2-D Spectral Distribution Parameter Estimation

二维光谱分布参数估计

• 批准号: 9120377
• 负责人: John Woods
• 金额: $ 4.9万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1993-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9120377&HistoricalAwards=false
• 关键词: Spectral; Distribution; Parameter; Estimation

This project will exploit recent theoretical findings by the coPI, Francos, which lead to an improved estimation procedure for the spectral distribution function of a 2-D homogeneous random field (which can also be referred to as a problem in estimating a 2-D mixed spectrum). By imposing a total order on the discrete (regular) random field and using a new 2-D Wold-like decomposition for homogeneous random fields, the original random field can be decomposed into a purely-deterministic component, modelled as a sum of 2-D harmonic components with random amplitude and phase, a generalized evanescent component which is characterized by its spectral distribution attributes, and a purely-indeterministic component which is modelled by a 2-D AR process. The purpose of the proposed research is to develop a combined detection/estimation procedure for detecting the presence of the deterministic components - the purely-deterministic and generalized evanescent components, and for estimating the necessary parameters of the components which are deemed present in the original decomposition.

该项目将利用coPI最近的理论发现， Francos，这导致了一个改进的估计程序， 二维齐次随机场谱分布函数 （这也可以被称为在估计2D图像中的问题）。 混合光谱）。通过对离散的 （正则）随机场和使用新的二维Wold样分解 对于齐次随机场，原始随机场可以是 分解成一个纯确定性的组成部分， 具有随机幅度和相位的二维谐波分量， 广义倏逝分量，其特征在于， 光谱分布属性，和一个纯粹的不确定性 由2-D AR过程建模的组件。 本研究的目的是开发一种结合 检测/估计过程，用于检测 确定性组件-纯确定性和广义 渐逝分量，并用于估计必要的参数 原件中被认为存在的成分 分解