Distributed Estimation

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In this lecture, we will take a look at the fundamentals of distributed estimation. We will consider a random variable being observed by mutiple sensors. Under the assumptions of Gaussian noises and linear measurements, we will derive the weighted covariance combination of estimators. We will then touch upon the issues of distributed static sensor fusion and estimation of a dynamic random variable. Towards the end, we will look at the problem of dynamic sensor fusion, i.e., distributing a Kalman filter so that multiple sensors can estimate a dynamic random variable.

Lecture Materials

Reading

  • Please refresh the material covered by Henrik a couple of weeks ago[1].

  • Consensus algorithms will be covered in detail in the class next week. We will also touch upon one such algorithm in passing. For more details, you can read this paper.[2].

  • Additional references are mentioned in the lecture notes. I particularly recommend references 11, 16 and 21. Most of the cited papers are available using IEEE Xplore[3]. If you are unable to obtain any, please send me [4] a mail.