ON THE RECOGNITION OF SIGNAL PATTERNS IN NOISE

Abstract

IN THE APPLICATION OF STATISTICAL DECISION THEORY TO THE RECOGNITION OF TWO-DIMENSIONAL PATTERNS IN NOISE, THE DECISION AS TO WHICH OF A SET OF PATTERNS IS PRESENT INVOLVES THE CALCULATIONS OF A LIKELIHOOD FUNCTION FOR EACH OF THE POSSIBLE SIGNALS. In this paper, systems are developed for the calculation of these functions when the signal patterns are perturbed by multiplicative and additive noise. The resulting realizations ARE SHOWN TO REDUCE TO TWO-DIMENSIONAL MATCHED FILTERS. In the development, a useful orthogonal expansion of two-variable random processes is derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0260304

Entities

People

  • Jack K. Wolf
  • John B. Thomas

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Data Science
  • Decision Theory
  • Filters
  • Information Science
  • Matched Filters
  • Mathematics
  • Recognition
  • Statistical Decision Theory
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Speech Processing/Speech Recognition.
  • Statistical inference.