Identification and filtering

  title={Identification and filtering},
  author={Richard S. Bucy},
  journal={Mathematical systems theory},
A theory of the discrete Riccati equation asymptotic behavior for a degenerate filtering problem corresponding to prediction. As an application, ARMA identification is shown to be determined from the asymptotic behavior of the reflection coefficients. Explicitly the time constants of the reflection coefficient sequence determine the moving average portion of the process. This work completes earlier work of the author on “invariant directions” of the Riccati equation. 

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Publications referenced by this paper.
Showing 1-10 of 10 references

for the Riccati Equation, Proc

R. S. Bucy, A Priori Bound
Berkeley Sym. on Math. Statistics and Probability, Vol. 3, Univ. of California Press, • 1970
View 8 Excerpts
Highly Influenced

Correlated Noise Filtering and Invariant Directions for the Riccati Equation

R. S. Bucy, D. Rappaport, L. M. Silverman
IEEE Trans. on Auto. Control, AC-15, • 1970
View 6 Excerpts
Highly Influenced

Linear and Non-Linear Filtering

R. S. Bucy
Proc. IEEE. 58, • 1970
View 2 Excerpts


R. S. Bucy
D. Joseph, Filtering for Stochastic Processes with Applications to Guidance, Interscience, New York, • 1968
View 1 Excerpt


R. E. Kalman
S. Buoy, New Results in Linear Filtering and Prediction Theory, ASME Journal of Basic Eng., Series D, • 1961

Introduction to Matrix Analysis

R. E. Bellman
View 1 Excerpt


F. Riesz
Sz-Nagy, Functional Analysis, Ungar, New York, • 1955
View 1 Excerpt

Extrapolation Interpolation of Stationary Time

Levinson, Appendix in N. Wiener
View 2 Excerpts

Buoy , New Results in Linear Filtering and Prediction Theory

S. R.
ASME Journal of Basic Eng . , Series D

Correlated Noise Filtering and Invariant Directions for the Riccati Equation , IEEE Trans . on Auto

L. M. Silverman

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