The TLS method is an unbiased estimator for solving the overdetermined set of linear equations when errors occur in all data. However it doesn't show robustness while the errors have a heavy tailed pdf. In this letter we derive a robust method of TLS (ROTLS) based on the characteristics of TLS solution, where the performance of ROTLS is verified by applying it to the system identification problem.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Yong-Jin CHOI, Jin-Young KIM, K.M. SUNG, "A Robust Algorithm of Total Least Squares Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 7, pp. 1336-1339, July 1997, doi: .
Abstract: The TLS method is an unbiased estimator for solving the overdetermined set of linear equations when errors occur in all data. However it doesn't show robustness while the errors have a heavy tailed pdf. In this letter we derive a robust method of TLS (ROTLS) based on the characteristics of TLS solution, where the performance of ROTLS is verified by applying it to the system identification problem.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_7_1336/_p
Copy
@ARTICLE{e80-a_7_1336,
author={Yong-Jin CHOI, Jin-Young KIM, K.M. SUNG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Robust Algorithm of Total Least Squares Method},
year={1997},
volume={E80-A},
number={7},
pages={1336-1339},
abstract={The TLS method is an unbiased estimator for solving the overdetermined set of linear equations when errors occur in all data. However it doesn't show robustness while the errors have a heavy tailed pdf. In this letter we derive a robust method of TLS (ROTLS) based on the characteristics of TLS solution, where the performance of ROTLS is verified by applying it to the system identification problem.},
keywords={},
doi={},
ISSN={},
month={July},}
Copy
TY - JOUR
TI - A Robust Algorithm of Total Least Squares Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1336
EP - 1339
AU - Yong-Jin CHOI
AU - Jin-Young KIM
AU - K.M. SUNG
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1997
AB - The TLS method is an unbiased estimator for solving the overdetermined set of linear equations when errors occur in all data. However it doesn't show robustness while the errors have a heavy tailed pdf. In this letter we derive a robust method of TLS (ROTLS) based on the characteristics of TLS solution, where the performance of ROTLS is verified by applying it to the system identification problem.
ER -