Wavelet basis reconstruction of nonuniformly sampled data

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 45, Issue 8, 1998, Pages 1165-1168

  Ford, C ^a   Etter, D M ^a  

^a UCB 450   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL THEORY; WAVELET TRANSFORMS;

NONUNIFORM SAMPLING;

SIGNAL RECONSTRUCTION;

EID: 0032139077     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.718832     Document Type: Article

References (21)

1. A. N. Akansu and R. A. Haddad, Mulüresolution Signal Decomposition. New York: Academic, 1992.
2. M. Coffey, "Boundary compensated wavelet transforms," Comprehensive Examination Rep., Univ. Colorado, 1996.
3. M. Coffey and D. M. Etter, "Image coding and the wavelet transform," in Proc. Int. Symp. Circuits Syst., Seattle, WA, May 1995.
4. __, "Edge-compensated wavelet analysis of irregularly supported two-dimensional fields," in Proc. Int. Symp. Opt. Sci. Eng. Instrument., Denver, CO, Aug. 1996.
5. G. Cressman, "An operational objective analysis system," Monthly Weather Rev., vol. 87, no. 10, Oct. 1959.
6. I. Daubechies, "Orthonormal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. 41, Nov. 1988.
7. __, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
8. J. C. Davis, Statistics and Data Analysis in Geology, 2nd ed. New York: Wiley, 1986.
9. R. Everson and L. Sirovich, "Karhunen-Loeve procedure for gappy data," Opt. Soc. Amer., vol. 12, no. 8, Aug. 1995.
10. H. G. Feichtinger and K. Gröchenig, "Irregular sampling theorems and series expansions of band-limited functions," Math. Anal. Appl., vol. 167, no. 2, July 1992.
11. H. G. Feichtinger, K. Gröchenig, and T. Strohmer, "Efficient numerical methods in nonuniform sampling theory," Numerische Mathematik, vol. 69, pp. 423-4440, 1995.
12. P. J. S. G. Ferreira, "Noniterative and fast iterative methods for interpolation and extrapolation," IEEE Trans. Signal Processing, vol. 42, pp. 3278-3282, Nov. 1994.
13. __, "Incomplete sampling series and the recovery of missing samples from oversampled band-limited signals," IEEE Trans. Signal Processing, vol. 40, pp. 225-227, Jan. 1992.
14. P. W. Fieguth, W. C. Karl, A. S. Willsky, and C. Wunsch, "Multiresolution optimal interpolation and statistical analysis of TOPEX/POSEIDON satellite altimetry," IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 280-292, Mar. 1995.
15. C. Ford and D. M. Etter, "Wavelet-based interpolation method for nonuniformly sampled data fields," in Proc. Int. Symp. Opt. Sci. Eng. Instrument., Denver, CO, Aug. 1996.
16. __, "Computational issues of interpolation via wavelet basis fitting," in Proc. Int. Workshop Sampling Theory Appl., Aveiro, Portugal, June 16-19, 1997.
17. P. Lancaster and K. Salkauskas, Curve and Surface Fitting: An Introduction. New York: Academic, 1986.
18. S. Mallat, "A theory for the multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell. vol. 11, July 1989.
19. F. Marvasti, "Nonuniform sampling," in Advanced Topics in Shannon Sampling and Interpolation Theory, R. Marks II, Ed. New York: Springer-Verlag, 1993.
20. C. E. Shannon, "Communications in the presence of noise," Proc. IRE, vol. 37, 1949.
21. M. Unser, "Approximation power of biorthogonal wavelet expansions," IEEE Trans. Signal Processing, vol. 44, pp. 519-527, Mar. 1996.