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Explore the intricate connections between Fisher information matrix, array manifold geometry, and time delay estimation in this illuminating 23-minute conference talk from GSI. Delve into the mathematical foundations and practical applications of these concepts, gaining insights into their roles in signal processing and parameter estimation. Discover how the Fisher information matrix provides a measure of the information content in observed data, and learn how it relates to the geometry of array manifolds. Examine the challenges and techniques involved in time delay estimation, a crucial aspect of various signal processing applications. Enhance your understanding of these advanced topics and their interplay in modern signal processing and estimation theory.