New LAMBDA toolbox for mixed-integer models
estimation and evaluation
L. Massarweh (TU Delft - Mathematical Geodesy and Positioning)
S. Verhagen (TU Delft - Mathematical Geodesy and Positioning)
P.J.G. Teunissen (Curtin University, University of Melbourne, TU Delft - Mathematical Geodesy and Positioning)
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Abstract
In this work we introduce the LAMBDA 4.0 toolbox, which provides an enhanced implementation for integer estimation, validation, and success rate evaluation. This free and open-source toolbox is a major update to LAMBDA 3.0 (2012), while it also integrates the functionalities from Ps-LAMBDA 1.0 (2013), thus respectively merging both estimation and evaluation capabilities. The new implementation provides redefined algorithms, such as an improved integer search strategy with a one-order reduction in the computational time, along with additional estimators: Vectorial Integer Bootstrapping (VIB), Integer Aperture Bootstrapping (IAB) and Best Integer Equivariant (BIE). This toolbox aims to become a valuable resource for researchers and/or practitioners dealing with mixed-integer models in high dimensions, e.g., terrestrial-based carrier-phase systems, multi-constellation Global Navigation Satellite Systems (GNSS), or other interferometric applications.
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