Modeling Distributions of Non-Coherent Integration Sidelobes

Abstract

This paper considers the distribution of the cross-correlation sidelobes from intra-system GNSS interference after non-coherent integration. Because of the inherent periodic structure of the GNSS signals, the successive coherent integrations, while Gaussian distributed, are not independent. We model this dependence in the two separate cases of C/A and L5 signals. We then use the theory of Gaussian quadratic forms to specify the non-coherent integration distribution. Doppler and data bit combinations are shown to have an impact on the form of the distribution. Finally, we consider the special case of a single high-powered interferer. In this case, we use combinatorial reasoning to derive a distribution that is a mixture of all possible distributions for different values of the data bits.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
AD1132219

Entities

People

  • David W. Winters
  • Joseph J. Rushanan

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Acquisition
  • Additives (Chemicals)
  • Binomials
  • Coefficients
  • Combinatorial Analysis
  • Corporations
  • Correlation Analysis
  • Correlators
  • Data Science
  • Department Of Defense
  • Electrical Engineering
  • Equations
  • Information Processing
  • Information Science
  • Information Theory
  • Mathematics
  • Noise
  • Observation
  • Probability
  • Probability Distributions
  • Random Variables
  • Real Variables
  • Signal Processing
  • Simulations
  • Simulators
  • Statistical Distributions
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Mathematical Modeling and Probability Theory.
  • Optical Physics and Photonics.
  • Phased Array Antenna Design.