IMPULSE RESPONSE IDENTIFICATION FROM TRUNCATED INPUT DATA USING FFT TECHNIQUES,

Abstract

A method is presented for the noise-free identification of the kernel function of a finite memory linear system from normal operating input-output data. The problem is formulated taking into account the error in the output data which results from the truncation of the input to a finite time interval. Iteration in the frequency domain is used to overcome the truncation error, and a simple bound involving the input data is derived which is useful in predicting convergence. The Fast Fourier Transform algorithm is employed at each stage in the iteration which results in a computationally efficient identification procedure. Computer simulation studies of the algorithm are summarized which substantiate the theory and provide additional information of a practical nature. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0710650

Entities

People

  • Allan E. Pearson
  • H. F. Silverman

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Simulations
  • Fast Fourier Transforms
  • Frequency
  • Frequency Domain
  • Identification
  • Iterations
  • Kernel Functions
  • Linear Systems
  • Simulations
  • Time Intervals
  • Truncation

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation