As the Welch-Berlekamp (W-B) theorem accurately predicts structure of error locator polynomials of the error patterns, it results in the Welch-Berlekamp algorithm of decoding cyclic codes. However, it is only valid wi...As the Welch-Berlekamp (W-B) theorem accurately predicts structure of error locator polynomials of the error patterns, it results in the Welch-Berlekamp algorithm of decoding cyclic codes. However, it is only valid within the BCH bound. Now, a prediction formula for error locator determination is presented based on the study of theory of minimal homogeneous interpolation problem, which extends the Welch-Berlekamp theorem and expands the Welch-Berlekamp algorithm so that the constraint from the BCH展开更多
In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case...In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case when errors occur in multi- ple channels. Importantly, we show the necessary and sufficient conditions on the existence of linear network error correction mul- ticast/broadcast/dispersion maximum distance separable (MDS) code on a matroidal error correction network.展开更多
By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correc...By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correction codes. The basic properties of GMRD are investigated. It is proved that GMRD can characterize the error correction/detection capability of variable-rate linear network error correction codes when the source transmits the messages at several different rates.展开更多
The plane wave spectrum surface integration (PWS SI) is a practical and efficient method for antenna radome system analysis, especially for determining the boresight error (BSE) in the system. But it is only used for ...The plane wave spectrum surface integration (PWS SI) is a practical and efficient method for antenna radome system analysis, especially for determining the boresight error (BSE) in the system. But it is only used for sum pattern calculation till now, and BSE is calculated by the beam maximum searching method. In this paper, the aperture distribution for difference pattern is formulated as the product of that for sum pattern and a two dimensional periodic window function. A series representation for the spectrum of difference pattern is then obtained according to the convolution theorem. The truncation error of the series has been analyzed by introducing the coverage radius of the spectrum of sum pattern. Based on this representation, the PWS SI technique is extended to difference pattern calculation of radome enclosed antennas. The BSE of a three dimensional multilayered radome, with thickness tapers in all layers, is calculated through the difference pattern null searching. Owing to the steep slope of difference pattern near the nulls, this method for BSE calculation is more stable and reliable than the original beam maximum searching method in PWS SI analysis. The results are compared with those from aperture integration surface integration (AI SI) analysis and the measured ones.展开更多
利用2008—2010年春季(3—5月)黄渤海沿海地区34个站点的地面观测风场资料,对CFSR(Climate Forecast System Reanalysis)10m风场再分析数据进行对比分析和检验评估。结果表明:CFSR对逐时风速的平均误差以及平均绝对误差大都在1~2m/s之间...利用2008—2010年春季(3—5月)黄渤海沿海地区34个站点的地面观测风场资料,对CFSR(Climate Forecast System Reanalysis)10m风场再分析数据进行对比分析和检验评估。结果表明:CFSR对逐时风速的平均误差以及平均绝对误差大都在1~2m/s之间,对6级以上大风的平均误差大都在-1^-3m/s,而A平台、成山头、西连岛站为-3^-4m/s。CFSR对逐日风速的平均误差基本在-2~2m/s之间,成山头站最大为-3m/s,对6级以上大风的平均误差基本在-4m/s以内,但西连岛站为-4.7m/s。CFSR对更接近海上的站点以及6级以上大风的评估更加偏小,此外逐日误差比逐时偏大1m/s左右。由北方气旋造成的7级以上大风站点最多,平均误差大都为-4^-5m/s。成山头站在南方气旋和低槽冷锋天气类型下的平均误差都在-5m/s以上。CFSR对各种天气系统产生的西北以及偏北大风的次数及其风向的评估均较好,对北方气旋和东高西低产生的偏南大风评估也比较准确,但对南方气旋产生的东北以及偏东大风评估略差。展开更多
基金the National Natural Science Foundation of China and the Military Science Foundation in Ministry of Electronic Industry of China.
摘要As the Welch-Berlekamp (W-B) theorem accurately predicts structure of error locator polynomials of the error patterns, it results in the Welch-Berlekamp algorithm of decoding cyclic codes. However, it is only valid within the BCH bound. Now, a prediction formula for error locator determination is presented based on the study of theory of minimal homogeneous interpolation problem, which extends the Welch-Berlekamp theorem and expands the Welch-Berlekamp algorithm so that the constraint from the BCH
基金Supported by the National Natural Science Foundation of China(6127117461272492)
摘要In this paper, we further study the connections between linear network error correction codes and representable matroids. We extend the concept of matroidal network introduced by Dougherty et al. to a generalized case when errors occur in multi- ple channels. Importantly, we show the necessary and sufficient conditions on the existence of linear network error correction mul- ticast/broadcast/dispersion maximum distance separable (MDS) code on a matroidal error correction network.
摘要By extending the notion of the minimum distance for linear network error correction code(LNEC), this paper introduces the concept of generalized minimum rank distance(GMRD) of variable-rate linear network error correction codes. The basic properties of GMRD are investigated. It is proved that GMRD can characterize the error correction/detection capability of variable-rate linear network error correction codes when the source transmits the messages at several different rates.
摘要The plane wave spectrum surface integration (PWS SI) is a practical and efficient method for antenna radome system analysis, especially for determining the boresight error (BSE) in the system. But it is only used for sum pattern calculation till now, and BSE is calculated by the beam maximum searching method. In this paper, the aperture distribution for difference pattern is formulated as the product of that for sum pattern and a two dimensional periodic window function. A series representation for the spectrum of difference pattern is then obtained according to the convolution theorem. The truncation error of the series has been analyzed by introducing the coverage radius of the spectrum of sum pattern. Based on this representation, the PWS SI technique is extended to difference pattern calculation of radome enclosed antennas. The BSE of a three dimensional multilayered radome, with thickness tapers in all layers, is calculated through the difference pattern null searching. Owing to the steep slope of difference pattern near the nulls, this method for BSE calculation is more stable and reliable than the original beam maximum searching method in PWS SI analysis. The results are compared with those from aperture integration surface integration (AI SI) analysis and the measured ones.
摘要利用2008—2010年春季(3—5月)黄渤海沿海地区34个站点的地面观测风场资料,对CFSR(Climate Forecast System Reanalysis)10m风场再分析数据进行对比分析和检验评估。结果表明:CFSR对逐时风速的平均误差以及平均绝对误差大都在1~2m/s之间,对6级以上大风的平均误差大都在-1^-3m/s,而A平台、成山头、西连岛站为-3^-4m/s。CFSR对逐日风速的平均误差基本在-2~2m/s之间,成山头站最大为-3m/s,对6级以上大风的平均误差基本在-4m/s以内,但西连岛站为-4.7m/s。CFSR对更接近海上的站点以及6级以上大风的评估更加偏小,此外逐日误差比逐时偏大1m/s左右。由北方气旋造成的7级以上大风站点最多,平均误差大都为-4^-5m/s。成山头站在南方气旋和低槽冷锋天气类型下的平均误差都在-5m/s以上。CFSR对各种天气系统产生的西北以及偏北大风的次数及其风向的评估均较好,对北方气旋和东高西低产生的偏南大风评估也比较准确,但对南方气旋产生的东北以及偏东大风评估略差。