Asymptotic analysis of multidimensional jittered sampling

IEEE Transactions on Signal Processing

Volumn 58, Issue 1, 2010, Pages 258-268

  Nordio, Alessandro ^a   Chiasserini, Carla Fabiana ^a   Viterbo, Emanuele ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Error analysis; Signal reconstruction; Signal sampling

Indexed keywords

ARBITRARY DISTRIBUTION; BAND-LIMITED SIGNAL; CLOSED-FORM EXPRESSION; D-DIMENSIONAL GRIDS; DIMENSIONAL VECTORS; DISTRIBUTION MOMENTS; EIGENVALUE DISTRIBUTIONS; JITTERED SAMPLING; LINEAR RECONSTRUCTION; MATRIX SIZE; RANDOM MATRICES; RECONSTRUCTION ERROR; SIGNAL PROCESSING APPLICATIONS; SIGNAL SAMPLING;

ASPECT RATIO; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; RANDOM PROCESSES; RANDOM VARIABLES; REPAIR; SIGNAL ANALYSIS; SIGNAL PROCESSING; SIGNAL RECONSTRUCTION;

ASYMPTOTIC ANALYSIS;

EID: 72949100809     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2028096     Document Type: Article

References (24)

1. A. Nordio, C.-F. Chiasserini, and E. Viterbo, "Performance of linear field reconstruction techniques with noise and uncertain sensor locations," IEEE Trans. Signal Process., vol.56, pp. 3535-3547, Aug. 2008.
2. A. Nordio, C.-F. Chiasserini, and E. Viterbo, "The impact of quasiequally spaced sensor layouts on field reconstruction," in Proc. Int. Symp. Inf. Process. Sens. Netw. (IPSN 2007), Cambridge, MA, Apr. 2007.
3. A. Nordio, C.-F. Chiasserini, and E. Viterbo, "Reconstruction of multidimensional signals from irregular noisy samples," IEEE Trans. Signal Process., vol.56, pp. 4274-4285, Sep. 2008.
4. A. Nordio, A. Muscariello, and C.-F. Chiasserini, "Signal compression and reconstruction in clustered sensor networks," in Proc. ICC 2008, Beijing, China, 2008.
5. Oslash;. Ryan and M. Debbah, Random Vandermonde Matrices-Part I: Fundamental Results [Online]. Available: http://arxiv.org/abs/0802. 3570v1
6. Oslash;. Ryan and M. Debbah, Random Vandermonde Matrices-Part II: Applications [Online]. Available: http://arxiv.org/abs/0802.3572v1
7. D. Ganesan, S. Ratnasamy,H.Wang, and D. Estrin, "Coping with irregular spatio-temporal sampling in sensor networks," ACM SIGCOMM, pp. 125-130, Jan. 2004.
8. K. Abed-Meraim, P. Loubaton, and P. Moline's, "A subspace algorithm for certain blind identification problems," IEEE Trans. Inf. Theory, vol.43, pp. 499-511, Mar. 1997. (Pubitemid 127827970)
9. Oslash;. Ryan and M. Debbah, Free Deconvolution for Signal Processing Applications [Online]. Available: http://arxiv.org/abs/cs.IT/0701025.
10. V. A. Marčenko and L. A. Pastur, "Distribution of eigenvalues for some sets of random matrices," USSR Sbornik, vol.1, pp. 457-483, 1967.
11. P. Billingsley, Probability and Measure, 3 ed. New York: Wiley, 1995.
12. L. Li, A. M. Tulino, and S. Verdù, "Asymptotic eigenvalue moments for linear multiuser detection," Commun. Inf. Syst., vol.1, no.3, pp. 273-304, Sep. 2001.
13. A. Tulino and S. Verdú, "Random matrix theory and wireless communications," Found. Trends Commun. Inf. Theory, vol.1, no.1, 2004.
14. E. W. Weisstein, Bell Number Math World-A Wolfram Web Resource [Online]. Available: http://mathworld.wolfram.com/BellNumber.html.
15. E. W. Weisstein, Stirling Number of the Second Kind MathWorld-A Wolfram Web Resource [Online]. Available: http://mathworld.wolfram.com/ StirlingNumberoftheSecondKind.html.
16. The On-Line Encyclopedia of Integer Sequences [Online]. Available: http://www.research.att.com/̃njas/sequences/A001263.
17. I. Dumitriu and E. Rassart, "Path counting and random matrix theory," The Electron. J. Combinator., vol.10, no.1, 2003.
18. Y.-C. Jenq, "Perfect reconstruction of digital spectrum from nonuniformly sampled signals," IEEE Trans. Instrum. Measure., vol.46, no.3, pp. 649-652, Jun. 1997.
19. P. Zhao, C. Zhao, and P. G. Casazza, "Perturbation of regular sampling in shift-invariant spaces for frames," IEEE Trans. Inf. Theory, vol.52, pp. 4643-4648, Oct. 2006.
20. D. S. Early and D. G. Long, "Image reconstruction and enhanced resolution imaging from irregular samples," IEEE Trans. Geosci. Remote Sens., vol.39, pp. 291-302, Feb. 2001.
21. H. G. Feichtinger, K. Gröchenig, and T. Strohmer, "Efficient numerical methods in non-uniform sampling theory," Numerische Mathematik, vol.69, pp. 423-440, 1995.
22. A. V. Balakrishnan, "On the problem of time jitter in sampling," IRE Trans. Inf. Theory, pp. 226-236, Apr. 1962.
23. R. L. Cook, "Stochastic sampling in computer graphics," ACM Trans. Graphics, vol.5, no.1, pp. 51-72, Jan. 1986.
24. X. Zhu, A. T. S. Ho, and P. Marziliano, "Image authentication and restoration using irregular sampling for traffic enforcement applications," in Proc. First Int. Conf. Innovat. Comput., Inf. Control (ICICIC) 2006, Aug. 2006, pp. 62-65.