Relative Karhunen-Loève transform

IEEE Transactions on Signal Processing

Volumn 44, Issue 2, 1996, Pages 371-378

  Yamashita, Yukihiko ^a,b   Ogawa, Hidemitsu ^a,b  

^a IEEE

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CORRELATION METHODS; DATA COMPRESSION; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; INTERFERENCE SUPPRESSION; OPTIMIZATION; PROBLEM SOLVING; SIGNAL PROCESSING; WHITE NOISE;

KARHUNEN-LOEVE TRANSFORMS; LINEAR DATA COMPRESSION; MEAN SQUARED ERROR; STOCHASTIC SIGNAL;

MATHEMATICAL TRANSFORMATIONS;

EID: 0030086404     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.485932     Document Type: Article

References (17)

1. K. Fukunaga, Introduction to Statistical Pattern Recognition. London: Academic, 1972.
2. H. C. Andrews, Two-dimensional transforms," in Picture Processing and Digital Filtering, T. S. Huang Eds. Berlin: Springer-Verlag, 1979, pp. 21-68.
3. P. A. Devijver and J. Kittler, Pattern Recognition: A Statistical Approach. Englewood Cliffs, NJ: Prentice-Hall, 1982.
4. E. Oja, Subspace Methods of Pattern Recognition. Letchwortn, Hertfordshire, UK: Research Studies, 1983.
5. H. Ogawa and E. Oja, "Projection filter, Wiener filter and Karhunen-Loève subspaces in digital image restoration," J. Math. Anal. Appl., vol. 114, no. 1, pp. 37-51, Feb. 1986.
6. H. Ogawa, "On the subspace which provides the best approximation to a set of patterns," Tech. Rep. IEICE, no. PRU90-27, pp. 67-72, Oct. 1990 (in Japanese).
7. _, "Karhunen-Loeve subspace," in Proc. llth IAPR Int. Conf. Patt. Recogn., The Hague, The Netherlands, vol. 2, Aug. 30-Sept. 3 1992. -pp. 75-78.
8. Y. Yamashita, Y. Taniguchi, and H. Ogawa, "Relative Karhunen-Loève subspace," in Proc. 1992 IEICE Spring Conf., Noda, Japan, vol. 7, Mar. 24-27 1992, p. 263 (in Japanese).
9. D. Kazakos, "Optimal constrained representation and filtering of signal," Signal Processing, vol. 5, no. 4, pp. 347-353, July 1983.
10. P. C. Mahalanobis, "Normalization of statistical variates and the use of rectangular coordinates in the theory of sampling distributions," Sankhay, vol. 3. no. 1. pp. 1-40, Jan. 1937.
11. Y. Yamashita and H. Ogawa, "Image restoration by averaged projection filter," Trans. IEICE, Part D-II, vol. J74-D-II, no. 2, pp. 150-157, Feb. 1991.
12. (Translation in English: Y. Yamashita and H. Ogawa, "Image restoration by averaged projection filter," Syst. Comput. Japan, vol. 23, no. 1, pp. 79-88, Apr. 1992.)
13. _, "Properties of averaged projection filter for image restoration," Trans. IEICE, Part D-II, vol. J74-D-II, no. 2, pp. 142-149, Feb. 1991.
14. (Translation in English: Y. Yamashita and H. Ogawa, "Properties of averaged projection filter for Image restoration," Syst. Comput. Japan, vol. 23, no. 1, pp. 69-78, Apr. 1992.)
15. R. Schatten, Norm Ideals of Completely Continuous Operators. Berlin: Springer-Verlag, 1970.
16. A. Albert, Regression and the Moore-Penrose Pseudo-inverse. London: Academic, 1972.
17. A. Ben-Israel and T. N. E. Greville, Generalized Inverses: Theory and Applications. New York: Wiley, 1974.