A novel Doppler penalty function for the multitaper Wigner-Ville distribution
(2016) 11th IMA International Conference on Mathematics in Signal Processing- Abstract
- This paper proposes a novel Doppler penalty kernel used in the computation of multitapers corresponding to the Wigner-Ville distribution. The resulting multitaper spectrogram will approximately fulfil the time-frequency concentration of the Wigner-Ville distribution but also suppress the cross-terms outside a signal dependent Doppler bandwidth, making the penalty kernel appropriate for linear frequency modulated signals. A limited number of tapers are used which results in computationally efficient calculations. A method for selecting a signal dependent Doppler bandwidth which balances the trade-off between auto-term resolution and cross-term suppression is also proposed. The time-frequency concentration of the proposed method is compared... (More)
- This paper proposes a novel Doppler penalty kernel used in the computation of multitapers corresponding to the Wigner-Ville distribution. The resulting multitaper spectrogram will approximately fulfil the time-frequency concentration of the Wigner-Ville distribution but also suppress the cross-terms outside a signal dependent Doppler bandwidth, making the penalty kernel appropriate for linear frequency modulated signals. A limited number of tapers are used which results in computationally efficient calculations. A method for selecting a signal dependent Doppler bandwidth which balances the trade-off between auto-term resolution and cross-term suppression is also proposed. The time-frequency concentration of the proposed method is compared to other penalty kernel methods and a lag-independent kernel with compact support. The performance for white noise disturbances is also evaluated. Estimation of heart rate variability data exemplify the use of the penalty kernel. (Less)
- Abstract (Swedish)
- This paper proposes a novel Doppler penalty kernel used in the computation of multitapers corresponding to the Wigner-Ville distribution. The resulting multitaper spectrogram will approximately fulfil the time-frequency concentration of the Wigner-Ville distribution but also suppress the cross-terms outside a signal dependent Doppler bandwidth, making the penalty kernel appropriate for linear frequency modulated signals. A limited number of tapers are used which results in computationally efficient calculations. A method for selecting a signal dependent Doppler bandwidth which balances the trade-off between auto-term resolution and cross-term suppression is also proposed. The time-frequency concentration of the proposed method is compared... (More)
- This paper proposes a novel Doppler penalty kernel used in the computation of multitapers corresponding to the Wigner-Ville distribution. The resulting multitaper spectrogram will approximately fulfil the time-frequency concentration of the Wigner-Ville distribution but also suppress the cross-terms outside a signal dependent Doppler bandwidth, making the penalty kernel appropriate for linear frequency modulated signals. A limited number of tapers are used which results in computationally efficient calculations. A method for selecting a signal dependent Doppler bandwidth which balances the trade-off between auto-term resolution and cross-term suppression is also proposed. The time-frequency concentration of the proposed method is compared to other penalty kernel methods and a lag-independent kernel with compact support. The performance for white noise disturbances is also evaluated. Estimation of heart rate variability data exemplify the use of the penalty kernel. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/e6c23899-fe94-4834-bb31-4fee9501a7fd
- author
- Reinhold, Isabella LU and Sandsten, Maria LU
- organization
- publishing date
- 2016
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- in press
- subject
- keywords
- time-frequency distribution, multiple window, multitaper, penalty function, spectrogram
- host publication
- Proceedings of the 11th IMA International Conference on Mathematics in Signal Processing
- pages
- 4 pages
- conference name
- 11th IMA International Conference on Mathematics in Signal Processing
- conference location
- Birmingham, United Kingdom
- conference dates
- 2016-12-12 - 2016-12-14
- language
- English
- LU publication?
- yes
- id
- e6c23899-fe94-4834-bb31-4fee9501a7fd
- date added to LUP
- 2017-11-02 14:53:48
- date last changed
- 2021-02-10 17:04:37
@inproceedings{e6c23899-fe94-4834-bb31-4fee9501a7fd,
abstract = {{This paper proposes a novel Doppler penalty kernel used in the computation of multitapers corresponding to the Wigner-Ville distribution. The resulting multitaper spectrogram will approximately fulfil the time-frequency concentration of the Wigner-Ville distribution but also suppress the cross-terms outside a signal dependent Doppler bandwidth, making the penalty kernel appropriate for linear frequency modulated signals. A limited number of tapers are used which results in computationally efficient calculations. A method for selecting a signal dependent Doppler bandwidth which balances the trade-off between auto-term resolution and cross-term suppression is also proposed. The time-frequency concentration of the proposed method is compared to other penalty kernel methods and a lag-independent kernel with compact support. The performance for white noise disturbances is also evaluated. Estimation of heart rate variability data exemplify the use of the penalty kernel.}},
author = {{Reinhold, Isabella and Sandsten, Maria}},
booktitle = {{Proceedings of the 11th IMA International Conference on Mathematics in Signal Processing}},
keywords = {{time-frequency distribution; multiple window; multitaper; penalty function; spectrogram}},
language = {{eng}},
title = {{A novel Doppler penalty function for the multitaper Wigner-Ville distribution}},
year = {{2016}},
}