Abstract
An outlier revision method is proposed based on Wright criterion, quadratic difference prediction and wavelet transformation. Making use of wavelet transformation, the original telemetry data is decomposed into multi-level detail and approximation components. In detail component of every level, outliers are distinguished by Wright criterion, and which are corrected by quadratic difference prediction method. After wavelet reconstruction, the revised data will be obtained. This method not only can revise the outliers effectively, but also can reserve the key information in original data. Finally, this method has been proved efficacious and feasible for revising the outliers of telemetry data.
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Alessandra DP, Salvatore G, Giuseppe LR, Fabrizio M, Marco O (2015) Adaptive distributed outlier detection for WSNs. IEEE Trans Cybernet 45:888–899
An WJ, Liang MG, Liu H (2015) An improved one-class support vector machine classifier for outlier detection. J Mech Eng Sci 229:580–588
Gao N, Zhou YQ, Yang Y, Tang W (2003) Adaptive Kalman filter algorithm with fault-tolerant improvement. J Chin Inertial Technol 11:25–28
Grané A, Veiga H (2010) Wavelet-based detection of outliers in financial time series. Comput Stat Data Anal 54:2580–2593
Gu YY, Zhao SZ (2012) Comparison & analysis on method of picking out the error for telemetry data. Tactical Missile Technol 25:60–63
Hashemipour HR, Roy S, Laub AJ (1998) Decentralized structures for parallel Kalman filtering. IEEE Trans Autom Control 33:88–94
He MK, Wang ZM, Zhu JB (2002) Realtime outliers detection in multi-sensor target tracing. J Astronaut 23:34–37
Hu SL, Huang LS (2003) Fault-tolerant Kalman filter for attitude parameters of the spin stabilized satellite. Chin Space Sci Technol 23:66–71
Hu SL, Sun GJ (1999) Statistical diagnosis method for outliers from spacecraft tracking data. J Astronaut 20:68–74
Li YS (2013) Wavelet based outlier correction for power controlled turning point detection in surveillance systems. Econ Model 30:317–321
Li YS, Reese S (2014) Wavelet improvement in turning point detection using a hidden Markov model: from the aspects of cyclical identification and outlier correction. Comput Stat 29:1481–1496
Li ZX, Zhang HJ (2008) Application of wavelet transform in telemetry data outliers eliminating. Aero Weaponry 45–47
Li AL, Guo CF, Cai H (2011) Identification and elimination of outliers in geomagnetic measurement data. J Spacecr TT&C Technol 30:89–94
Liu J, Deng HF (2013) Outlier detection on uncertain data based on local information. Knowl-Based Syst 51:60–71
Mallat SG (1989) Multiresolution approximations and wavelet orthonormal bases of \( L \) 2(\( R \)). Trans Am Math Soc 315:69–87
Mallat SG (1999) A wavelet tour of signal processing. Academic, London
Rao KD, Swamy MNS, Plotkin EI (2004) GPS navigation with increased immunity to modeling errors. IEEE Trans Aerosp Electron Syst 40:2–11
Rizzo P, Sorrivi E, Scalea FLD, Viola E (2007) Wavelet-based outlier analysis for guided wave structural monitoring: application to multi-wire strands. J Sound Vib 307:52–68
Shen MX, Liu DR, Shann SH (2015) Outlier detection from vehicle trajectories to discover roaming events. Inf Sci 292:242–254
Wang ZM, Wang BZ (1997) One by one-method of outliers rejection. Math Pract Theory 27:266–274
Xu YH, Iglewicz B, Chervoneva I (2014) Robust estimation of the parameters of g-and-h distributions, with applications to outlier detection. Comput Stat Data Anal 75:66–80
Zhu ZM, Qiu HX, Li JS, Huang YX (2004) Identification and elimination of outliers in dynamic measurement data. Syst Eng Electron 26:147–149
Zhuo N (2008) Study on Outlier eliminating method for data processing of exterior trajectory. J Test Meas Technol 22:313–317
Acknowledgements
This work is supported by the National Natural Science Foundation (NNSF) of People’s Republic of China (Grant No. 5127549).
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Ma, Z., Liu, W. Outlier correction method of telemetry data based on wavelet transformation and Wright criterion. Multimed Tools Appl 75, 14477–14489 (2016). https://doi.org/10.1007/s11042-015-3241-x
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DOI: https://doi.org/10.1007/s11042-015-3241-x