Phaseless Rcovery using Gauss-Newton Method

Bing Gao; Zhiqiang Xu

doi:10.1109/tsp.2017.2742981

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arXiv · 1606.08135

Phaseless Rcovery using Gauss-Newton Method

Bing Gao·Zhiqiang Xu

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Abstract

In this paper, we develop a concrete algorithm for phase retrieval, which we refer to as Gauss-Newton algorithm. In short, this algorithm starts with a good initial estimation, which is obtained by a modified spectral method, and then update the iteration point by a Gauss-Newton iteration step. We prove that a re-sampled version of this algorithm quadratically converges to the solution for the real case with the number of random measurements being nearly minimal. Numerical experiments also show that Gauss-Newton method has better performance over the other algorithms.

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BibTeX RIS

Bing Gao, Zhiqiang Xu. 2018-02-09. Phaseless Rcovery using Gauss-Newton Method. https://doi.org/10.1109/tsp.2017.2742981

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