On the role of biorthonormality in representation of random processes

IEEE Transactions on Information Theory

Volumn 42, Issue 1, 1996, Pages 288-290

  Segalescu, Victor A ^a   Zibulski, Meir ^a   Zeevi, Yehoshua Y ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Biorthonormal bases; Decorrelation of random processes; Karhunen Lo ve expansion

Indexed keywords

APPROXIMATION THEORY; CORRELATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ERRORS; RANDOM PROCESSES; RELAXATION PROCESSES;

APPROXIMATION ERROR FUNCTION; BIORTHONORMALITY; DECORRELATION OF RANDOM PROCESSES; KARHUNEN-LOEVE EXPANSION; UNCORRELATED RANDOM VARIABLES;

INFORMATION THEORY;

EID: 0029752501     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.481806     Document Type: Article

References (8)

1. B. H. Bharucha and T. T. Kadota, "On the representation of continuous parameter processes by a sequence of random variables," IEEE Trans. Inform. Theory, vol. IT-16, pp. 139-141, 1970.
2. T. T. Kadota, "Simultaneous diagonalization of two covariance kernels and application to second order stochastic processes," SIAM J. Appl. Math., vol. 15, pp. 1470-1480, 1967.
3. _, "Simultaneously orthogonal expansions of two stationary Gaussian processes - Examples," Bell Syst. Tech. J., vol. 45, pp. 1071-1096. 1966.
4. B. H. Bharucha, "A posteriori probability and detection theory," Inform. Contr., vol. 14, pp. 98-132, 1969.
5. K. Fukunaga and W. L. G. Koontz, "Representation of random processes using the finite Karhunen-Loève expansion," Inform. Contr., vol. 16. pp. 85-101, 1970.
6. M. Loève, Probability Theory, 2nd ed. Princeton, N.J.: Van Nostrand, 1960.
7. J. R. Higgins, Completeness and Basis Properties of Sets of Special Functions Cambridge, UK: Cambridge Univ. Press, 1977.
8. H. L. Van Trees, Detection, Estimation, and Modulation Theory, Part I. New York: Wiley, 1968.