On the Maximum Likelihood Estimation of Position

Published on Sep 29, 2006
Pau Closas14
Estimated H-index: 14
Carlos Fernández Prades12
Estimated H-index: 12
+ 1 AuthorsA. Ramírez-González2
Estimated H-index: 2
  • References (0)
  • Citations (6)
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Apr 11, 2016 in PLANS (IEEE/ION Position, Location and Navigation Symposium)
#2Jonathan IsraelH-Index: 1
Last. G. Carrie (Alenia Aeronautica)H-Index: 7
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Many GNSS (Global Navigation Satellites System) applications need high integrity performances. Receiver Autonomous Integrity Monitoring (RAIM), or similar method, is commonly used. Initially developed for aeronautics, RAIM techniques may not be fully adapted for terrestrial navigation, especially in urban environments. Those techniques use basically the pseudoranges to derive an integrity criterion. In this paper, we introduce a new integrity criterion based on the correlation quality of each ch...
#1Yongqing Wang (BIT: Beijing Institute of Technology)H-Index: 3
#2Yu Luo (BIT: Beijing Institute of Technology)H-Index: 1
Last. Siliang Wu (BIT: Beijing Institute of Technology)H-Index: 11
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To break through the limitations of traditional discriminators used in vector tracking loops, this paper presents an iterative maximum likelihood estimation (IMLE) method for extracting navigation state errors from multi-satellite signals. The IMLE method takes into account both computational cost and estimation accuracy. The associated gradient vector and Hessian matrix of the MLE cost function are derived. The characteristics of the proposed joint discriminator are analyzed based on the proper...
#1Yu Luo (BIT: Beijing Institute of Technology)H-Index: 1
#2Yongqing Wang (BIT: Beijing Institute of Technology)H-Index: 3
Last. Pai Wang (BIT: Beijing Institute of Technology)H-Index: 2
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The vector tracking algorithm uses a single extended Kalman filter (EKF) to predict the time-delays and the Doppler deviations of the GNSS signal, while also estimating the user’s position, velocity, and clock state. In this paper, the effects of multipath on the tracking performance of the vector delay / frequency lock loop (VDFLL) is studied for better application in the multipath environment. The error expressions of the measurements are given in theory. The tracking error caused by multipath...
6 CitationsSource
#1Giacomo BacciH-Index: 14
#2Pau ClosasH-Index: 14
Last. L. VandendropeH-Index: 37
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Several factors impact in practice on the achievable accuracy of wireless positioning systems. However, theoretical bounds can be set to determine the best accuracy one may expect in certain conditions and to obtain useful benchmarks when assessing the performance of practical schemes. Chapter 4 is dedicated to the presentation of several such bounds, most derived from the Cramer-Rao bound (CRB) framework. Theoretical performance bounds related to the ranging estimation via time-of-arrival (TOA)...
#1Pau Closas (UPC: Polytechnic University of Catalonia)H-Index: 14
Last. Juan A. Fernandez-Rubio (UPC: Polytechnic University of Catalonia)H-Index: 11
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Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appe...
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#1Pau ClosasH-Index: 14
Last. Juan A. Fernandez-Rubio (UPC: Polytechnic University of Catalonia)H-Index: 11
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In this paper, the maximum likelihood estimator (MLE) of the position in satellite based navigation systems is studied. Recent results have shown that this novel approach provides an interesting way of introducing prior information in the position estimation and that the estimator is consistent for large sample sizes. However, one of the main drawbacks of this approach is the lack of a computationally efficient optimization algorithm due to the high dimensionality and nonlinearity of the resulti...
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