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Porter, W. A.

Comparative performance of polynomial signal extraction. (English) Zbl 0529.93059

Circuits Syst. Signal Process 1, 93-104 (1982).
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MSC:

93E11 Filtering in stochastic control theory
62L20 Stochastic approximation
58C99 Calculus on manifolds; nonlinear operators
60G35 Signal detection and filtering (aspects of stochastic processes)
93E10 Estimation and detection in stochastic control theory
62J10 Analysis of variance and covariance (ANOVA)

Keywords:

polynomial signal extraction; polynomic operators; causal constraints; polynomial map; nonlinear design

Citations:

Zbl 0438.93066
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Full Text: DOI

References:

[1] Porter, W. A., ”Multiple Signal Extraction by Polynomic Filtering”, Math. Systems Theory, Vol. 13, 1980, pp. 237–254. · Zbl 0438.93066 · doi:10.1007/BF01744298
[2] Porter, W. A., ”On Factoring the Polyvariance Operator”, Math. Systems Theory, to appear, 1980. · Zbl 0456.93059
[3] Balakrishnan, A. V.,Applied Functional Analysis, Springer-Verlag, New York, 1976. · Zbl 0333.93051
[4] Greub, W.,Multilinear Algebra, Springer-Verlag, New York, 1978.
[5] Feintuch, A., Saeks, R. and Neil, C., ”A New Performance Measure For Stochastic Optimization in Hilbert Space”, Inst. for Electronic Sciences Report, Texas Tech., 1980. · Zbl 0481.93066
[6] DeSantis, R. M., Saeks, R. and Tung, L., ”Basis Optimal Estimation and Control Problems in Hilbert Space”, J. Mathematical System Theory, 1979, to appear.
[7] Porter, W. A., ”Synthesis of Polynomic Systems”, SIAM J. Math. Analysis II, No. 2, March 1980. · Zbl 0451.93022
[8] Faddeeva, J. N.,Computational Methods of Linear Algebra, Dover Publications, New York, 1959. · Zbl 0086.10802
[9] Pratt, W. K., Faugeras, O. D., and Gagalowicz, A., ”Visual Discrimination of Stochastic Texture Fields”, IEEE Trans. Systems, Man Cybernet. SMC-8, Nov. 1974, pp. 796–804.
[10] Julesz, B., Gilbert, E. N., and Victor, J. D., ”Visual Discrimination of Textures with Identical Third-Order Statistics”, Biol. Cybernet. 31, 1978, pp. 137–140. · doi:10.1007/BF00336998
[11] Caelli, T., and Julesz, B., ”On Perceptual Analyzers Underlying Visual Texture Discrimination”, I, Biol. Cybernet. 28, 1978, pp. 167–175. · doi:10.1007/BF00337138
[12] Conners, R. W., and Harlow, C. A., ”Toward a Structural Textural Analyzer Based on Statistical Methods”, Computer Graphics and Image Processing 12, 1980, pp. 224–256. · doi:10.1016/0146-664X(80)90013-1
[13] Porter, W. A. and DeSantis, R. M., ”Angular Factorizations of Matrices”, J. Math. Analysis and Applic., to appear, 1982. · Zbl 0488.15009
[14] DeSantis, R. M. and Porter, W. A., ”Operator Factorization on Partially Ordered Hilbert Resolution Spaces”, to appear. · Zbl 0505.93043
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