Effect of Record Length on the Correlation of Complex Exponentials

Abstract

With the advent of the Singularity Expansion Method (SEM) there has been a great interest on the identification of a linear time-invariant system by a sum of complex exponentials. In this paper the suitability of the exponential functions for modelling a finite time domain impulse response is examined. More specifically, we address the question of how long a data set does one need so that the record length behaves as if it were infinite. In other words, what is the minimum length of record required to resolve the various components of decaying exponentials. The answer to this question may yield data for a meaningful analysis.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA107738

Entities

People

  • Donald D. Weiner
  • Henry Mullaney
  • Joshua Nebat
  • Tapan K. Sarkar
  • Vijay K. Jain

Organizations

  • Rochester Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Continuous Spectra
  • Electrical Engineering
  • Engineering
  • Equations
  • Exponential Functions
  • Frequency
  • Frequency Domain
  • Identification
  • Intervals
  • Line Spectra
  • New York
  • Peak Values
  • Security
  • Spectra
  • Time Domain

Readers

  • Computational Modeling and Simulation
  • Statistical inference.
  • Systems Analysis and Design