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Letters To The Editor

White noise thery of prediction,filtering and Smoothing

Pages 117-123 | Published online: 04 Apr 2007

References

  • Balakrishnan , A. V. “ White noise models in non-linear filtering and control ” . Lect. Notes Cont. Inf. Sc
  • Balakrishnan , A. V. 1981 . “ Applied Functional Analysis ” . 2nd ed. Springer-Verlag .
  • Gross , L. 1962 . Measurable functions on Hilbert space . Trans. Amer. Main. Soc. , 164 : 411 – 426 .
  • Gross , L. 1965 . Abstract Wiener spaces, Proc. 5th Berkeley Symp . Math. Stat.& Prob. , 2 : 31 – 42 .
  • Hida , T. 1979 . “ Brownian Motion ” . Springer-Verlag .
  • Kailath , T. 1974 . A view of three decades of linear filtering . IEEE Trans. Inf. Th. , IT-20 ( 2 ) : 146 – 181 .
  • Kallianpur , G. and Karandikar , R. L. 1985 . “ White noise calculus and nonlinear filtering theory ” . In The Annals of Probability Vol. 13 , 1033 – 1107 .
  • Kallianpur , G. and Striebel , C. 1968 . Estimation of stochastic processes Arbitrary system process with white noise observation errors . Ann. Math. Statistics , 39 : 785 – 801 .
  • Kalman , R. E. 1960 . A new approach to linear filtering and prediction problems . J. Basic Eng. ASME , 82 : 33 – 45 .
  • Korezlioglu , H. and Mazziotto , G. 1984 . “ Approximation of nonlinear filters by periodic sampling and quantization ” . Lect. Notes Cont. Inf. Sc Vol. 62 , 553 – 567 .
  • Mazumdar , R. R. and Seo , J. H. 1988 . On the innovations problem in a finitely additive white noise approach to nonlinear filtering . Differential and Integral Equations , 1 ( 2 ) : 231 – 240 .
  • Shannon , C. E. and Weaver , W. 1949 . “ The Mathematical Theory of Communication ” . Urbana : The University of Illinois Press .
  • Wiener , N. 1949 . “ Extrapolation, Interpolation and Smoothing of Stationary Time Series ” . In With Engineering Applications , New York : Technology Press and Wiley .
  • Zakai , M. 1969 . On the optimal filtering of diffusion processes . Z. Wahrscheinlichkeitstheorie verw. Gebiete , 11 : 230 – 243 .

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