Time-domain filtering for estimation of linear systems with colored noises using recent finite measurements

Hyun Duck Choi, Choon Ki Ahn, Myo Taeg Lim

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


To date, finite impulse response (FIR) filters have been proposed to estimate linear systems with white Gaussian noises, but to the best of our knowledge, no solution exists for linear systems with colored noises. In this paper, we propose a new FIR filter to estimate linear state-space models with both process and measurement noises through state augmentation. In addition, we suggest a modified form of the colored-noise FIR filter to deal with the computational burden and singularity problem. Numerical examples are presented to describe the effectiveness of the colored-noise FIR filter.

Original languageEnglish
Pages (from-to)2792-2797
Number of pages6
JournalMeasurement: Journal of the International Measurement Confederation
Issue number8
Publication statusPublished - 2013

Bibliographical note

Funding Information:
This work was supported by R&D Program of MOTIE/KEIT, Korea. The authors would like to thank the Ministry of Trade, Industry and Energy, Korea. (No: 10041779, Development of Energy Demand Response System for Smart Home).


  • Colored noises
  • Finite impulse response (FIR) structure
  • Inverse partitioned matrix
  • State augmentation
  • State estimation

ASJC Scopus subject areas

  • Instrumentation
  • Electrical and Electronic Engineering


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