Spectral Estimation Algorithms: Prony's, ESPRIT, MUSIC & More

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Abstract and 1 Introduction
1.1 EsPrit Algorithm and Middle Error Limit
1.2 Contribution
1.3 related work
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2 proof of the central limit of error in scale
3 proof of the optimal error scale
4 theories of second-order eigenvector perturbation theory
5 strong comparisons of eigenvector
5.1 construction of “good” p
5.2 Expanding Taylor with respect to error terms
5.3 Taylor's Error Cancel
5.4 proof of theorem 5.1
A preliminaries
B Vandermonde Matrice
C Delayed proofs for Section 2
D Deponted proofs for Section 4
E Deponted proofs for Section 5
F lower bonded for spectral estimate
References
1.3 related work
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::: Information This paper is Available in ARXIV Under the CC of 4.0 Acts license.
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::: information
Those with -set:
(1) Zhiyan Ding, Department of Mathematics, University of California, Berkeley;
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(4) Ruizhe Zhang, Simons Institute for the theory of computing.
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