Efficient Discrete Fourier Representation of Pulse Responses

Abstract

The problem of modeling the transient response of a linear system to an incident pulse (finite time series) is examined. In mathematical modeling, this problem is solved through the convolution of a time domain pulse with a model-generated transfer function (spectral Green's function) of the linear system under consideration. This report is concerned with a particular class of linear systems, i.e., those that are separable into a superposition of multiple linear subsystems. Such problems arise often in high-frequency acoustics applications, where ray theory is applied and the linear acoustic system is represented as a superposition of many acoustic rays of energy.

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Document Details

Document Type
Technical Report
Publication Date
Jun 18, 1999
Accession Number
ADA366799

Entities

People

  • Thomas Wettergren

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Scattering
  • Acoustics
  • Bandwidth
  • Broadband
  • Computational Science
  • Convolution
  • Frequency
  • Frequency Bands
  • Frequency Domain
  • Linear Systems
  • Scattering
  • Signal Processing
  • Steady State
  • Time Domain
  • Transfer Functions
  • Undersea Warfare

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.