Multidimensional Signal Restoration and Band-Limited Extrapolation. II.

Abstract

This technical report consists of three parts. The central problem is the extrapolation of band-limited signals. In part I, several existing algorithms for band-limited extrapolation are compared: Two-step procedures appeared to give better reconstructions and require less computing time than iterative algorithms. In part II, five basic procedures for iterative restoration are unified using a Hilbert Space approach. In particular, all known interative algorithms for extrapolation of band-limited signals are shown to be special cases of Bialy's iteration. The authors also obtained faster algorithms than that of Papoulis-Gerchberg. In part III, the extrapolation problem is presented in a more general setting: Continuation of certain analytic functions. Presented are two steps procedures for finding the continuation of these functions. Some new procedures for band-limited continuation are also discussed as well as the case in which the signal is contaminated with noise.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA125877

Entities

People

  • Jorge L. C. Sanz
  • Thomas Huang

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Applied Mathematics
  • Computational Science
  • Computations
  • Computer Simulations
  • Discrete Fourier Transforms
  • Eigenvectors
  • Engineering
  • Equations
  • Functional Analysis
  • Hilbert Space
  • Image Processing
  • Integral Equations
  • Integrals
  • Mathematics
  • Simulations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Radar Systems Engineering.

Technology Areas

  • Space