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1.
孙鹤泉 《海洋技术学报》2006,25(1):58-66,93
根据以往的工作积累,作者在文中介绍了在海洋技术中得到应用的几种数学变换,包括基于Fourier变换的频谱分析、波浪分离、相关分析及定义的H artley实现,连续M orlet小波变换在波浪信号分析中的应用,以及离散正交小波变换的降噪作用与悬沙图像的特征提取。文中通过公式推导和数据比较,展示了数学变换在海洋技术应用中的科学魅力。  相似文献   

2.
邢喆  杨柳  李鹏 《海洋测绘》2008,28(2):40-43
探测时间序列中隐藏的周期信号是超导重力仪观测数据分析的目标之一,进行超导重力仪观测数据中隐含信号的检测,最常用的方法是快速傅里叶变换(Fast Fourier Transform ation,FFT)。首先对快速傅里叶变换的原理加以介绍,然后,结合1998年加拿大站全年的超导重力观测数据实例,详细讨论了用快速傅里叶变换进行谱分析的步骤,最后对数据结果进行了分析。  相似文献   

3.
在快速模拟波浪运动的谱方法基础上,引入造波边界,建立了模拟波浪产生和运动的二阶计算模型。采用摄动展开方法简化了带有造波边界的水波运动问题,将速度势分解,得到了满足造波边界和自由面边界的速度势的一般解,运用快速Fourier变换和时间积分,建立了模拟波浪产生和运动的数学模型。基于该模型,采用不同的数值造波条件,模拟了波浪的产生问题;考虑了波浪的初始运动问题;通过把数值结果与物理实验的比较,验证了波浪计算模型的有效性。  相似文献   

4.
差分导航定位是海洋工程地震勘探中不可或缺的技术手段。差分导航定位分为局域差分和广域差分,文中分别介绍了隶属于局域差分的信标差分(RBN DGPS)系统和隶属于广域差分的星基差分(SBAS)系统。根据所在测区位置和定位精度要求的不同,海洋工程地震勘探选用不同的GPS定位设备可以接收不同系统提供的差分信号。导航软件也是海洋工程地震作业中必不可少的一部分,它不仅可以记录GPS定位设备的数据,还具有测线设计、坐标投影、航行轨迹显示等诸多功能。通过对导航软件的灵活应用和信号变换,导航软件还可以为地震系统提供触发信号。最后给出了一个海洋工程地震勘探实例。  相似文献   

5.
小波变换突破了传统Fourier变换等信号处理方法均限制,具有表征信号局部特征的能力,信号的局部奇异性包含了信号的许多重要信息,论文研究了信号的奇异性检测问题。给出小波变换和信号奇异性的关系,实现小波分析对信号各类奇异间断点的有效检测,最后进行实例分析,说明此理论与方法适用于对边缘信号与突变信号的处理和提取,为海底底质识别提供理论依据。  相似文献   

6.
为掌握OSMAR-S型高频地波雷达在南海北部遥测海表面流的误差分布情况,首先分析该型雷达测流的空间分布情况,发现在雷达连线中间区域存在盲区。将雷达测流数据与ADCP测流数据进行比对,中间区域流速误差小于其他区域。为得到更为全面的分析,对雷达测流数据进行潮流调和分析,计算得到潮流和余流,并分别与预报系统的潮流数据、气象站风场数据进行比对,在计算中采用快速Fourier变换进行数据滤波处理。结果显示在雷达电磁波覆盖的向外海一侧中间区域,特别是在与两雷达站夹角接近90°的区域,测流精度高于其他区域,并基于以上结论给出了雷达使用中的建议。  相似文献   

7.
为从海量的海洋原始噪声数据中快速和准确地提取海洋工程噪声信号,完善大型海洋工程的海洋噪声评估方法,文章提出基于声暴露级向量的海洋工程噪声信号自动提取方法,并进行实验验证。研究结果表明:基于声暴露级向量的信号自动提取方法实现的核心是计算疑似信号与样本信号声暴露级向量(包括声暴露级和有效时间长度)的标准化欧氏距离,结合变步长截取分析、半波包络双阈值触发和中心位置触发等方法,提高信号提取的效率和准确率;与传统的人工提取方法相比,该自动提取方法具有稳健、准确和高效的性能,可替代人工提取方法并广泛应用。  相似文献   

