Marine information gathering, transmission, processing, and \\fusion: current status and future trends

Uncertainty: constraints, structures, and variabilities of the nature Hilbert space and operator theory: signal description based on the complete orthogonal sequence and the compactness of operators running on the sequence Information theory: information measures with Shannon entropy, Jaynes' maximum entropy principle and Kullback's minimum cross entropy method, information bounds and information conservation Inverse problem inference Estimation theory: basic methods of signal processing, least squares objective function criterion, Wiener filtering, and Kalman filteringThe relationship of information, physics and Hilbert space 信息的寄存和处理面对的物理问题可归结为传播物理, 即电磁波和声波逆散射 (inverse scattering) 理论 -散射理论中的积分方程方法 [17] .Huygens-Fresnel 原理和 Maxwell-Helmholtz 方程正散射问题积 分方程方法所描述的物理问题和 Hilbert-Schmidt 积分算子作运算的空间问题联合起来提供逆散射问 题解.具体讲来, 希氏空间中有一个特殊的空间 RKHS [18] , 从而对应着一个通过积分核学习 (learning with kernels), 由前向拟合 (滤波) 获得逆散射问题解的 RKHS 方法.信息与空间的联系是信号.通 -观 -控要做的事即为提取深藏在信号中的信息, 实现对物理世 界的 5 性: 可估计性 (estimability), 可检测性 (detectability), 可稳定性 (stabilizability), 可控制性 (controllability) 和可观察性 (observability).