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鎶ュ憡鍐呭姒傝錛歋pectral analysis of signals is a core component of modern information techniques. The rapid developments of radar detection and wireless communications have advanced its research from fast Fourier transform (FFT) in the 1960s to subspace methods emerging in the 1970s, and then to sparse and compressed sensing methods of this century. In this talk, we revisit the Carath茅odory-Fej茅r Theorem (1911) on Vandermonde decomposition of Toeplitz covariance matrices and discuss its key role in modern spectral analysis. We emphasize our extension of the Carath茅odory-Fej茅r Theorem from 1-D to high dimensions and show how it forms the basis of previous approaches and innovates novel methods for spectral analysis.
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2024騫?3鏈?9鏃?/div>