The effective rank: A measure of effective dimensionality

European Signal Processing Conference

Volumn , Issue , 2007, Pages 606-610

  Roy, Olivier ^a   Vetterli, Martin ^a,b  

^a EPFL   (Switzerland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COEFFICIENT RATE; NUMERICAL PROBLEMS; POTENTIAL APPLICATIONS; RANK DEFICIENCY; SIGNAL PROCESSING ALGORITHMS; STATIONARY RANDOM PROCESS;

RANDOM PROCESSES;

SIGNAL PROCESSING;

EID: 84863760515     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. A. van der Veen, E. Deprettere, and A. Swindlehurst, "Subspace-based signal analysis using singular value decomposition," Proceedings of the IEEE, vol. 81, pp. 1277-1308, September 1993.
2. P. Vandewalle, L. Sbaiz, J. Vandewalle, and M. Vetterli, "Super-resolution from unregistered and totally aliased signals using subspace methods," to appear in IEEE Transactions on Signal Processing, 2007.
3. I. Jovanović, L. Sbaiz, and M. Vetterli, "Tomographic approach for parametric estimation of local diffusive sources and applications to heat diffusion," to appear in IEEE International Conference on Image Processing, 2007.
4. L. L. Campbell, "Minimum coefficient rate for stationary random processes," Information and Control, vol. 3, pp. 360-371, December 1960.
5. R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Transactions on Information Theory, vol. 38, pp. 713-718, March 1992.
6. J. D. Gibson, S. P. Stanners, and S. A. McClellan, "Spectral entropy and coefficient rate for speech coding," Twenty-Seventh Asilomar Conference on Signals, Systems and Computers, vol. 2, pp. 925-929, November 1993.
7. W. Yang, J. D. Gibson, and T. He, "Coefficient rate and lossy source coding," IEEE Transactions on Information Theory, vol. 51, pp. 381-386, January 2005.
8. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge University Press, Cambridge, 1985.
9. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, vol. 143 of Mathematics in Science and Engineering. Academic Press, New-York, 5th ed., 1979.
10. W. Fulton, "Eigenvalues, invariant factors, highest weights, and Schubert calculus," Bulletin of the American Mathematical Society, vol. 36, no. 3, pp. 209-249, 2000.
11. R. M. Gray, "Toeplitz and circulant matrices: a review," Foundations and Trends in Communications and Information Theory, vol. 2, no. 3, pp. 155-239, 2006.
12. J. Chen, J. Benesty, and Y. Huang, "Robust time delay estimation exploiting redundancy among multiple microphones," IEEE Transactions on Speech and Audio Processing, vol. 11, pp. 549-557, November 2003.