Applications of Digital Frequency Warping to Unequal Bandwidth and Vernier Spectrum Analysis,

Abstract

The application of a technique referred to as digital frequency warping to unequal bandwidth spectral analysis is discussed. This technique transforms a sequence in such a way that the Fourier transforms of the original and transformed sequences are related by a nonlinear transformation of the frequency axis. An equal resolution analysis carried out on the transformed sequence then corresponds to an unequal resolution of the original sequence. The authors present a framework for discussing the problem of spectral analysis and indicate how the Discrete Fourier Transform is commonly applied. They then discuss in a general sense how unequal bandwidth spectral analysis can be implemented by first implementing a nonlinear distortion of the frequency axis, followed by an equal bandwidth analysis.

Document Details

Document Type
Technical Report
Publication Date
Apr 06, 1973
Accession Number
ADA007613

Entities

People

  • A. V. Oppenheim
  • C. Braccini

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Bandwidth
  • Diffraction
  • Discrete Fourier Transforms
  • Distortion
  • Frequency
  • Frequency Bands
  • Sequences
  • Signal Processing
  • Spectra
  • Spectrum Analysis

Readers

  • Approximation Theory.
  • Computer Vision.