论文标题
使用正规化的最小二乘确定不足采样的沿海潮汐谐波
Determining Undersampled Coastal Tidal Harmonics using Regularized Least Squares
论文作者
论文摘要
Satellite altimetry, which measures water level with global coverage and high resolution, provides an unprecedented opportunity for a wide and refined understanding of the changing tides in the coastal area, but the sampling frequency is too low to satisfy the Nyquist frequency requirement and too few data points per year are available to recognize a sufficient number of tidal constituents to capture the trend of tidal changes on a yearly basis.为了解决这些问题,开发了一种新型的正规化最小二乘方法,以放大卫星操作条件范围的限制。在这种方法中,使用区域潮汐幅度的先前信息用于支持至少平方分析,以获得不同长度和时间间隔的水位时间序列的潮汐成分的幅度和阶段。在特拉华湾和加尔维斯顿湾进行的合成数据实验表明,提出的方法可以以高精度确定潮汐幅度,并且可以将采样间隔扩展到主要高度卫星的应用水平。使用Altimetry Mission Jason-3的数据进一步验证了所提出的算法,以显示其对不规则和嘈杂数据的适用性。这种新方法可以帮助确定沿海地区的海平面上升和人为活动的变化潮流,从而为沿海洪水风险评估和生态系统健康分析提供了信息。
Satellite altimetry, which measures water level with global coverage and high resolution, provides an unprecedented opportunity for a wide and refined understanding of the changing tides in the coastal area, but the sampling frequency is too low to satisfy the Nyquist frequency requirement and too few data points per year are available to recognize a sufficient number of tidal constituents to capture the trend of tidal changes on a yearly basis. To address these issues, a novel Regularized Least-Square approach is developed to relax the limitation to the range of satellite operating conditions. In this method, the prior information of the regional tidal amplitudes is used to support a least square analysis to obtain the amplitudes and phases of the tidal constituents for water elevation time series of different lengths and time intervals. Synthetic data experiments performed in Delaware Bay and Galveston Bay showed that the proposed method can determine the tidal amplitudes with high accuracy and the sampling interval can be extended to the application level of major altimetry satellites. The proposed algorithm was further validated using the data of the altimetry mission, Jason-3, to show its applicability to irregular and noisy data. The new method could help identify the changing tides with sea-level rise and anthropogenic activities in coastal areas, informing coastal flooding risk assessment and ecosystem health analysis.