Discrete double-sided Karhunen-Loève expansion

The double-sided form of the Karhunen-Loeve expansion based on the singular value decomposition of matrices is developed. It has applications in data analysis, contraction and prediction in two-dimensional processes.

[1]  Two-stage predictor of air pollution adapted to daily fluctuation , 1979 .

[2]  K. Fernando,et al.  Karhunen-Loève expansion with reference to singular-value decomposition and separation of variables , 1980 .

[3]  Harry C. Andrews,et al.  Outer Product Expansions and Their Uses in Digital Image Processing , 1976, IEEE Transactions on Computers.

[4]  G. Brier,et al.  Eigenvector Analysis for Prediction of Time Series , 1976 .

[5]  C. C. Macduffee,et al.  The Theory of Matrices , 1933 .

[6]  H. Nicholson.  Structure of interconnected systems , 1978 .

[7]  Kenneth L. Caspari,et al.  Computer techniques in image processing , 1972 .

[8]  H. Nicholson,et al.  The prediction of traffic flow volumes based on spectral analysis , 1974 .

[9]  Julian R. Ullmann,et al.  Pattern recognition techniques , 1973 .

[10]  A. D. Kulkarni,et al.  Shift variant image degradation and restoration using SVD , 1979 .

[11]  W. Larimore,et al.  Statistical inference on stationary random fields , 1977, Proceedings of the IEEE.

[12]  Alexander A. Sawchuk,et al.  Restoration of astigmatism and curvature of field , 1975 .

[13]  Julius T. Tou,et al.  Pattern Recognition Principles , 1974 .

[14]  H. Nicholson.  Sequential least-squares prediction based on spectral analysis , 1972 .

[15]  G. E. Albert.  Statistical Methods in Prediction, Filtering, and Detection Problems , 1960 .

[16]  H. Nicholson,et al.  Techniques for load prediction in the electricity-supply industry , 1968 .

[17]  Ivan Selin,et al.  The Sequential Estimation and Dectection of Signals in Normal Noise. I , 1964, Inf. Control..

[18]  Michel Loève,et al.  Probability Theory I , 1977 .

[19]  K. R. Rao,et al.  Orthogonal Transforms for Digital Signal Processing , 1979, IEEE Transactions on Systems, Man, and Cybernetics.