2-D weighted least-squares phase unwrapping

Ghiglia, Dennis C; Romero, Louis A

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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:

Ghiglia, Dennis C ^[1]; Romero, Louis A ^[2]

Placitas, NM
Albuquerque, NM

Issue Date:: 1995-01-01

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

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G - PHYSICS G01 - MEASURING G01S - RADIO DIRECTION-FINDING
G01S13/9023 - {combined with interferometric techniques}

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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.

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                    Ghiglia, Dennis C, & Romero, Louis A. 2-D weighted least-squares phase unwrapping.  United States.

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                    Ghiglia, Dennis C, and Romero, Louis A. Sun .  
        "2-D weighted least-squares phase unwrapping".  United States.  https://www.osti.gov/servlets/purl/869930.

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@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         = {1995},

  month        = {1}

}

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Works referenced in this record:

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

Hunt, B. R.
Journal of the Optical Society of America, Vol. 69, Issue 3
https://doi.org/10.1364/JOSA.69.000393

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

Ghiglia, Dennis C.; Romero, Louis A.
Optics Letters, Vol. 14, Issue 20
https://doi.org/10.1364/OL.14.001107

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

Ghiglia, Dennis C.; Romero, Louis A.
Journal of the Optical Society of America A, Vol. 11, Issue 1
https://doi.org/10.1364/JOSAA.11.000107

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Similar Records

Title: 2-D weighted least-squares phase unwrapping

Abstract

Citation Formats

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

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