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TDOA Localization Using Closed-Form Solution

    Reference: Y. T. Chan and K. C. Ho, "A simple and efficient estimator for hyperbolic location," IEEE Trans. Signal Process., vol. 42, pp. 1905-1915, Aug. 1994.
    Solution: TDOALoc
    CRLB: TDOALocCRLB
    Example: Example

TDOA and FDOA Localization in Closed-Form, Moving Source and Sensors

    Reference: K. C. Ho and W. Xu, "An accurate algebraic solution for moving source location using TDOA and FDOA measurements," IEEE Trans. Signal Process., vol. 52, pp. 2453-2463, Sept. 2004.
    Solution: TDOAFDOALocMvgSrcSen
    CRLB: TDOAFDOALocMvgSrcSenCRLB
    Example: Example

TDOA Localization in Closed-Form With Sensor Position Errors, Stationary Source and Sensors

    Reference: K. C. Ho, X. Lu and L. Kovavisaruch, "Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution," IEEE Trans. Signal Process., vol. 55, pp. 684-696, Feb. 2007.
    Solution: TDOALocStnySenPosErr
    CRLB: TDOALocStnySenPosErrCRLB
    Example: Example

TDOA and FDOA Localization in Closed-Form With Sensor Position Errors, Moving Source and Sensors

    Reference: K. C. Ho, X. Lu and L. Kovavisaruch, "Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution," IEEE Trans. Signal Process., vol. 55, pp. 684-696, Feb. 2007.
    Solution: TDOAFDOALocMvgSenPosErr
    CRLB: TDOAFDOALocMvgSenPosErrCRLB
    Example: Example

TDOA Localization in Closed-Form With Sensor Position Errors and a Calibration Emitter

    Reference: K. C. Ho and L. Yang, "On the use of a calibration emitter for source localization in the presence of sensor position uncertainty," IEEE Trans. Signal Process., vol. 56, pp. 5758-5772, Dec. 2008.
    Solution: TDOALocSenPosErrCalEmtr
    CRLB: TDOALocSenPosErrCalEmtrCRLB
    Example: Example

TDOA Localization of Multiple Disjoint Sources in Closed-Form With Sensor Position Errors

    Reference: L. Yang and K. C. Ho, "An approximately efficient TDOA localization algorithm in closed-form for locating multiple disjoint sources with erroneous sensor positions," IEEE Trans. Signal Process., vol. 57, pp. 4598-4615, Dec. 2009.
    Solution: TDOALocSenPosErrMultiDisjSrc
    CRLB: TDOALocSenPosErrMultiDisjSrcCRLB
    Example: Example

TDOA Localization in Closed-Form With Sensor Position Errors and Multiple Calibration Emitters at Inaccurate Locations

    Reference: L. Yang and K. C. Ho, "Alleviating sensor position error in source localization using calibration emitters at inaccurate locations," IEEE Trans. Signal Process., vol. 58, pp. 67-83, Jan. 2010.
    Solution: TDOALocSenPosErrMultiCalEmtrIaccLoc
    CRLB: TDOALocSenPosErrMultiCalEmtrIaccLocCRLB
    Example: Example

TDOA Localization of Multiple Disjoint Sources in Closed-Form With Sensor Position Errors, Without Requiring Hypothesized Source Positions

    Reference: M. Sun and K. C. Ho, "An asymptotically efficient estimator for TDOA and FDOA positioning of multiple disjoint sources in the presence of sensor location uncertainties," IEEE Trans. Signal Process., vol. 59, pp. 3434-3440, Jul. 2011.
    Solution: TDOALocSenPosErrMultiDisjSrcSH
    CRLB: TDOALocSenPosErrMultiDisjSrcCRLB
    Example: Example, TDOALocSenPosErrMultiDisjSrc, TDOALocStnySenPosErr

TDOA and FDOA Localization of Multiple Disjoint Sources in Closed-Form With Sensor Position and Velocity Errors

    Reference: M. Sun and K. C. Ho, "An asymptotically efficient estimator for TDOA and FDOA positioning of multiple disjoint sources in the presence of sensor location uncertainties," IEEE Trans. Signal Process., vol. 59, pp. 3434-3440, Jul. 2011.
    Solution: TDOAFDOALocMultiDisjMvgSrcSenLocErrSH
    CRLB: TDOAFDOALocMultiDisjMvgSrcSenLocErrCRLB
    Example: ExampleOneSource, ExampleTwoSources, TDOAFDOALocMvgSenPosErr

TDOA Localization in Closed-Form With Reduced Bias

    Reference: K. C. Ho, "Bias reduction for an explicit solution of source localization using TDOA," IEEE Trans. Signal Process., vol. 60, pp. 2101-2114, May 2012.
    BiasRed Solution: TDOALoc_BiasRed
    BiasSub Solution: TDOALoc_BiasSub, BiasTDOALoc
    CRLB: TDOALocCRLB
    Example: Example, TDOALoc

TDOA and FDOA Localization in Closed-Form With Reduced Bias

    Reference: K. C. Ho, "Bias reduction for an explicit solution of source localization using TDOA," IEEE Trans. Signal Process., vol. 60, pp. 2101-2114, May 2012.
    BiasRed Solution: TDOAFDOALoc_BiasRed, MinGenEigCmp
    CRLB: TDOAFDOALocMvgSrcSenCRLB
    Example: Example, TDOAFDOALocMvgSrcSen

AOA 3D Localization in Closed-Form With Reduced Bias

    Reference: Y. Wang and K. C. Ho, "An asymptotically efficient estimator in closed-Form for 3-D AOA localization using a sensor network," IEEE Trans. Wireless Commun., vol. 14, no. 12, pp. 6524-6535, Dec. 2015.
    Solution: AOA3DLoc_BRPLE
    CRLB: AOA3DLocSenPosErrCRLB
    Bias: AOA3DLocBias
    Example: Example

3D Localization in Closed-Form by TDOA and AOA Measurements

    Reference: J. Yin, Q. Wan, S. Yang, and K. C. Ho, "A simple and accurate TDOA-AOA localization method using two stations," IEEE Signal Process. Lett., vol. 23, pp. 144-148, Jan. 2016.
    Solution, Performance: TDOAAOALoc

TDOA localization in LER Scenario

    Reference: S. Li and K. C. Ho, “Accurate and effective localization of an object in large equal radius scenario,” IEEE Trans. Wireless Commun., vol. 15, no. 12, pp. 8273-8285, Dec. 2016.
    Solution: TDOALoc_LER
    CRLB: TDOALocCRLB
    Example: Example_Fig2
    Example: Example_Fig6, TDOALoc, Cov_TDOA, findCenter