基于稀疏采样的全相位互素谱分析理论及应用

项目名称： 基于稀疏采样的全相位互素谱分析理论及应用

项目编号： No.61271322

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 无线电电子学、电信技术

项目作者： 黄翔东

作者单位： 天津大学

项目金额： 68万元

中文摘要： 依据低速率采样得到的稀疏样本估计信号成分，特别是密集谱成分，一直是谱分析理论的难题，该问题也严重制约着通信、生物医学、军事应用等领域关键技术的突破。本课题意图将原创的全相位谱分析及其滤波理论与最近学术界提出的"互素谱"理论结合起来，以解决该问题，同时克服现有互素谱分析方法存在交叉项干扰、频谱泄漏难以控制等诸多缺陷。其主要研究内容包括：(1)结合中国余数定理与全相位滤波理论，设计新型互素谱分析结构；(2)分析常见信号的互素谱分析结果，基于此挖掘并推导新型互素谱分析的基本性质；(3)结合新型互素谱分析的性质与全相位谱分析及滤波理论，研究提高密集谱成分辨识能力的途径；(4)将互素谱分析理论的展开应用，解决现有的密集谱估计和高频谱估计的难题。总之，本课题将建立一套包括基础理论、算法设计、算法仿真、理论与算法验证的新型"全相位互素谱分析体系"。

中文关键词： 稀疏采样；互素谱；全相位；频谱指示器；交叉项干扰

英文摘要： Estimating the signal components,especially the dense spectrum components, based on sparse samples accquired from low rate sampling has been a highlighted problem which restricts the breakthrough of the key technologies in communication,biomedical enginering and military applications etc.To solve this problem ,this study aimes to combine the orginal theory of all-phase spectral analysis and filtering with the 'co-prime spectrum'proposed recently and overcome the drawbacks of current co-prime spectrum analysis method such as cross-term interference and difficulties to control spectral leakage etc . The research mainly contains the following:(1)Combine the china remainer theorem with all-phase fitlering theroy to improve the current structrure of co-prime spectral analysis;(2) Analyze the outcomes of commonly used signals and thus excavate and deduce the basic properties of novel co-prime spectral analysis;（3）Study the approches to improve the abilities of discriminating dense spectral components through incoporating the basic properties and theory of all-phase spectral analysis & filtering;（4）Apply co-prime spectral analysis into concrete fields to solve the problems of dense spectral analysis and high-frequency spectral analysis.In summary ,this study is expected to build a system of 'all-phase co-prime spectru

英文关键词： sparse sampling；co-prime；all-phase；spectrum indictor；cross-term interference