Maximum-Likelihood Estimation of Delta-Domain Model Parameters From Noisy Output Signals

  • Authors:
  • V. Kadirkamanathan;S.R. Anderson

  • Affiliations:
  • Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield;-

  • Venue:
  • IEEE Transactions on Signal Processing - Part I
  • Year:
  • 2008

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Abstract

Fast sampling is desirable to describe signal transmission through wide-bandwidth systems. The delta-operator provides an ideal discrete-time modeling description for such fast-sampled systems. However, the estimation of delta-domain model parameters is usually biased by directly applying the delta-transformations to a sampled signal corrupted by additive measurement noise. This problem is solved here by expectation-maximization, where the delta-transformations of the true signal are estimated and then used to obtain the model parameters. The method is demonstrated on a numerical example to improve on the accuracy of using a shift operator approach when the sample rate is fast.