A multiple scale state-space model for characterizing subgrid scale variability of near-surface soil moisture

IEEE Transactions on Geoscience and Remote Sensing

Volumn 37, Issue 1 PART 1, 1999, Pages 182-197

  Kumar, Praveen ^a  

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

Author keywords

Conditional simulation; Kaiman filter; Multiscale model; Optimal estimation; Remote sensing; Soil moisture

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; FRACTALS; KALMAN FILTERING; MOISTURE DETERMINATION; PARAMETER ESTIMATION; SPURIOUS SIGNAL NOISE; STATE SPACE METHODS; TREES (MATHEMATICS);

CONDITIONAL SIMULATIONS; MULTIPLE SCALE STATE-SPACE MODELS; MULTISCALE MODELS;

REMOTE SENSING;

EID: 0032757960     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/36.739153     Document Type: Article

References (32)

1. M. Basseville, A. Benveniste, and A. S. Willsky, "Multiscale autoregressive processes-Part l," IEEE Trans. Signal Processing, vol. 40, pp. 1915-1934, Nov. 1992.
2. "Multiscale autoregressive processes-Parts 1 and 2," IEEE Trans. Signal Processing, vol. 40, pp. 1935-1954, Nov. 1992.
3. A. Benveniste, R. Nikoukhah, and A. S. Willsky, "Multiscale system theory," IEEE Trans. Circuits Syst., vol. 41, pp. 2-15, Jan. 1994.
4. K. J. Beven and M. J. Kirkby, "A physically based variable contributing area model of basin hydrology," Hydrol. Sci. Bull., vol. 24, no. 1, pp. 43-69, 1979.
5. K. C. Chou, "A stochastic modeling approach to multiscale signal processing," Ph.D. dissertation, Mass. Inst. Technol., Cambridge, May, 1991.
6. K. C. Chou, A. S. Willsky, and A Benveniste, "Multiscale recursive estimation, data fusion, and regularization," IEEE Trans. Automat. Contr., vol. 39, pp. 464-478, Mar. 1994.
7. K. C. Chou, A. S. Willsky, and R. Nikoukhah, "Mutiscale systems, Kaiman filters, and Riccati equations," IEEE Trans. Automat. Contr., vol. 39, pp. 479-492, Mar. 1994.
8. C. V. Deutsch and A. G. Journel, GSLIB: Geostatistical Software Library and User's Guide. Oxford, U.K.: Oxford Univ. Press, 1992, p. 340.
9. P. W. Fieguth, "Application of multiscale estimation to large scale multi-dimensional imaging and remote sensing problems," Ph.D. dissertation, Mass. Inst. Technol., Cambridge, May, 1995.
10. C. R. Hicks, Fundamental Concepts in the Design of Experiments. New York: CBS, 1982, p. 425.
11. T. J. Jackson, D. M. Le Vine, C. T. Swift, T. J. Schmugge, and F. R. Schiebe, "Large area mapping of soil moisture using the ESTAR passive microwave radiometer in Washita'92," Remote Sens. Environ., vol. 53, pp. 27-37, 1995.
12. S. E. Hollinger and S. A. Isard, "A soil moisture climatology of Illinois," J. Climate, vol. 7, no. 5, pp. 822-833, 1994.
13. T. J. Jackson, "Surface soil moisture sampling," Hydrology Data Report, vol. 93, no. I, T. J. Jackson and F. R. Schiebe, Eds. Nat. Agricultural Water Quality Lab., Durant, OK, 1993.
14. A. G. Journel, "Geostatistics for conditional simulation of ore bodies," Econ. Geoi, vol. 69, pp. 673-687, 1974.
15. Fundamentals of Geostatistics in Five Lessons. Washington, DC: Amer. Geophys. Union, 1989, p. 40.
16. A. G. Journel and Ch. J. Huijbregts, Mining Geostatistics. Boston, MA: Academic, 1978, p. 600.
17. M. R. Luettgen, "Image processing with multiscale stochastic models," Ph.D. dissertation, Mass. Inst. Technol., Cambridge, May 1993.
18. M. R. Luettgen and A. S. Willsky, "Likelihood calculation for a class of multiscale stochastic models, with application to texture discrimination," IEEE Trans. Image Processing, vol. 4, pp. 194-207, Feb. 1995.
19. "Multiscale smoothing error models," IEEE Trans. Automat. Contr., vol. 40, pp. 173-175, Jan. 1995.
20. D. R. Maidment, Handbook of Hydrology. New York: McGraw-Hill, 1993.
21. B. Mandelbrot and V. Ness, "Fractional Brownian motions, fractional noises and applications," SIAM Rev., vol. 10, no. 4, pp. 422-437, 1968.
22. H. E. Rauch, F. Tung, and C. T. Striebel, "Maximum likelihood estimates of linear dynamic systems," AIAA ]., vol. 3, no. 8, pp. 1445-1450, 1965.
23. I. Rodriguez-Iturbe, G. K. Vogel, R. Rigon, D. Entekhabi, F. Castelli, and A. Rinaldo, "On the spatial organization of soil moisture fields," Geophys. Res. Lett., vol. 22, no. 20, pp. 2757-2760, 1995.
24. P. J. Rousseeuw, "Least median of squares regression," J. Amer. Stat. Assoc., vol. 79, pp. 871-878, 1984.
25. Soil Conservation Service (SCS), State Soil Geographic Data Base (STATSGO) Data Users Guide., U.S. Dept. Agriculture, Soil Conser-vation Service, 1993, Misc. Publ. 1492, p. 88.
26. E. R. Stofan, D. L. Evans, C. Schmullius, B. Holt, J. J. Flaut, J. van Zyl, S. D. Wall, and J. Way, "Overview of results of spaceborne imaging radar-C, X band synthetic aperture radar (SIR-C/X-SAR)," IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 817-828, July 1995.
27. A. F. B. Tompson, R. Abanou, and L. Gelhar, "Application and use of the three dimensional tuning bands random field generator: Single realization problems," Dept. Civil Eng., Mass. Inst. Technol., Cambridge, Rep. 313, 1987.
28. G. Verghese and T. Kailath, "A further note on backward Markovian models," IEEE Trans. Inform. Theory, vol. 25, pp. 121-124, Jan. 1979.
29. R. F. Voss, "Fractals in nature: From characterization to simulation," Science of Fractal Images, H.-O. Peitgen and D. Saupe, Eds. New York: Springer-Verlag, 1988.
30. G. W. Wornell and A Karhunen-Loeve, "Like expansion for I// processes," IEEE Trans. Inform. Theory, vol. 36, pp. 859-861, July 1990.
31. G. W. Wornell and A. V. Oppenheim, "Wavelet-based representations for a class of self-similar signals with application to fractal modulation," IEEE Trans. Inform. Theory, vol. 38, pp. 785-800, June 1992.
32. M. R. Luettgen, personal communication, 1996. [33] T. J. Jackson, personal communication.