The Role of Biothogonal Partners in Sampling Theory for Non Bandlimited Signals: A Review

Abstract

It is well known that a broad class of non bandlimited signals can be reconstructed from uniformly spaced samples by relating the problem to the inversion of a digital filter. This simple idea has given rise to many applications, some of them quite sophisticated. This includes spline interpolation, fractionally spaced equalization (FSE) of noisy channels and more recently, rational FSEs. On the theoretical front, it has given rise to the idea of biorthogonal partners which unify many aspects of wavelet theory into the same framework. In this paper we give an overview of the main results in this area.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA417861

Entities

People

  • Bojan Vrcelj
  • Palghat Vaidyanathan

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Communication Channels
  • Construction
  • Digital Communications
  • Digital Signal Processing
  • Electrical Engineering
  • Engineering
  • Filters
  • Image Processing
  • Interpolation
  • Noise
  • Notation
  • Polynomials
  • Sampling
  • Sequences
  • Signal Processing
  • Time Signals
  • Transfer Functions

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.

Technology Areas

  • Space
  • Space - Space Objects