The popular methods to estimate wave height with high-frequency（HF） radar depend on the integration over the second-order spectral region and thus may come under from even not strong external interference. To improv...The popular methods to estimate wave height with high-frequency（HF） radar depend on the integration over the second-order spectral region and thus may come under from even not strong external interference. To improve the accuracy and increase the valid detection range of the wave height measurement, particularly by the smallaperture radar, it is turned to singular peaks which often exceed the power of other frequency components. The power of three kinds of singular peaks, i.e., those around ±1,±√2 and ±1√2 times the Bragg frequency, are retrieved from a one-month-long radar data set collected by an ocean state monitoring and analyzing radar,model S（OSMAR-S）, and in situ buoy records are used to make some comparisons. The power response to a wave height is found to be described with a new model quite well, by which obvious improvement on the wave height estimation is achieved. With the buoy measurements as reference, a correlation coefficient is increased to 0.90 and a root mean square error（RMSE） is decreased to 0.35 m at the range of 7.5 km compared with the results by the second-order method. The further analysis of the fitting performance across range suggests that the peak has the best fit and maintains a good performance as far as 40 km. The correlation coefficient is 0.78 and the RMSE is 0.62 m at 40 km. These results show the effectiveness of the new empirical method, which opens a new way for the wave height estimation with the HF radar.展开更多
证明采用Hankel矩阵时奇异值分解(Singular value decomposition,SVD)可以将信号分解为一系列分量信号的简单线性叠加,为了确定其中的有用分量个数,提出奇异值差分谱的概念。差分谱可以有效地描述有用分量和噪声分量的奇异值性质差异,...证明采用Hankel矩阵时奇异值分解(Singular value decomposition,SVD)可以将信号分解为一系列分量信号的简单线性叠加,为了确定其中的有用分量个数,提出奇异值差分谱的概念。差分谱可以有效地描述有用分量和噪声分量的奇异值性质差异,根据差分谱峰值位置可实现对有用分量个数的确定。研究结果表明,当差分谱最大峰值位于第一个坐标时,则表明原始信号存在较大的直流分量,此时根据第二最大峰值位置可以确定有用分量的个数,否则就根据最大峰值位置来确定分量个数。利用差分谱进一步研究Hankel矩阵的结构对SVD降噪效果的影响,指出矩阵列数和噪声去除量存在抛物线状的对称关系。利用基于差分谱的SVD方法对车削力信号进行处理,结果有效地分离出由于主轴箱故障齿轮的振动而引起的调制信号,并根据此信号可靠地定位了故障齿轮。展开更多
基金The National Natural Science Foundation of China under contract No.61371198the National Special Program for Key Scientific Instrument and Equipment Development of China under contract No.2013YQ160793
文摘The popular methods to estimate wave height with high-frequency（HF） radar depend on the integration over the second-order spectral region and thus may come under from even not strong external interference. To improve the accuracy and increase the valid detection range of the wave height measurement, particularly by the smallaperture radar, it is turned to singular peaks which often exceed the power of other frequency components. The power of three kinds of singular peaks, i.e., those around ±1,±√2 and ±1√2 times the Bragg frequency, are retrieved from a one-month-long radar data set collected by an ocean state monitoring and analyzing radar,model S（OSMAR-S）, and in situ buoy records are used to make some comparisons. The power response to a wave height is found to be described with a new model quite well, by which obvious improvement on the wave height estimation is achieved. With the buoy measurements as reference, a correlation coefficient is increased to 0.90 and a root mean square error（RMSE） is decreased to 0.35 m at the range of 7.5 km compared with the results by the second-order method. The further analysis of the fitting performance across range suggests that the peak has the best fit and maintains a good performance as far as 40 km. The correlation coefficient is 0.78 and the RMSE is 0.62 m at 40 km. These results show the effectiveness of the new empirical method, which opens a new way for the wave height estimation with the HF radar.
文摘证明采用Hankel矩阵时奇异值分解(Singular value decomposition,SVD)可以将信号分解为一系列分量信号的简单线性叠加,为了确定其中的有用分量个数,提出奇异值差分谱的概念。差分谱可以有效地描述有用分量和噪声分量的奇异值性质差异,根据差分谱峰值位置可实现对有用分量个数的确定。研究结果表明,当差分谱最大峰值位于第一个坐标时,则表明原始信号存在较大的直流分量,此时根据第二最大峰值位置可以确定有用分量的个数,否则就根据最大峰值位置来确定分量个数。利用差分谱进一步研究Hankel矩阵的结构对SVD降噪效果的影响,指出矩阵列数和噪声去除量存在抛物线状的对称关系。利用基于差分谱的SVD方法对车削力信号进行处理,结果有效地分离出由于主轴箱故障齿轮的振动而引起的调制信号,并根据此信号可靠地定位了故障齿轮。
