Accession Number:

ADA232632

Title:

Background Simulation and Filter Design Using Iterated Function Systems

Descriptive Note:

Memorandum rept.

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

Report Date:

1991-02-19

Pagination or Media Count:

51.0

Abstract:

Design of filters which detect known signals in unknown backgrounds are considered from a deterministic viewpoint. Backgrounds which appear in Nature rather than being smooth, may appear fractal within a given waveband of interest. In this paper, derivations are given for the design of filters for both smooth backgrounds, and fractal backgrounds. The main theoretical tool for the fractal design is the Iterated Function System IFS. It is shown how the IFS models generalize the smooth models of the background and the corresponding filters. Derivations of the false alarm rate in terms of the filters are given. Numerical examples demonstrating background simulation as well as convolution of the filters with signals embedded in noise having fractal dimension are presented.

Subject Categories:

  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE