REPRESENTATION AND ANALYSIS OF SIGNALS. PART XIII. DISCRETE ORTHONORMAL EXPONENTIALS,

Abstract

Digitizing orthonormal exponentials with complex exponents are discussed. The z-trans forms of continuous orthonormal exponentials are not themselves orthogonal in z-domain. This is due to the fundamental property sampling that a signal with a frequency spectrum higher than the sampling frequency is not exactly reproducible from its sampled data. For this reason, we introduce the Kautz process in the z-domain to define a set of discrete orthonormal expon entials. These discrete orthonormal exponentials approach the ordinary continuous orthonormal exponentials in the limit as the sampling interval T approaches zero. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 06, 1962
Accession Number
AD0411370

Entities

People

  • T.y. Young
  • W.h. Huggins

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Electronics
  • Frequency
  • Intervals
  • Sampling
  • Spectra

Fields of Study

  • Engineering

Readers

  • Approximation Theory.