New Algorithm for Solving Block Matrix Equations with Applications in 2-D AR Spectral Estimation

IEEE Transactions on Signal Processing

Volumn 39, Issue 3, 1991, Pages 759-764

  Tummala, Murali ^a  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL FILTERING AND PREDICTION; SPECTRUM ANALYSIS;

BLOCK MATRIX EQUATIONS; SPECTRAL ESTIMATION; TOEPLITZ MATRICES;

MATHEMATICAL TECHNIQUES;

EID: 0026124408     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.80868     Document Type: Article

References (9)

1. D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1984.
2. C. W. Therrien and H. T. El-Shaer, “Multichannel 2-D AR spectrum estimation,'' IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 11, pp. 1798–1800, Nov. 1989.
3. M. Wax and T. Kailath, “Efficient inversion of Toeplitz-block Toeplitz matrix,'' IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-31, no. 5, 1218–1221, Oct. 1983.
4. H. Akaike, “Block Toeplitz matrix inversion,” SIAM J. Appl. Math., vol. 24, no. 2, pp. 234–241, Mar. 1973.
5. W. F. Trench, “Inversion of Toeplitz band matrices,” Math. Computat., vol. 28, no. 128, pp. 1089–1095, Oct. 1974.
6. J. H. Justice, “A Levinson-type algorithm for two-dimensional Wienef filtering using bivariate Szego polynomials,” Proc. IEEE, vol. 65, no. 6, pj5. 882–886, June 1977.
7. D. M. Young, Iterative Solution of Large Linear Systems. New York: Academic, 1971.
8. M. Tummala, “Efficient iterative methods for FIR least squares identification,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, no. 5, May 1990.
9. M. Oshmann, “An iterative method for the identification of MA systems,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, no. 1, pp. 106–109, Jan. 1988.