Nonlinear Filtering

Abstract

The purpose of this paper is to review recent progress in the actual construction of optimal nonlinear filters. Specifically, the author considers the construction of numerical algorithms, which accept as inputs noisy observations of a nonlinear function of signal process and produce as outputs estimates of the signal process. These algorithms, because of the structure of the nonlinear filtering problem, can be thought of conditional probability function generators. A historical review of the theory and applications of nonlinear filtering are given, which attempts to catalog the seminal ideas in the field as well as some unsolved problems which are obstructing progress.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1975
Accession Number
ADA013572

Entities

People

  • R. S. Bucy

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Brownian Motion
  • California
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Filters
  • Filtration
  • Integrals
  • Path Integrals
  • Probability
  • Random Variables
  • Scientific Research
  • Stochastic Processes
  • United States
  • Universities

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science.
  • Educational Psychology