The Inverse Gaussian Pulse in the Experimental Determination of Linear System Green's Functions,

Abstract

This article presents a new time domain deconvolution method for determining the impulse response of linear time invariant systems. The method is based on the use of the one-sided, causal, inverse Gaussian pulse as an approximation to the Dirac delta-function. Deconvolution of that kernel is equivalent to an inverse heat conduction problem. The method is particularly useful in cases where the Green's function for the linear system has singularities such as jumps, cusps, spikes, and the like. Computational reconstructions of singularities, from smooth synthetic data, are presented in the context of Acoustic Emission Green's functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004930

Entities

People

  • A. S. Carasso
  • N. N. Hsu

Organizations

  • National Institute of Standards and Technology

Tags

DTIC Thesaurus Topics

  • Acoustic Emissions
  • Applied Mathematics
  • Complex Variables
  • Delta Functions
  • Emission
  • Functions (Mathematics)
  • Linear Systems
  • Mathematics
  • Time Domain

Readers

  • Calculus or Mathematical Analysis
  • Seismology