The extended one-dimensional discrete phase retrieval problem

Corneliu Rusu; Jaakko Astola

doi:10.1109/ISSCS.2015.7204029

The extended one-dimensional discrete phase retrieval problem

Corneliu Rusu
, Jaakko Astola

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

2 Citations (Scopus)

Abstract

It has been known for decades that the iterative methods are perhaps the most popular approaches to solve the phase retrieval problem. Unfortunately the iterative methods often stagnate. This happens also in the case of the 1-D Discrete Phase Retrieval (1-D DPhR) problem. Recently it has been shown that some requirements in the input magnitude data might be one of the reasons why the direct method cannot solve the 1-D DPhR Problem. In this work we present some difficulties that can be encountered when one has to implement the iterative method for finding a solution of 1-D DPhR problem. We shall formulate the extended form of 1-D DPhR problem. Simulations indicate the conjecture to be true.

Original language	English
Title of host publication	2015 International Symposium on Signals, Circuits and Systems (ISSCS)
Publisher	IEEE
ISBN (Print)	9781467374873
DOIs	https://doi.org/10.1109/ISSCS.2015.7204029
Publication status	Published - 14 Aug 2015
Publication type	A4 Article in conference proceedings
Event	International Symposium on Signals, Circuits and Systems - , United States Duration: 1 Jan 2000 → …

Conference

Conference	International Symposium on Signals, Circuits and Systems
Country/Territory	United States
Period	1/01/00 → …

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Hardware and Architecture
Signal Processing
Electrical and Electronic Engineering

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10.1109/ISSCS.2015.7204029

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title = "The extended one-dimensional discrete phase retrieval problem",

abstract = "It has been known for decades that the iterative methods are perhaps the most popular approaches to solve the phase retrieval problem. Unfortunately the iterative methods often stagnate. This happens also in the case of the 1-D Discrete Phase Retrieval (1-D DPhR) problem. Recently it has been shown that some requirements in the input magnitude data might be one of the reasons why the direct method cannot solve the 1-D DPhR Problem. In this work we present some difficulties that can be encountered when one has to implement the iterative method for finding a solution of 1-D DPhR problem. We shall formulate the extended form of 1-D DPhR problem. Simulations indicate the conjecture to be true.",

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N2 - It has been known for decades that the iterative methods are perhaps the most popular approaches to solve the phase retrieval problem. Unfortunately the iterative methods often stagnate. This happens also in the case of the 1-D Discrete Phase Retrieval (1-D DPhR) problem. Recently it has been shown that some requirements in the input magnitude data might be one of the reasons why the direct method cannot solve the 1-D DPhR Problem. In this work we present some difficulties that can be encountered when one has to implement the iterative method for finding a solution of 1-D DPhR problem. We shall formulate the extended form of 1-D DPhR problem. Simulations indicate the conjecture to be true.

AB - It has been known for decades that the iterative methods are perhaps the most popular approaches to solve the phase retrieval problem. Unfortunately the iterative methods often stagnate. This happens also in the case of the 1-D Discrete Phase Retrieval (1-D DPhR) problem. Recently it has been shown that some requirements in the input magnitude data might be one of the reasons why the direct method cannot solve the 1-D DPhR Problem. In this work we present some difficulties that can be encountered when one has to implement the iterative method for finding a solution of 1-D DPhR problem. We shall formulate the extended form of 1-D DPhR problem. Simulations indicate the conjecture to be true.

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DO - 10.1109/ISSCS.2015.7204029

M3 - Conference contribution

AN - SCOPUS:84955586971

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BT - 2015 International Symposium on Signals, Circuits and Systems (ISSCS)

PB - IEEE

T2 - International Symposium on Signals, Circuits and Systems

Y2 - 1 January 2000

ER -

The extended one-dimensional discrete phase retrieval problem

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