Modified hybrid input-output algorithm for phase retrieval

Jo, Jung Guen; Cho, Sung Jin; Park, Min-Chul; Jhon, Young Min; Ju, Byeong−Kwon

doi:10.1109/ivnc.2012.6316827

Cited by 2 publications

(2 citation statements)

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“…Recovering the original signal only from the phase-less amplitude measurements of it, is referred to as phase retrieval. Various methods have been proposed to solve phase retrieval problem in the last three decades, such as Gerchberg-Saxton [1], hybrid input-output algorithm [2] and its improved algorithm [3]. With the development of phase recovery techniques, they have been widely used in image encryption [4], optical imaging [5] and microscopic imaging applications [6].…”

Section: Introductionmentioning

confidence: 99%

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A Fast-Iterative Algorithm Based on the Wirtinger Flow for Phase Retrieval

Pei¹,

Jiang²,

Li³

et al. 2018

dtcse

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Reconstructing the original complex signal using amplitude-only measurements is referred to as the phase retrieval problem. In this paper, we develop a fast-iterative phase retrieval algorithm that can be considered as an enhanced version of the well-known Wirtinger Flow (WF) algorithm. The original WF algorithm is based on gradient descent scheme to tackle the phase recovery problem, however, the convergence speed of this WF algorithm is very slow. Compared with the original WF algorithm, the proposed fast-iterative WF (FWF) algorithm has a faster convergence speed, with an acceptable little more computational complexity. The proposed FWF algorithm is preferable not only due to its accelerated convergence speed but also due to its ability to converge to the global optimum. Experimental results show that the FWF algorithm is superior to the state-of-the-art algorithms in terms of the convergence speed.

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Section: Introductionmentioning

confidence: 99%

“…Ok, which is a significant improvement over the slow convergence behavior introduced by the gradient descent method. In this paper, we are able to extend Nesterov's method to handle the model in (3). We propose a fast-iterative algorithm based on WF to solve the phase retrieval problem.…”

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confidence: 99%