Study of Multi-State PN Sequences and their Application to Communication Systems.

Abstract

Substantial progress was made during the current reporting period which was devoted to the following areas: Further correlation properties of four-state sequences, implementation of four-state sequences in systems using correlation detectors, and spectral properties of four-state sequences. The cross-correlation function of any two maximal four-state sequences was determined in terms of the cross-correlation function of the binary sequences used to represent them. Two general formulas were obtained, each of which applies depending on whether the four-state sequences being correlated are of the same or opposite category. It was shown that the cross-correlation function of two maximal four-state sequences of opposite category is real valued. The mean square value of the cross-correlation function of any two maximal four-state sequences has been determined.

Document Details

Document Type
Technical Report
Publication Date
Feb 18, 1976
Accession Number
ADA026220

Entities

People

  • Robert Gold

Tags

DTIC Thesaurus Topics

  • Communication Systems
  • Correlation Techniques
  • Cross Correlation
  • Data Science
  • Detectors
  • Information Science
  • Mathematics
  • Sequences
  • Warning Systems

Readers

  • Approximation Theory.
  • Radio communications and signal processing.
  • Regression Analysis.