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

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.