Long and Medium-Term Research: Adaptive Parameter Estima- tion and Detection of Correlated Signals in Noise

长期&中期研究：噪声中相关信号的自适应参数估计与检测本奖项隶属于国外卓越中心中长期研究项目。它使美国科学家和工程师能够在国外公认的卓越研究中心进行三到十二个月的研究。该计划的奖励为联合研究提供了机会，并利用独特或互补的设施、专业知识和国外的实验条件。该奖项由东北大学的John C. Proakis博士赞助，将支持Hamid Krim博士在法国伊维特的Ecole Sup>rieure d' electricic>实验室进行为期12个月的博士后研究访问。克里姆博士将研究估计/检测，重点是阵列处理问题。在基于子空间的参数估计和检测技术中，在湍流色散介质中，应用高分辨率方法检测传输信号（或估计信号参数）是困难的。Krim博士最近提出了一种基于数据的算法来估计与线性阵列相碰撞的相关（相干）信号的到达方向，并开发了一种专门用于该算法的通用性能分析。他将这样扩展他的工作：(1)为了解释传输介质的非平稳性（例如，大气的季节性湍流）并适应它，他建议推导一个可以很容易地集成到他当前算法中的自适应方案；(2)他将使用最近性能分析的一些有见地的结果，正式推导出解析两个紧密间隔的信号撞击线性阵列天线的概率的解析界。在一些额外的合理假设之后，精确概率的更强的结果也将推导出来。这项研究应该与包括雷达和声纳在内的许多应用相关。该奖项建议提供资金用于支付国际旅行，家属津贴和美国本土机构250美元的固定行政津贴。

Krim Long & Medium-Term Research: Adaptive Parameter Estimation and Detection of Correlated Signals in Noise This award is under the Program for Long-& Medium Term Research at Foreign Centers of Excellence, which enables U.S. scientists and engineers to conduct three to twelve months of research abroad at research centers of proven excellence. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award for a proposal sponsored by Dr. John C. Proakis of Northeastern University will support a twelve-month postdoctoral research visit by Dr. Hamid Krim at the Laboratoire des Signaux & Syst>mes, Ecole Sup>rieure d'Electricit>, Yvette, France. Dr. Krim will study estimation/detection with emphasis on array-processing problems. In subspace-based parameter estimation and detection techniques, in a turbulent dispersive medium, applications of high resolution methods for detecting transmitted signals (or estimating signal parameters) prove difficult. Dr. Krim recently proposed a data-based algorithm to estimate the direction of arrival of correlated (coherent) signals impinging on a linear array and has developed a generalized performance analysis specialized to this algorithm. He will extend this work thus: (1) To account for the nonstationarity of the transmitting medium (e.g., seasonal turbulence of the atmosphere) and accommodate for it, he proposes to derive an adaptive scheme that can be easily integrated into his current algorithm; (2) He will use some insightful results of a recent performance analysis to formally derive analytical bounds on the probability of resolving two closely spaced signals impinging on a linear array antenna. The stronger result of an exact probability will also be derived after some additional reasonable assumptions. This research should be of relevance to many applications including radar and sonar. The award recommendation provides funds to cover international travel, dependent's allowance, and a flat administrative allowance of $250 for the U.S. home institution.