Understanding GDOP minimization in GNSS positioning: Infinite solutions, finite solutions and no solution

Gnss Solutions

J U L Y / A U G U S T 2 0 1 6 InsideGNSS 29 Simulation of GNSS signals is very important to test and validate algorithms. With some algorithms, such as acquisition or tracking, we do not need to simulate a realistic constellation with actual ranges, Doppler or navigation data. We can simply simulate the signal after reception at a receiver’s front-end and only take into account and fix to desir...

Sets with No Solutions

This short note gives an upper bound on the measure of sets A ⊂ [0, 1] such that x+ y = 3z has no solutions in A. To the memory of Yahya Ould Hamidoune.

On Grids and Solutions from Residual Minimization

Second-order Variational Analysis and Characterizations of Tilt-stable Optimal Solutions in Finite and Infinite Dimensions1

The paper is devoted to developing second-order tools of variational analysis and their applications to characterizing tilt-stable local minimizers of constrained optimization problems in finite-dimensional and infinite-dimensional spaces. The importance of tilt stability has been well recognized from both theoretical and numerical aspects of optimization. Based on second-order generalized diff...

Ubiquitous Positioning Solutions for Pedestrian Navigation

In a new research project called “Ubiquitous Cartography for Pedestrian Navigation (UCPNAVI)” at the Vienna University of Technolgy we want to explore the capabilities of providing location based information and navigation via a ubiquitous environment to enhance route guiding in smart environments. The hypothesis that ubiquitous cartography, defined as a “technological and social development, m...