Digital Signal Interpolation Using Matrix Techniques and the Whittaker Cardinal Function.

Abstract

The infinite Whittaker summation and Shannon's sampling theorem both use the weighted sum of sinc functions (the 'Cardinal' function) in the interpolation algorithm. When the number of original samples is approximately equal to twice the product of duration (T) and bandwidth (W), and when it is desired to increase the number of samples by powers of 2, the interpolation process can be written as a matrix equation. It is shown that when the original sample set is periodic, the matrix elements converge to simple cosecant and cotangent functions. An extensive computer program which implements the algorithms is described. Numerous signals are processed and the results presented in plots and tabular form. The work is ended with an entire chapter suggesting areas for follow-on work.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA061030

Entities

People

  • Joseph C. Wheeler

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computer Science
  • Computers
  • Cross Correlation
  • Curve Fitting
  • Data Sets
  • Discrete Fourier Transforms
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Linear Algebra
  • New Mexico
  • Sine Waves
  • Vector Spaces
  • Waveforms
  • Waves

Readers

  • Approximation Theory.
  • Business Analytics