Time-Frequency Filtering and Carrier-Phase Ambiguity Resolution for GPS-Based TSPI Systems in Jamming Environment

Abstract

In the project period, we developed a class of time-frequency filters based on the combination of the empirical-mode decomposition (EMD) method and a general blind-source separation (BSS) algorithm. We obtained evidence that the method is able to separate jamming from the GPS signal for JSR up to 45dB. A forefront research area in signal processing is particle filters. The idea is to evolve the probability distribution of a signal by using a large number of particles according to the system equations and some stochastic processes, which is similar to Monte-Carlo simulation in physics and chemistry. Motivated by the fact that particle filters have been used widely in various types of signal-processing tasks, we applied this technique to GPS positioning of moving objects in a jamming environment. In particular, we considered a class of regularized particle filters, suitable for estimating the position of a moving object (e.g., a car) equipped with some proper GPS C/A code receiver. Theoretically, a question of interest is how the estimation error depends on uncertainties in the velocity measurement of the car and on the noise level in the UPS signal. Our analysis of the covariance matrix constructed from simulated particles led to a formula relating this matrix to the covariance matrices of the velocity and of the position error from least-squares processing of UPS pseudoranges. The formula was verified by numerical simulations.

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Document Details

Document Type
Technical Report
Publication Date
Aug 15, 2007
Accession Number
ADA476580

Entities

People

  • Ying-Cheng Lai

Organizations

  • Arizona State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Data Science
  • Filters
  • Filtration
  • Frequency
  • Information Science
  • Kalman Filters
  • Mathematical Filters
  • Monte Carlo Method
  • Probability
  • Random Variables
  • Sequential Monte Carlo Methods
  • Signal Processing
  • Statistical Algorithms
  • Statistical Analysis
  • Stochastic Processes
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Positioning, Navigation, and Timing (PNT) Technology.
  • Radio communications and signal processing.

Technology Areas

  • Space
  • Space - Space Objects