A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments
In this paper, a novel method, that employs a fractional Fourier transform and a tuneable Sigmoid transform, is proposed, in order to estimate the Doppler stretch and time delay of wideband echoes for a linear frequency modulation (LFM) pulse radar in an alpha-stable distribution noise environment....
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MDPI AG
2018-09-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/18/9/3012 |
| _version_ | 1811184206546468864 |
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| author | Li Li Nicolas H. Younan Xiaofei Shi |
| author_facet | Li Li Nicolas H. Younan Xiaofei Shi |
| author_sort | Li Li |
| collection | DOAJ |
| description | In this paper, a novel method, that employs a fractional Fourier transform and a tuneable Sigmoid transform, is proposed, in order to estimate the Doppler stretch and time delay of wideband echoes for a linear frequency modulation (LFM) pulse radar in an alpha-stable distribution noise environment. Two novel functions, a tuneable Sigmoid fractional correlation function (TS-FC) and a tuneable Sigmoid fractional power spectrum density (TS-FPSD), are presented in this paper. The novel algorithm based on the TS-FPSD is then proposed to estimate the Doppler stretch and the time delay. Then, the derivation of unbiasedness and consistency is presented. Furthermore, the boundness of the TS-FPSD to the symmetric alpha stable ( S α S ) noise, the parameter selection of the TS-FPSD, and the feasibility analysis of the TS-FPSD, are presented to evaluate the performance of the proposed method. In addition, the Cramér–Rao bound for parameter estimation is derived and computed in closed form, which shows that better performance has been achieved. Simulation results and theoretical analysis are presented, to demonstrate the applicability of the forgoing method. It is shown that the proposed method can not only effectively suppress impulsive noise interference, but it also does not need a priori knowledge of the noise with higher estimation accuracy in alpha-stable distribution noise environments. |
| first_indexed | 2024-04-11T13:08:53Z |
| format | Article |
| id | doaj.art-0e5f53d233be40e9ab12727d1807f220 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T13:08:53Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-0e5f53d233be40e9ab12727d1807f2202022-12-22T04:22:38ZengMDPI AGSensors1424-82202018-09-01189301210.3390/s18093012s18093012A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise EnvironmentsLi Li0Nicolas H. Younan1Xiaofei Shi2College of Information Engineering, Dalian University, Dalian 116622, ChinaDepartment of Electrical and Computer Engineering, Mississippi State University, Starkville, MS 39762, USADepartment of Electrical and Computer Engineering, Mississippi State University, Starkville, MS 39762, USAIn this paper, a novel method, that employs a fractional Fourier transform and a tuneable Sigmoid transform, is proposed, in order to estimate the Doppler stretch and time delay of wideband echoes for a linear frequency modulation (LFM) pulse radar in an alpha-stable distribution noise environment. Two novel functions, a tuneable Sigmoid fractional correlation function (TS-FC) and a tuneable Sigmoid fractional power spectrum density (TS-FPSD), are presented in this paper. The novel algorithm based on the TS-FPSD is then proposed to estimate the Doppler stretch and the time delay. Then, the derivation of unbiasedness and consistency is presented. Furthermore, the boundness of the TS-FPSD to the symmetric alpha stable ( S α S ) noise, the parameter selection of the TS-FPSD, and the feasibility analysis of the TS-FPSD, are presented to evaluate the performance of the proposed method. In addition, the Cramér–Rao bound for parameter estimation is derived and computed in closed form, which shows that better performance has been achieved. Simulation results and theoretical analysis are presented, to demonstrate the applicability of the forgoing method. It is shown that the proposed method can not only effectively suppress impulsive noise interference, but it also does not need a priori knowledge of the noise with higher estimation accuracy in alpha-stable distribution noise environments.http://www.mdpi.com/1424-8220/18/9/3012alpha stable distribution noisetuneable Sigmoid transformfractional power spectrum densityLFM pulse radarparameter estimation |
| spellingShingle | Li Li Nicolas H. Younan Xiaofei Shi A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments Sensors alpha stable distribution noise tuneable Sigmoid transform fractional power spectrum density LFM pulse radar parameter estimation |
| title | A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments |
| title_full | A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments |
| title_fullStr | A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments |
| title_full_unstemmed | A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments |
| title_short | A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments |
| title_sort | novel parameter estimation method based on a tuneable sigmoid in alpha stable distribution noise environments |
| topic | alpha stable distribution noise tuneable Sigmoid transform fractional power spectrum density LFM pulse radar parameter estimation |
| url | http://www.mdpi.com/1424-8220/18/9/3012 |
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