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Envelope-constrained filters with uncertain input

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Abstract

In an envelope-constrained filtering problem with uncertain input the set of possible input waveforms and the set of permissible output waveforms are each defined by envelope constraints (time domain inequalities). The object is to find the optimal (minimal norm) inpulse response for which every waveform in the input envelope evokes a response in the output envelope. The problem is solved by extending earlier results for a single specified input. The solution is further extended to allow for unknown-but-bounded errors in the filter realization.

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References

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Newcastle, 2308, Newcastle, N.S.W., Australia

    K. M. Ahmed

Authors
  1. Robin J. Evans
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  2. A. Cantoni
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  3. K. M. Ahmed
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Additional information

Research supported by the CSIRO and the Australian Research Grants Committee.

Part of this work was carried out while the first author was at the Control and Management Systems Division of Cambridge University, UK.

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Evans, R.J., Cantoni, A. & Ahmed, K.M. Envelope-constrained filters with uncertain input. Circuits Systems and Signal Process 2, 131–154 (1983). https://doi.org/10.1007/BF01599154

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  • DOI: https://doi.org/10.1007/BF01599154

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