8.
在船载地磁三分量测量结果中存在脉冲和高频随机噪声干扰,会影响船磁校正精度。基于实测船载地磁三分量的总场数据构建了一种基于形态学 HHT算法的信号分析和预处理方法,用形态学滤波方法去除脉冲噪声,用希尔伯特-黄变换(Hilbert-Huang Transform, HHT)识别高频噪声分量,并通过自相关函数验证6阶以上的高阶分量包含有效地磁信号,截止频率在0.010~0.500 Hz之间。采用巴特沃斯滤波器(Butterworth filter)对该频率内含噪声地磁总场进行低通滤波处理,并与快速傅里叶变换(Fast Fourier Transform, FFT)滤波结果进行对比,计算2种滤波处理方法的均方根误差(RMSE),形态学-HHT方法的RMSE仅为194 nT,而FFT方法的约为600 nT,表明形态学-HHT的滤波效果优于FFT,可有效压制船载地磁三分量中的随机噪声干扰。  相似文献   

9.
Longuet-Higgins(1983)[1]导出了波高与周期的联合分布函数,此分布函数虽然与实际数据符合良好,但存在很大的缺陷,如:由此分布函数得出的波高分布为形式较为复杂的非Rayleigh分布,很难应用于工程计算中。孙孚(1988a)[2]应用射线理论导出了一种波高与周期联合分布,虽然弥补了Longuet-Higgins的一些缺陷,但推导过程过于复杂。本文在窄谱假定下通过应用Hilbert变换方法得出新的分布函数并与前两者比较,表明Hilbert变换的方法不但简便,而且完全克服Longuet-Higgins的不足,可以方便的应用于工程计算中。本文也为Hilbert变换的方法在工程中的应用提供了理论依据。  相似文献   

10.
成层海床波浪响应的状态空间解及其应用   总被引:1,自引:0,他引:1  
针对成层海床的波浪响应问题,采用Laplace-Fourier变换和状态空间法求解控制方程,得到表征该问题基本状态量之间的传递矩阵。利用矩阵递推规律、边界条件及逆变换技术实现成层海床波浪响应的计算。以北海和密西西比三角洲的波浪和海床特征为参数进行算例分析,结果表明该方法具有较高的效率和精度。结合北海的工况指出在砂质海床的表面铺设一层砾石土可以增强海床的抗液化能力,起到保护海床的作用。  相似文献   

11.
The application of Hartley transform to ocean engineering   总被引:1,自引:0,他引:1  
The Hartley transform is a real integral transform based on harmonic functions and hassome characteristics similar to the Fourier transform. Most applications in ocean engineering requiring the Fourier transform can also be performed by the Hartley transform. The fast Hartley transform is twice faster and more convenient to handle than the corresponding fast Fourier transform, so it is a real valued alternative to the complex Fourier transform in many applications. The use of the Hartley transform in ocean engineering is presented in detail in this paper, including wave spectral analysis, separation of waves, cross-correlation in PIV technique and expression of equation in the Hartley domain. The examples in the paper show deeply the advantage and efficiency of the Hartley transform over the Fourier transform.  相似文献   

12.
Analysis and simulation of wave records through fast Hartley transform   总被引:1,自引:0,他引:1  
The Hartley transform, a real-valued alternative to the complex Fourier transform, is presented as an efficient tool for the analysis and synthesis of ocean surface wave records. Basic theoretical properties of this real-valued transform are briefly reviewed. Similarities and differences between Fourier and Hartley integral transforms, as well as computational benefits and disadvantages between numerical algorithms used to evaluate their discrete versions, are presented. The fast Hartley transform algorithm is used to simulate stationary Gaussian time series of the sea surface elevation and to estimate the spectral density function, the Hilbert transform and the envelope function of wave records.  相似文献   

13.
In this paper, a three-dimensional Fourier transform inversion method describing the interaction between water surface emitted radiation from a flat finite wave tank and antenna radiation characteristics is reported. The transform technique represents the scanning of the antenna mathematically as a correlation. Computation time is reduced by using the efficient and economical fast Fourier transform algorithm. To verify the inversion method, computations have been made and compared with known data and other available results. The technique has been used to restore data of the finite wave tank system and other available antenna temperature measurements made at the Cape Cod Canal. The restored brightness temperatures serve as better representations of the emitted radiation than the measured antenna temperatures.  相似文献   

