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Title: 2-D weighted least-squares phase unwrapping

Abstract

Weighted values of interferometric signals are unwrapped by determining the least squares solution of phase unwrapping for unweighted values of the interferometric signals; and then determining the least squares solution of phase unwrapping for weighted values of the interferometric signals by preconditioned conjugate gradient methods using the unweighted solutions as preconditioning values. An output is provided that is representative of the least squares solution of phase unwrapping for weighted values of the interferometric signals.

Inventors:
 [1];  [2]
  1. Placitas, NM
  2. Albuquerque, NM
Issue Date:
Research Org.:
AT&T
OSTI Identifier:
869930
Patent Number(s):
5424743
Assignee:
U.S. Department of Energy (Washington, DC)
Patent Classifications (CPCs):
G - PHYSICS G01 - MEASURING G01S - RADIO DIRECTION-FINDING
DOE Contract Number:  
AC04-76DP00789
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
2-d; weighted; least-squares; phase; unwrapping; values; interferometric; signals; unwrapped; determining; squares; solution; unweighted; preconditioned; conjugate; gradient; methods; solutions; preconditioning; output; provided; representative; weighted values; phase unwrapping; interferometric signals; /342/

Citation Formats

Ghiglia, Dennis C, and Romero, Louis A. 2-D weighted least-squares phase unwrapping. United States: N. p., 1995. Web.
Ghiglia, Dennis C, & Romero, Louis A. 2-D weighted least-squares phase unwrapping. United States.
Ghiglia, Dennis C, and Romero, Louis A. Sun . "2-D weighted least-squares phase unwrapping". United States. https://www.osti.gov/servlets/purl/869930.
@article{osti_869930,
title = {2-D weighted least-squares phase unwrapping},
author = {Ghiglia, Dennis C and Romero, Louis A},
abstractNote = {Weighted values of interferometric signals are unwrapped by determining the least squares solution of phase unwrapping for unweighted values of the interferometric signals; and then determining the least squares solution of phase unwrapping for weighted values of the interferometric signals by preconditioned conjugate gradient methods using the unweighted solutions as preconditioning values. An output is provided that is representative of the least squares solution of phase unwrapping for weighted values of the interferometric signals.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 1995},
month = {Sun Jan 01 00:00:00 EST 1995}
}

Works referenced in this record:

Matrix formulation of the reconstruction of phase values from phase differences
journal, January 1979


Direct phase estimation from phase differences using fast elliptic partial differential equation solvers
journal, January 1989


Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods
journal, January 1994