A theorem on the asymptotic eigenvalue distribution of toeplitz-block-toeplitz matrices

IEEE Transactions on Signal Processing

Volumn 44, Issue 7, 1996, Pages 1837-1841

  Voois, Paul A ^a  

^a Integrated Information Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; FUNCTIONS; MAGNETIC RECORDING; MATRIX ALGEBRA; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; VECTORS;

ASYMPTOTIC EIGENVALUE DISTRIBUTION; MAGNETIC RECORDING SYSTEMS; SHANNON CAPACITY; TOEPLITZ-BLOCK TOEPLITZ STRUCTURE; TWO-DIMENSIONAL DISCRETE RANDOM PROCESS;

SIGNAL PROCESSING;

EID: 0030196768     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.510633     Document Type: Article

References (8)

1. U. Grenander and G. Szegö, Toeplitz Forms and Their Applications. Berkeley: University of California Press, 1958.
2. M. Wax and T. Kailath, "Efficient inversion of Toeplitz-block Toeplitz matrix," IEEE Trans. Acoustics, Speech Signal Processing, vol. 31, no. 5, pp. 1218-1221, Oct. 1983.
3. P. A. Voois, "Two-dimensional signal processing for magnetic storage systems," Ph.D. thesis, Stanford Univ., 1993.
4. R. M. Gray, "On the asymptotic eigenvalue distribution of Toeplitz matrices," IEEE Trans. Inform. Theory, vol. IT-18, no. 6, pp. 725-730, Nov. 1972.
5. _, "Toeplitz and circulant matrices: A review," Stanford Electron. Lab., Tech. Rep., June 1971.
6. T. Koga and F. Cheng, "Extension of the Toeplitz theorem and its application," in Proc. GLOBECOM '87, Tokyo, Nov. 1987.
7. F. Cheng and A. N. Venetsanopoulos, "Extension of the Toeplitz theorem to the 2-D case and its application to information theory," in Proc. 1990 IEEE Int. Symp. Circuits Syst., New Orleans, May 1990.
8. P. J. Davis, Circulant Matrices, Pure and Applied Mathematics. New York; Wiley, 1979.