14.
It is shown how the computational burden of source localization by matched field processing (MFP) can be significantly reduced (20 to 30 times) by expressing the correlation in terms of a discrete Fourier transform and using the fast Fourier transform (FFT) algorithm. The price paid to achieve increased speed is in the form of quantization phase errors. It is shown through analysis and computer simulation that the quantization errors reduce the source peak height, depending upon the size of DFT. The proposed fast MFP works for range localization only. However, the depth estimation is possible by repeated application of the above algorithm for different depths  相似文献   

15.
A fast time-domain method is developed in this paper for the real-time prediction of the six degree of freedom motions of a vessel traveling in an irregular seaway in infinitely deep water. The fully coupled unsteady ship motion problem is solved by time-stepping the linearized boundary conditions on both the free surface and body surface. A velocity-based boundary integral method is then used to solve the Laplace equation at every time step for the fluid kinematics, while a scalar integral equation is solved for the total fluid pressure. The boundary integral equations are applied to both the physical fluid domain outside the body and a fictitious fluid region inside the body, enabling use of the fast Fourier transform method to evaluate the free surface integrals. The computational efficiency of the scheme is further improved through use of the method of images to eliminate source singularities on the free surface while retaining vortex/dipole singularities that decay more rapidly in space. The resulting numerical algorithm runs 2–3 times faster than real time on a standard desktop computer. Numerical predictions are compared to prior published results for the transient motions of a hemisphere and laboratory measurements of the motions of a free running vessel in oblique waves with good agreement.  相似文献   

16.
从航磁资料延拓出海面磁场   总被引:3,自引:0,他引:3       下载免费PDF全文
因延拓深度有限,现有的位场向下延拓方法不能从航磁资料向下延拓出海面的磁场.位场大深度向下延拓方法——迭代法,可以从航磁资料向下延拓出海面的磁场,得出与航磁同比例尺的海面磁力图,可大大提高海洋磁测成果的综合利用率.介绍了迭代法位场延拓原理.用迭代法对实际资料进行了处理,讨论了误差产生的原因.对比了迭代法与快速傅立叶变换法(FFT)在位场向下延拓中的效果,迭代法显著优于FFT法.  相似文献   

17.
An analytical inversion of the Hotine formula is developed using fast Fourier transform techniques. Detailed mathematical derivations are used to explain the concepts behind the inverse transformation. Three modifications of the analytical inversion of the Hotine formula are compared and tested using both synthetic data from the OSU91A geopotential model and real GEOSAT altimetry data from the Exact Repeat Mission. The stability of this inverse Hotine approach is investigated using simulated data, and numerical tests are done to quantify the stability of this approach. The approach seems to be numerically stable without employing any stabilization technique. Estimated gravity information from GEOSTAT altimetry data is compared to marine gravity data from shipboard measurements in the Orphan Knoll area. The standard deviations and mean values of the differences between satellite and marine gravity disturbances are 8.2 and 2.9 mGal for the planar approximation, 9.2 and 3.7 mGal for the spherical approximation, and 9.5 and 1.9 mGal for the Molodenskii‐like approximation, respectively, indicating that latitude‐dependent errors affect the latter two approximations. Such errors could be eliminated by performing the calculations by the rigorous one‐dimensional fast Fourier transform (FFT) technique, and any data noise could be filtered out by utilizing covariance knowledge about the input geoid undulations and their errors. Simulation studies also showed that the accuracy of the techniques (for all approximations) can reach a root‐mean‐square (RMS) level of only a few mGal when proper treatment of FFT edge effects is employed and a rather wide area of results is disregarded around the edges.  相似文献   

18.
19.
潮汐是重要的海洋物理要素。瞬时变化的海面高度信息除了包含潮汐信息外,还包括波浪等高频干扰信息,因此需要对干扰信息进行滤除。如何从获取到的海面瞬时高度变化中提取出潮汐信息就成为一个关键问题。海洋学中通常是通过低通滤波来获取低频的潮汐信息。通过分析常用的3种低通数字滤波的方法,即滑动平均法、快速傅里叶变换法和小波变换法,对3种低通滤波方法应用于潮汐数据处理的效果进行了比较分析,得出滑动平均法在潮汐信息提取中具有较高应用价值的结论。  相似文献   

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