Detection, Estimation and Control on Group Manifolds.

Abstract

The drive to develop the full strength of the exponential Fourier densities (EFD's) was continued. The EFD's 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 EFD's was started. The convolution of an EFD(n) and an EFD(1) was tested for EFD(n)'s on the circle. It was confirmed that for n=1 and 2, the convolution of an EFD(n) and an EFD(1) was uniformly very close to an EFD(n).

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA050578

Entities

People

  • James T. Lo

Organizations

  • University of Maryland, Baltimore County

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • Applied Mathematics
  • Computational Science
  • Convolution
  • Detection
  • Differential Equations
  • Distribution Functions
  • Equations
  • Filtration
  • Fluid Dynamics
  • Lie Groups
  • Mathematics
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables

Readers

  • Graph Algorithms and Convex Optimization.
  • Plasma Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space