Fisher information analysis for two-dimensional microwave tomography

Inverse Problems

Volumn 23, Issue 3, 2007, Pages 859-877

  Nordebo, Sven ^a   Gustafsson, Mats ^b   Nilsson, Börje ^a  

^a LINNAEUS UNIVERSITY   (Sweden)

^b LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

CRAMER-RAO BOUNDS; DIELECTRIC LOSSES; DIFFERENTIATION (CALCULUS); FISHER INFORMATION MATRIX; INVERSE PROBLEMS; PIXELS; TOMOGRAPHY;

CANONICAL TOMOGRAPHY; FISHER INFORMATION ANALYSIS; MICROWAVE TOMOGRAPHY; OPERATING FREQUENCY;

INFORMATION ANALYSIS;

EID: 34249681830     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/3/001     Document Type: Article

References (29)

1. Bertero M 1989 Linear inverse and ill-posed problems Adv. Electron. Electron Phys. 75 1-120
2. Bucci O M, Crocco L, Isernia T and Pascazio V 2001 Subsurface inverse scattering problems: quantifying qualifying and achieving the available information IEEE Trans. Geosci. Remote Sensing 39 2527-38
3. Cheney M and Isaacson D 1995 Issues in electrical impedance imaging IEEE Comput. Sci. Eng. 53-62
4. Collier S L 2005 Fisher information for a complex Gaussian random variable: beamforming applications for wave propagation in a random medium IEEE Trans. Signal Process. 53 4236-48
5. Colton D and Kress R 1992 Inverse Acoustic and Electromagnetic Scattering Theory (Berlin: Springer)
6. Devaney A J and Tsihirintzis G A 1991 Maximum likelihood estimation of object location in diffraction tomography IEEE Trans. Signal Process. 39 672-82
7. Dogandzic A and Nehorai A 2001 Cramér-Rao bounds for estimating range, velocity, and direction with an active array IEEE Trans. Signal Process. 49 1122-37
8. Fhager A and Persson M 2005 Comparison of two image reconstruction algorithms for microwave tomography Radio Sci. 40 RS3017
9. Gustafsson M 2000 Wave splitting in direct and inverse scattering problems PhD Thesis Lund Institute of Technology, Lund, Sweden (http://www.es.lth.se/home/mats)
10. Gustafsson M and Nordebo S 2006 Cramér-Rao lower bounds for inverse scattering problems of multilayer structures Inverse Problems 22 1359-80
11. Isakov V 1998 Inverse Problems for Partial Differential Equations (Berlin: Springer)
12. Kaipio J and Somersalo E 2005 Statistical and Computational Inverse Problems (New York: Springer)
13. Kay S M 1993 Fundamentals of Statistical Signal Processing, Estimation Theory (Englewood Cliffs, NJ: Prentice-Hall)
14. Kirsch A 1996 An Introduction to the Mathematical Theory of Inverse Problems (New York: Springer)
15. Krim H and Viberg M 1996 Two decades of array signal processing research: the parametric approach IEEE Signal Process. Mag. 13 67-94
16. Leone G and Soldovieri F 2003 Analysis of the distorted Born approximation for subsurface reconstruction: truncation and uncertainties effects IEEE Trans. Geosci. Remote Sensing 41 66-74
17. Marengo E A and Ziolkowski R W 2000 Nonradiating and minimum energy sources and their fields: generalized source inversion theory and applications IEEE Trans. Antennas Propagat. 48 1553-62
18. Miller K S 1974 Complex Stochastic Processes (Reading, MA: Addison-Wesley)
19. Naidu P S and Buvaneswari A 1999 A study of Cramér-Rao bounds on object shape parameters from scattered field IEEE Trans. Signal Process. 47 1478-81
20. Nilsson B 2006 3D electromagnetic modelling for determination of pitch in twisted cylinders AIP Conference Proceedings (Växjö University, Sweden) vol 834 pp 268-77
21. Nilsson B 2006 Determination of pitch in twisted cylinders by electromagnetic scattering Wave Motion 43 259-71
22. Nordebo S, Gustafsson M and Persson K 2007 Sensitivity analysis for antenna near-field imaging IEEE Trans. Signal Process. 55 94-101
23. Nordebo S and Gustafsson M 2006 Statistical signal analysis for the inverse source problem of electromagnetics IEEE Trans. Signal Process. 54 2357-61
24. Pierri R, Liseno A and Soldovieri F 2001 Shape reconstruction from PO multifrequency scattered fields via the singular value decomposition approach IEEE Trans. Antennas Propagat. 49 1333-43
25. Pierri R and Soldovieri F 1998 On the information content of the radiated fields in the near zone over bounded domains Inverse Problems 14 321-37
26. Smith S T 2005 Statistical resolution limits and the complexified Cramér-Rao bound IEEE Trans. Signal Process. 53 1597-609
27. Söderström T and Stoica P 2001 System Identification (Englewood Cliffs, NJ: Prentice-Hall)
28. Tarantola A 2005 Inverse Problem Theory and Methods for Model Parameter Estimation (Philadelphia, PA: SIAM)
29. Tsihirintzis G A and Devaney A J 1991 Maximum likelihood estimation of object location in diffraction tomography: Part II. Strongly scattering objects IEEE Trans. Signal Process. 39 1466-70