Accession Number:

ADA023196

Title:

Exponential Fourier Densities and Optimal Estimation and Detection on the Circle.

Descriptive Note:

Mathematics research rept.,

Corporate Author:

MARYLAND UNIV BALTIMORE COUNTY BALTIMORE DIV OF MATHEMATICS AND PHYSICS

Personal Author(s):

Report Date:

1976-01-01

Pagination or Media Count:

25.0

Abstract:

A new representation called an exponential Fourier density, of a probability density on a circle, S1 is introduced. It is shown that a density on S1 can be approximated by such a representation as closely as we wish in the space of square-integrable functions on S1. The exponential Fourier densities have the desirable feature of being closed under the operation of taking conditonal distributions. Facilitated with it, finite-dimensional, recursive, and optimal estimation and detection schemes are derived for some simple models including a FSK communication system. Author

Subject Categories:

  • Statistics and Probability
  • Non-Radio Communications

Distribution Statement:

APPROVED FOR PUBLIC RELEASE