Accession Number:

AD0658862

Title:

OPTIMUM LINEAR INTERPOLATION OF SAMPLED FUNCTIONS,

Descriptive Note:

Corporate Author:

NORTHEASTERN UNIV BOSTON MASS COMMUNICATION THEORY GROUP

Personal Author(s):

Report Date:

1967-04-01

Pagination or Media Count:

73.0

Abstract:

A study of linear interpolation of sampled random processes is presented in this report. A mathematical model of a sampler and of an interpolator are first developed. These models are used to derive general expressions for the mean-square interpolation error. The specific examples of zero- and first-order interpolation are used to illustrate the expressions. The problem of optimum interpolation is then formulated using the criterion that the mean-square error be a minimum. Explicit expressions for the optimum causal linear filter for interpolation using corrupted samples and expressions for the resulting minimum mean-square error are obtained. These results are illustrated by some specific examples of practical importance. A simple upper bound of the mean-square error is derived and a generalization of the sampling theorem for random functions is obtained by use of this bound. Although the important case of periodic sampling is emphasized in this report, the extension to a periodic sampling is given. Author

Subject Categories:

  • Operations Research
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE