A study of Cramer-Rao bounds on object shape parameters from scattered field

Author

Naidu, Prabhakar S. ; Buvaneswari, A.

Author_Institution

Dept. of Electr. & Comput. Eng., Indian Inst. of Sci., Bangalore, India

Volume

47

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1478

Lastpage

1481

Abstract

We have studied the Cramer-Rao bounds (CRBs) on the size and orientation of a known object using the scattered (acoustic or electromagnetic) field. A circular array of transceivers surrounding the object under test is proposed. The CRBs are theoretically derived and compared with the mean square errors computed via Monte Carlo simulations. The CRBs are found to increase rapidly with wavelength. For reliable estimates, the wavelength of illumination must be smaller than the size of the object

Keywords

Monte Carlo methods; acoustic arrays; acoustic field; acoustic signal processing; acoustic tomography; acoustic wave scattering; array signal processing; digital simulation; electromagnetic fields; electromagnetic wave scattering; image reconstruction; mean square error methods; parameter estimation; transceivers; Cramer-Rao bounds; Monte Carlo simulations; acoustic field; circular array; diffraction tomography; electromagnetic field; illumination wavelength; imaging; mean square errors; object reconstruction; object shape parameters; object under test; scattered field; transceivers; Acoustic diffraction; Acoustic imaging; Acoustic scattering; Electromagnetic diffraction; Electromagnetic scattering; Optical scattering; Scattering parameters; Shape; Tomography; X-ray scattering;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.757247

Filename

757247