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Seminars

Applied Mathematics.

Revisiting Array Signal Processing Through the Lens of Riemannian Geometry

2025/07/09 (Wed.) 13:00~14:00
  • Date : 2025/07/09 (Wed.) 13:00~14:00
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Ronen Talmon (Technion)
  • Website : https://www.math.sinica.edu.tw/applied-math
  • Abstract : Array signal processing is a key area in signal processing, used in numerous classical and modern applications such as radar, sonar, wireless communication, acoustics, robotics, smart cities, and autonomous vehicles. A critical component of many array processing methods is the spatial correlation matrix of the array-received signals, which holds important spatial information. Typically, these matrices are used based on their positive-definite structure for beamforming, spectral analysis, and optimization. However, most methods treat these matrices as if they are in a simple Euclidean space, not taking advantage of the proven fact that they actually lie on a more complex Riemannian manifold.
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