Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate
Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signal...
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| Autor*in: |
Zhu, Xiangxiang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Enthalten in: Circuits, systems and signal processing - Springer US, 1982, 39(2019), 5 vom: 12. Okt., Seite 2574-2599 |
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volume:39 ; year:2019 ; number:5 ; day:12 ; month:10 ; pages:2574-2599 |
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10.1007/s00034-019-01278-9 |
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| 520 | |a Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. | ||
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| 650 | 4 | |a Demodulation | |
| 650 | 4 | |a FM signals | |
| 700 | 1 | |a Zhang, Zhuosheng |4 aut | |
| 700 | 1 | |a Zhang, Hanqiu |4 aut | |
| 700 | 1 | |a Gao, Jinghuai |4 aut | |
| 700 | 1 | |a Li, Bei |4 aut | |
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10.1007/s00034-019-01278-9 doi (DE-627)OLC2034857798 (DE-He213)s00034-019-01278-9-p DE-627 ger DE-627 rakwb eng 600 VZ Zhu, Xiangxiang verfasserin aut Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. Multicomponent signal decomposition Ridge reconstruction Time–frequency representation Demodulation FM signals Zhang, Zhuosheng aut Zhang, Hanqiu aut Gao, Jinghuai aut Li, Bei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2019), 5 vom: 12. Okt., Seite 2574-2599 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2019 number:5 day:12 month:10 pages:2574-2599 https://doi.org/10.1007/s00034-019-01278-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 39 2019 5 12 10 2574-2599 |
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10.1007/s00034-019-01278-9 doi (DE-627)OLC2034857798 (DE-He213)s00034-019-01278-9-p DE-627 ger DE-627 rakwb eng 600 VZ Zhu, Xiangxiang verfasserin aut Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. Multicomponent signal decomposition Ridge reconstruction Time–frequency representation Demodulation FM signals Zhang, Zhuosheng aut Zhang, Hanqiu aut Gao, Jinghuai aut Li, Bei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2019), 5 vom: 12. Okt., Seite 2574-2599 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2019 number:5 day:12 month:10 pages:2574-2599 https://doi.org/10.1007/s00034-019-01278-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 39 2019 5 12 10 2574-2599 |
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10.1007/s00034-019-01278-9 doi (DE-627)OLC2034857798 (DE-He213)s00034-019-01278-9-p DE-627 ger DE-627 rakwb eng 600 VZ Zhu, Xiangxiang verfasserin aut Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. Multicomponent signal decomposition Ridge reconstruction Time–frequency representation Demodulation FM signals Zhang, Zhuosheng aut Zhang, Hanqiu aut Gao, Jinghuai aut Li, Bei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2019), 5 vom: 12. Okt., Seite 2574-2599 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2019 number:5 day:12 month:10 pages:2574-2599 https://doi.org/10.1007/s00034-019-01278-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 39 2019 5 12 10 2574-2599 |
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10.1007/s00034-019-01278-9 doi (DE-627)OLC2034857798 (DE-He213)s00034-019-01278-9-p DE-627 ger DE-627 rakwb eng 600 VZ Zhu, Xiangxiang verfasserin aut Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. Multicomponent signal decomposition Ridge reconstruction Time–frequency representation Demodulation FM signals Zhang, Zhuosheng aut Zhang, Hanqiu aut Gao, Jinghuai aut Li, Bei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2019), 5 vom: 12. Okt., Seite 2574-2599 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2019 number:5 day:12 month:10 pages:2574-2599 https://doi.org/10.1007/s00034-019-01278-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 39 2019 5 12 10 2574-2599 |
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10.1007/s00034-019-01278-9 doi (DE-627)OLC2034857798 (DE-He213)s00034-019-01278-9-p DE-627 ger DE-627 rakwb eng 600 VZ Zhu, Xiangxiang verfasserin aut Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. Multicomponent signal decomposition Ridge reconstruction Time–frequency representation Demodulation FM signals Zhang, Zhuosheng aut Zhang, Hanqiu aut Gao, Jinghuai aut Li, Bei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 39(2019), 5 vom: 12. Okt., Seite 2574-2599 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:39 year:2019 number:5 day:12 month:10 pages:2574-2599 https://doi.org/10.1007/s00034-019-01278-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 39 2019 5 12 10 2574-2599 |
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Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
| abstractGer |
Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
| abstract_unstemmed |
Abstract Ridge reconstruction (RR) method is one of the most commonly used ways for multicomponent signal reconstruction from time–frequency representations. However, this method leads to large reconstruction error when dealing with strongly amplitude-modulated and frequency-modulated (AM–FM) signals. In this paper, we first give the error analysis of RR method based on short-time Fourier transform when the amplitude and frequency modulations are not negligible. Then, two generalized ridge reconstruction approaches are proposed to overcome the limitations existing in the standard RR method. The first approach relies on a second-order local expansion of phase function, and the chirp rate is employed to improve the reconstruction. The second one is supported by the fact that RR is exact for pure sinusoidal signals; thus, demodulation operator is performed to facilitate the ridge reconstruction. A simple theoretical analysis of the proposed two approaches is provided. Numerical experiments on simulated and real signals demonstrate that the proposed approaches can obtain a more accurate signal estimate for strongly FM signals, being stable for the selection of window length and keeping a good noise robustness. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Generalized Ridge Reconstruction Approaches Toward more Accurate Signal Estimate |
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Zhang, Zhuosheng Zhang, Hanqiu Gao, Jinghuai Li, Bei |
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Zhang, Zhuosheng Zhang, Hanqiu Gao, Jinghuai Li, Bei |
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2024-07-03T22:44:37.370Z |
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