Abstract
We obtain here a variational principle characterizing an optimal filter. This variational principle is dual to the one obtained by Berkovitz and Pollard in Ref. 2.
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Berkovitz, L. D., andPollard, H.,A Nonclassical Variational Problem Arising from an Optimal Filter Problem, I, Archive for Rational Mechanics and Analysis, Vol. 26, pp. 281–304, 1967.
Berkovitz, L. D., andPollard, H.,A Nonclassical Variational Problem Arising from an Optimal Filter Problem, II, Archive for Rational Mechanics and Analysis, Vol. 38, pp. 161–172, 1970.
Bhargava, S., andDuffin, R. J.,Network Models for Maximization of Heat Transfer under Weight Constraints, Networks, Vol. 2, pp. 285–299, 1972.
Bhargava, S., andDuffin, R. J.,Dual Extremum Principles Relating to Cooling Fins, Quarterly of Applied Mathematics, Vol. 31, pp. 27–41, 1973.
Bhargava, S.,Sharp Dual Estimates for Conductance of an Optimal Circular Cooling Fin, Journal of Optimization Theory and Applications, Vol. 19, pp. 565–575, 1976.
Bhargava, S., andDuffin, R. J.,Dual Extremum Principles Relating to Optimum Beam Design, Archive for Rational Mechanics and Analysis, Vol. 50, pp. 314–330, 1973.
Wiener, N.,Extrapolation, Interpolation, and Smoothing of Stationary Time Series, Chapter 3, The Technology Press of MIT and John Wiley and Sons, New York, New York, 1950.
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Communicated by L. D. Berkovitz
The author wishes to thank the referee for his valuable suggestions.
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Bhargava, S. Dual extremum principles relating to an optimal filter. J Optim Theory Appl 30, 583–588 (1980). https://doi.org/10.1007/BF01686722
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DOI: https://doi.org/10.1007/BF01686722