeijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science and Technology University, Beijing, 100192, ChinaBeijing Key Laboratory of High Dynamic Navigation Technology, Beijing Information Science and Technology University, Beijing, 100192, ChinaThe roll angular rate is much crucial for the guidance and control of the projectile. Yet the high-speed rotation of the projectile brings severe challenges to the direct measurement of the roll angular rate. Nevertheless, the radial magnetometer signal is modulated by the high-speed rotation, thus the roll angular rate can be achieved by extracting the instantaneous frequency of the radial magnetometer signal. The objective of this study is to find out a precise instantaneous frequency extraction method to obtain an accurate roll angular rate. To reach this goal, a modified spline-kernelled chirplet transform (MSCT) algorithm is proposed in this paper. Due to the nonlinear frequency modulation characteristics of the radial magnetometer signal, the existing time-frequency analysis methods in literature cannot obtain an excellent energy concentration in the time-frequency plane, thereby leading to a terrible instantaneous frequency extraction accuracy. However, the MSCT can overcome the problem of bad energy concentration by replacing the short-time Fourier transform operator with the Chirp Z-transform operator based on the original spline-kernelled chirplet transform. The introduction of Chirp Z-transform can improve the construction accuracy of the transform kernel. Since the construction accuracy of the transform kernel determines the concentration of time-frequency distribution, the MSCT can obtain a more precise instantaneous frequency. The performance of the MSCT was evaluated by a series of numerical simulations, high-speed turntable experiments, and real flight tests. The evaluation results show that the MSCT has an excellent ability to process the nonlinear frequency modulation signal, and can accurately extract the roll angular rate for the high spinning projectiles.http://www.sciencedirect.com/science/article/pii/S221491472100074XHigh spinning projectileRoll angular rateTime-frequency analysisSpline-kernelled chirplet transformChirp Z-transform |
| spellingShingle | Hui Zhao Zhong Su Qing Li Fu-chao Liu Ning Liu Roll angular rate extraction based on modified spline-kernelled chirplet transform Defence Technology High spinning projectile Roll angular rate Time-frequency analysis Spline-kernelled chirplet transform Chirp Z-transform |
| title | Roll angular rate extraction based on modified spline-kernelled chirplet transform |
| title_full | Roll angular rate extraction based on modified spline-kernelled chirplet transform |
| title_fullStr | Roll angular rate extraction based on modified spline-kernelled chirplet transform |
| title_full_unstemmed | Roll angular rate extraction based on modified spline-kernelled chirplet transform |
| title_short | Roll angular rate extraction based on modified spline-kernelled chirplet transform |
| title_sort | roll angular rate extraction based on modified spline kernelled chirplet transform |
| topic | High spinning projectile Roll angular rate Time-frequency analysis Spline-kernelled chirplet transform Chirp Z-transform |
| url | http://www.sciencedirect.com/science/article/pii/S221491472100074X |
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