Detection, Estimation and Control on Group Manifolds.
Interim repts. no. 2 and 3, 1 Jun 75-31 May 77,
MARYLAND UNIV BALTIMORE COUNTY BALTIMORE DEPT OF MATHEMATICS
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The drive to develop the full strength of the exponential Fourier densities EFDs was continued. The EFDs have been successfully applied to the projective 2-space which is the state space of an axial process. The results were generalized to n-dimensional system. More striking was the generalization to an arbitrary compact lie group. A great deal of time was spent to the estimation problem of continuous-time rotational processes. No significant conclusions were reached and the effort was given up at the end of the reporting period. In its place an investigation of the lack of closure property of EFDs was started. The convolution of an EFDn and an EFD1 was tested for EFDns on the circle. It was confirmed that for n1 and 2, the convolution of an EFDn and an EFD1 was uniformly very close to an EFDn.
- Statistics and Probability