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Statistics of the Polarimetric Weibull-Distributed Electromagnetic Wave£» IEEE transactions on antennas and propagation£» 2009, vol. 57 (2), no10, pp. 3232-3248 [17 page(s) (article)] (29 ref.) ¸Ð¼¤²»¾¡ |
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FN ISI Export Format VR 1.0 PT J AU Tao, L Gao-ming, H Xue-song, W Shun-ping, X AF Tao, Liu Gao-ming, Huang Xue-song, Wang Shun-ping, Xiao TI Statistics of the Polarimetric Weibull-Distributed Electromagnetic Wave SO IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION LA English DT Article DE Ellipse parameters; normalized Stokes parameters; polarized wave; statistics ID TERRAIN RADAR CLUTTER; STOKES PARAMETERS; SAR IMAGERY; VECTOR STATISTICS; K-DISTRIBUTION; FIELDS AB The statistical properties of partially polarized light in Gaussian stochastic plane wave fields have been reported in the literature. In this paper, we examine the statistics of the stochastic plane electromagnetic (EM) wave fields that are Weibull distributed. The polarimetric Weibull-distributed wave is characterized by three parameters: the sum of the intensities of the two electric vector components, the orientation angle that the major axis makes with the reference coordinate system, and the ratio of the minor to the major axis. The joint and marginal probability densities of these random variables are determined as a function of the covariance matrix. The main properties of this important distribution are shown. Then, the statistical properties of the normalized Stokes parameters are described in detail in Weibull-distributed stochastic fields. The joint and marginal probability density functions of the three components of the normalized Stokes parameters are presented. Numerical simulations are operated, which coincide with the theoretical derivations. Comparisons between Gaussian and Weibull stochastic fields have been made. The presented statistics of the Weibull polarimetric wave will be useful to random medium scattering and speckle filtering, which can also be extended to deal with the characterization of the scattering matrix elements in radar polarimetry. C1 [Tao, Liu; Gao-ming, Huang] Naval Univ Engn, Sch Elect Engn, Wuhan 430033, Hubei, Peoples R China. [Tao, Liu; Xue-song, Wang; Shun-ping, Xiao] Natl Univ Def Technol, Sch Elect Sci & Engn, Changsha 410073, Hunan, Peoples R China. RP Tao, L, Naval Univ Engn, Sch Elect Engn, Wuhan 430033, Hubei, Peoples R China. EM liutao1018@hotmail.com hgaom@163.com wxs1019@sina.com qwertmingx@tom.com FU National Science Foundation of China [60901069]; National Science Foundation of Hubei Province of China [2008CDB324]; China Postdoctoral Science Foundation [20080431379] FX This work was supported in part by the National Science Foundation of China (Grant No. 60901069), National Science Foundation of Hubei Province of China (2008CDB324) and in part by the China Postdoctoral Science Foundation (20080431379). NR 29 TC 0 PU IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC PI PISCATAWAY PA 445 HOES LANE, PISCATAWAY, NJ 08855 USA SN 0018-926X J9 IEEE TRANS ANTENNAS PROPAGAT JI IEEE Trans. Antennas Propag. PD OCT PY 2009 VL 57 IS 10 PN Part 2 BP 3232 EP 3248 DI 10.1109/TAP.2009.2028597 PG 17 SC Engineering, Electrical & Electronic; Telecommunications GA 505UP £¨¼ìË÷ºÅ£© UT ISI:000270723600030 £¨ÊÕ¼ºÅ£© ER |
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Statistics of the Polarimetric Weibull-Distributed Electromagnetic Wave ¸ü¶àÑ¡Ïî ×÷Õß: Tao L (Tao, Liu)1,2, Gao-ming H (Gao-ming, Huang)1, Xue-song W (Xue-song, Wang)2, Shun-ping X (Shun-ping, Xiao)2 À´Ô´³ö°æÎï: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION ¾í: 57 ÆÚ: 10 Ò³: 3232-3248 ×Ó¼: Part 2 ³ö°æÄê: OCT 2009 ±»ÒýƵ´Î: 0 ²Î¿¼ÎÄÏ×: 29 ÒýÖ¤¹ØÏµÍ¼ ÕªÒª: The statistical properties of partially polarized light in Gaussian stochastic plane wave fields have been reported in the literature. In this paper, we examine the statistics of the stochastic plane electromagnetic (EM) wave fields that are Weibull distributed. The polarimetric Weibull-distributed wave is characterized by three parameters: the sum of the intensities of the two electric vector components, the orientation angle that the major axis makes with the reference coordinate system, and the ratio of the minor to the major axis. The joint and marginal probability densities of these random variables are determined as a function of the covariance matrix. The main properties of this important distribution are shown. Then, the statistical properties of the normalized Stokes parameters are described in detail in Weibull-distributed stochastic fields. The joint and marginal probability density functions of the three components of the normalized Stokes parameters are presented. Numerical simulations are operated, which coincide with the theoretical derivations. Comparisons between Gaussian and Weibull stochastic fields have been made. The presented statistics of the Weibull polarimetric wave will be useful to random medium scattering and speckle filtering, which can also be extended to deal with the characterization of the scattering matrix elements in radar polarimetry. ÎÄÏ×ÀàÐÍ: Article ÓïÑÔ: English ×÷Õ߹ؼü´Ê: Ellipse parameters; normalized Stokes parameters; polarized wave; statistics KeyWords Plus: TERRAIN RADAR CLUTTER; STOKES PARAMETERS; SAR IMAGERY; VECTOR STATISTICS; K-DISTRIBUTION; FIELDS ͨѶ×÷ÕßµØÖ·: Tao, L (ͨѶ×÷Õß), Naval Univ Engn, Sch Elect Engn, Wuhan 430033, Hubei Peoples R China µØÖ·: 1. Naval Univ Engn, Sch Elect Engn, Wuhan 430033, Hubei Peoples R China 2. Natl Univ Def Technol, Sch Elect Sci & Engn, Changsha 410073, Hunan Peoples R China µç×ÓÓʼþµØÖ·: liutao1018@hotmail.com, hgaom@163.com, wxs1019@sina.com, qwertmingx@tom.com »ù½ð×ÊÖúÖÂл: »ù½ð×ÊÖú»ú¹¹ÊÚȨºÅ National Science Foundation of China 60901069 National Science Foundation of Hubei Province of China 2008CDB324 China Postdoctoral Science Foundation 20080431379 [ÏÔʾ»ù½ð×ÊÖúÐÅÏ¢] This work was supported in part by the National Science Foundation of China (Grant No. 60901069), National Science Foundation of Hubei Province of China (2008CDB324) and in part by the China Postdoctoral Science Foundation (20080431379). ³ö°æÉÌ: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855 USA ѧ¿ÆÀà±ð: Engineering, Electrical & Electronic; Telecommunications IDS ºÅ: 505UP ISSN: 0018-926X DOI: 10.1109/TAP.2009.2028597 |
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