Exponential Fourier Densities and Optimal Estimation and Detection on the Circle.
Abstract
A new representation called an exponential Fourier density, of a probability density on a circle, S(1) is introduced. It is shown that a density on S(1) can be approximated by such a representation as closely as we wish in the space of square-integrable functions on S(1). 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1976
- Accession Number
- ADA023196
Entities
People
- James Ting-ho Lo
Organizations
- University of Maryland, Baltimore County