Title :
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
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
