SPARSE SPECTRAL FACTORIZATION: UNICITY AND RECONSTRUCTION ALGORITHMS
Compressed Sensing and Sparse Representation of Signals
Přednášející: Juri Ranieri, Autoři: Yue Lu, Harvard University, United States; Martin Vetterli, Ecole Polytechnique Fédérale de Lausanne, Switzerland
Spectral factorization is a classical tool in signal processing and communications. It also plays a critical role in X-ray crystallography, in the context of phase retrieval. In this work, we study the problem of sparse spectral factorization, aiming to recover a one-dimensional sparse signal from its autocorrelation. We present a sufficient condition for the recovery to be unique, and propose an iterative algorithm that can obtain the original signal (up to a sign change, time-shift and time-reversal). Numerical simulations verify the effectiveness of the proposed algorithm.
Informace o přednášce
Nahráno: | 2011-05-27 14:25 - 14:45, Club B |
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Přidáno: | 15. 6. 2011 07:14 |
Počet zhlédnutí: | 106 |
Rozlišení videa: | 1024x576 px, 512x288 px |
Délka videa: | 0:18:33 |
Audio stopa: | MP3 [6.26 MB], 0:18:33 |
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