QR-Based Algorithms for Multichannel Adaptive Least Squares Lattice Filters

IEEE Transactions on Acoustics, Speech, and Signal Processing

Volumn 38, Issue 3, 1990, Pages 421-432

  Lewis, Paul S ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; MATHEMATICAL TECHNIQUES--LEAST SQUARES APPROXIMATIONS;

GIVENS ROTATIONS; MAGNETOENCEPHALOGRAPHIC SIGNALS;

SIGNAL FILTERING AND PREDICTION;

EID: 0025403528     PISSN: 00963518     EISSN: None     Source Type: Journal    
DOI: 10.1109/29.106861     Document Type: Article

References (23)

1. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1986.
2. S. T. Alexander, Adaptive Signal Processing. New York: Springer-Verlag, 1986.
3. M. G. Bellanger, Adaptive Digital Filters and Signal Analysis. New York: Marcel Dekker, 1987.
4. B. Friedlander, “Lattice filters for adaptive processing,” Proc. IEEE, vol. 70, pp. 829–867, Aug. 1982.
5. S. Y. Kung, S. N. Jean, S. C. Lo, and P. S. Lewis, “Design methodologies for systolic arrays: mapping algorithms to architecture,” in Signal Processing Handbook, C. H. Chen, Ed. New York: Marcel Dekker, 1988, ch. 6, pp. 145–191.
6. S. Y. Kung, VLSI Array Processors. Englewood Cliffs, NJ: Prentice-Hall, 1988.
7. P. S. Lewis, “Systolic architectures for adaptive multichannel least squares lattice filters,” in Systolic Array Processors, J. McCanny et al., Eds. Englewood Cliffs, NJ: Prentice-Hall, 1989, pp. 237–246.
8. —, “QR algorithm and array architectures for multichannel adaptive least squares lattice filters,” in Proc. IEEE 1988 Int. Conf. Acoust., Speech, Signal Processing, New York, Apr. 1988, pp. 2041–2044.
9. —, “Algorithms and architectures for adaptive least squares signal processing, with applications in magnetoencephalography,” Ph.D. dissertation, Univ. Southern California, Dep. Elec. Eng.—Syst., Los Angeles, CA, Aug. 1988; Los Alamos National Laboratory Rep. LA-11409-T, Oct. 1988.
10. F. Ling and J. G. Proakis, “A generalized multichannel least squares lattice algorithm based on sequential processing stages,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 381–389, Apr. 1984.
11. H. Sakai, “Circular lattice filter using Pagano's method,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 279–287, Apr. 1982.
12. T. Kawase, H. Sakai, and H. Tokumaru, “Recursive least squares circular lattice and escalator estimation algorithms,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, pp. 228–231, Feb. 1983.
13. H. Lev-Ari, “Modular architectures for adaptive multichannel lattice algorithms,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 543–552, Apr. 1987.
14. P. S. Lewis, “Multichannel adaptive least squares—Relating the “Kaiman” recursive least squares (RLS) and least squares lattice (LSL) adaptive algorithms,” in Proc. IEEE 1988 Int. Conf. Acoust., Speech, Signal Processing, New York, Apr. 1988, pp. 1926–1929.
15. J. M. Cioffi and T. Kailath, “Fast, recursive least squares transversal filters for adaptive filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-32, pp. 304–337, Apr. 1984.
16. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: The Johns Hopkins University Press, 1983.
17. J. M. Mendel, Lessons in Digital Estimation Theory. Englewood Cliffs, NJ: Prentice-Hall, 1987.
18. J. G. McWhirter, “Recursive least squares minimization using a systolic array,” in Proc. SPIE Real Time Signal Processing VI, 1983, p. 105–112.
19. W. M. Gentleman, “Least squares computations by Givens transformations without square roots,” J. Inst. Math. Appl., vol. 12, pp. 329–336, 1973.
20. S. Hammarling, “A note on modifications to the Givens plane rotation,” J. Inst. Math. Appl., vol. 13, pp. 215–218, 1974.
21. J. H. Wilkinson, “Some recent advances in numerical linear algebra,” in The State of the Art in Numerical Analysis, D. Jacobs, Ed. New York: Academic, 1977, pp. 3–54.
22. S. J. Williamson and L. Kaufman, “Biomagnetism,” J. Magnetism Magnetic Materials, vol. 22, pp. 722–724, 1980.
23. G. W. Sullivan, P. S. Lewis, J. S. George, and E. R. Flynn, “A magnetic shielded room designed for magnetoencephalography,” Rev. Sci. Instrum., vol. 60, no. 4, pp. 765–770, Apr. 1989.