Wiener filters in canonical coordinates for transform coding, filtering, and quantizing

IEEE Transactions on Signal Processing

Volumn 46, Issue 3, 1998, Pages 647-654

  Scharf, Louis L ^a   Thomas, John K ^a  

^a UCB 450   (United States)

Author keywords

Adaptive filtering; Canonical coordinates; Canonical correlations; Quantizing; Transform coding; Wiener filters

Indexed keywords

ADAPTIVE FILTERING; DIGITAL SIGNAL PROCESSING; MARKOV PROCESSES; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; VECTORS;

CANONICAL COORDINATES; GAUSS MARKOV THEOREM; QUANTIZING; WIENER FILTERS;

DIGITAL FILTERS;

EID: 0032023788     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.661332     Document Type: Article

References (12)

1. H. Hotelling, "Analysis of a complex pair of statistical variables into principle components," J. Educ. Psycho!., vol. 24, pp. 417-441, 498-520, 1933.
2. _, "Relations between two sets of variâtes," Biometrika, vol. 28, pp. 321-377, 1936.
3. T. W. Anderson, An Introduction to Multivariate Statistical Analysis. New York: Wiley, 1958.
4. M. L. Eaton, Multivariate Statistics: A Vector Space Approach. New York: Wiley, 1983.
5. K. V. Mardia, J. T. Kent, and J. M. Bibby, Multivariate Analysis. London, U.K.: Academic, 1979, 1995.
6. C. E. Shannon, "A mathematical theory of communication," Bell Syst. Tech. J., vol. 27, pp. 379-423, 623-656, 1948.
7. _, "Coding theorem for a discrete source with a fidelity criterion," in IRE Nat. Conv. Rec., 1959, pt. 4, pp. 142-163.
8. L. L. Scharf, Statistical Signal Processing. Reading, MA: Addison-Wesley, 1991, pp. 330-331.
9. L. L. Scharf and D. W. Tufts, "Rank reduction for modeling stationary signals," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 350-355, Mar. 1987.
10. A. Segall, "Bit allocations and encoding for vector sources," IEEE Trans. Inform. Theory, vol. IT-22, pp. 162-169, Mar. 1976.
11. J. S. Goldstein and I. S. Reed, "Reduced-rank adaptive filtering," in Proc. 1CASSP, Atlanta, GA, 1996.
12. S. D. Voran and L. L. Scharf, "Memoryless scalar quantizers for noisy environments," Nat. Sei. Foundation Cent. Optoelectron. Comput. Syst., Univ. Colorado, Boulder, Tech. Rep., 1989.