Generalized Millman's formula and its application for estimation problems

  • Authors:
  • Vladimir Shin;Younghee Lee;Tae-Sun Choi

  • Affiliations:
  • Department of Mechatronics, Gwangju Institute of Science and Technology, Buk-Gu, Gwangju, Republic of Korea;Department of Mathematics Education, Kyungnam University, Happo-Gu, Masan, Republic of Korea;Department of Mechatronics, Gwangju Institute of Science and Technology, Buk-Gu, Gwangju, Republic of Korea

  • Venue:
  • Signal Processing
  • Year:
  • 2006

Quantified Score

Hi-index 0.08

Visualization

Abstract

We derive an optimal combination of arbitrary number correlated estimates. In particular, for two estimates this combination represents the well-known Millman and Bar-Shalom-Campo formulae for uncorrelated and correlated estimation errors, respectively. This new result is applied to the various estimation problems as least-squares estimation, Kalman filtering, and adaptive filtering. The new approximate reduced-order estimators with parallel structure are presented. A practical implementation issue to consider these estimators is also addressed. Examples demonstrate the accuracy and efficiency of application of the generalized Millman's formula.