Sorry, you need to enable JavaScript to visit this website.

facebooktwittermailshare

Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval

Abstract: 

The recently reported Wirtinger flow (WF) algorithm has been demonstrated as a promising method for solving the problem of phase retrieval by applying a gradient descent scheme. An empirical choice of stepsize is suggested in practice. However, this heuristic stepsize selection rule is not optimal. In order to accelerate the convergence rate, we propose an improved WF with optimal stepsize. It is revealed that this optimal stepsize is the solution of a univariate cubic equation with real-valued coefficients. Finding its roots is computationally simple because a closed-form expression exists. Furthermore, compared with obtaining the coefficients of the cubic equation, calculating the gradient is still the leading cost. Therefore, the proposed approach has the same dominant cost as WF in each iteration. Simulation results are provided to validate its efficiency compared to the existing technique.

up
1 user has voted: Xue Jiang

Paper Details

Authors:
Sreeraman Rajan, Xingzhao Liu
Submitted On:
28 February 2017 - 3:58am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Xue Jiang
Paper Code:
4209
Document Year:
2017
Cite

Document Files

ICASSP2017 poster.pdf

(77)

Subscribe

[1] Sreeraman Rajan, Xingzhao Liu, "Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/1488. Accessed: Aug. 14, 2020.
@article{1488-17,
url = {http://sigport.org/1488},
author = {Sreeraman Rajan; Xingzhao Liu },
publisher = {IEEE SigPort},
title = {Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval},
year = {2017} }
TY - EJOUR
T1 - Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval
AU - Sreeraman Rajan; Xingzhao Liu
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/1488
ER -
Sreeraman Rajan, Xingzhao Liu. (2017). Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval. IEEE SigPort. http://sigport.org/1488
Sreeraman Rajan, Xingzhao Liu, 2017. Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval. Available at: http://sigport.org/1488.
Sreeraman Rajan, Xingzhao Liu. (2017). "Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval." Web.
1. Sreeraman Rajan, Xingzhao Liu. Wirtinger Flow Method with Optimal Stepsize for Phase Retrieval [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/1488