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Some aspects of a previously established minimax formulation of the robust Wiener filtering problem are considered. Existence results are obtained for least-favorable spectral pairs for general spectral-density uncertainty classes in the cases of general noncausal filtering and causal filtering in wide-sense Markov noise. Further, a general type of spectral-measure uncertainty class based on the notion of capacities is proposed. Existence results and a minimax theorem for robust filtering are established within this proposed framework, and a previously noted relationship between robust hypothesis testing and robust filtering is strengthened. Some possible extensions of earlier work on robust causal filtering are also discussed.

Original languageEnglish (US)
Pages (from-to)494-499
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1979
EventProc IEEE Conf Decis Control Incl Symp Adapt Processes 18th - Fort Lauderdale, FL, USA
Duration: Dec 12 1979Dec 14 1979

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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