Recursive Linear Smoothing for Dissipative Hyperbolic Systems.

Abstract

This paper presents an efficient method of smoothing steady-state, dissipative hyperbolic systems with one spatial dimension. The observations are from point sensors placed on the system. Using this characterization, one develops a smoothing algorithm that is recursive with respect to the sensors, resulting in a significant decrease in computational complexity relative to other methods. The algorithm's performance is illustrated by studying the smoothing problem for sound waves in an air filled pipe. Keywords: Hyperbolic systems; smoothing; recursive estimation; image processing; distributed parameter systems; acausal systems.

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Document Details

Document Type
Technical Report
Publication Date
Sep 25, 1986
Accession Number
ADA173020

Entities

People

  • Howard L. Weinert
  • Laurence R. Riddle

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustics
  • Algorithms
  • Computational Complexity
  • Differential Equations
  • Electrical Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Linear Systems
  • Observation
  • Partial Differential Equations
  • Sound Waves
  • Steady State
  • Two Dimensional
  • Wave Equations
  • Waves

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Wave Propagation and Nonlinear Chaotic Dynamics.