Lattice-theoretic analysis of time-sequential sampling of spatiotemporal signals - part II: Large space-bandwidth product asymptotics

IEEE Transactions on Information Theory

Volumn 43, Issue 1, 1997, Pages 208-220

  Parker Willis, N ^a,b   Bresler, Yoram ^a,c  

^a IEEE   (United States)

^b Cardiac Pathways Corp   (United States)

^c University of Illinois at Urbana Champaign   (United States)

Author keywords

Asymptotics; Bounds; Geometry of numbers; Harmonic analysis; Optimum multidimensional sampling; Source coding

Indexed keywords

HARMONIC ANALYSIS; OPTIMIZATION; SAMPLING; SIGNAL ENCODING; SIGNAL THEORY;

OPTIMUM MULTIDIMENSIONAL SAMPLING; SOURCE CODING; ZERO ALIASING ERROR;

DATA COMPRESSION;

EID: 0030869818     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.567686     Document Type: Article

References (12)

1. N. P. Willis and Y. Bresler, "Lattice-theoretic analysis of time-sequential sampling of spatiotemporal signals, Part I," this issue, pp. 190-207.
2. J. W. Cassels, An Introduction to the Geometry of Numbers. Berlin, Germany: Springer-Verlag, 1959.
3. P. M. Gruber and C. G. Lekkerkerker, Geometry of Numbers, 2nd ed. Amsterdam, The Netherlands: North-Holland, 1987.
4. A. S. Householder, The Theory of Matrices in Numerical Analysis. New York: Dover, 1964.
5. H. J. Landau, "Necessary density conditions for sampling and interpolation of certain entire functions," Acta Math., vol. 117, pp. 37-52, feb. 1967.
6. _, "Sampling, data transmission, and the Nyquist rate," Proc. IEEE, vol. 55, pp. 1701-1706, oct. 1967.
7. Y. Bresler and N. P. Willis, "Unified theory of time-sequential sampling," in Proc. IS&T/SPIE Conf. Electr. Imaging Sci. and Tech. (San Jose, CA, feb. 1993), pp. 37-50.
8. N. P. Willis, "Optimum sampling and interpolation with applications to medical imaging," Ph.D. dissertation, Univ. of Illinois at Urbana-Champaign, 1992.
9. K. F. Cheung, "A multidimensional extension of Papoulis' generalized sampling expansion with the application in minimum density sampling," in Advanced Topics in Shannon Sampling and Interpolation Theory, R. J. Marks, II, Ed. New York: Springer-Verlag, 1993, ch. 3, pp. 85-119.
10. N. P. Willis and Y. Bresler, "Optimal scan design for time varying to-mographic imaging I: Theoretical analysis and fundamental limitations," IEEE Trans. Image Processing, vol. 4, pp. 642-653, may 1995.
11. _, "Optimal scan design for time varying tomographic imaging II: Efficient design and experimental validation," IEEE Trans. Image Processing, vol. 4, pp. 654-666, may 1995.
12. _, "A lattice-theoretic approach to time-sequential sampling design," in preparation.