HIGH ORDER PHASE OPTIMIZED TRANSMISSION VIA GENERAL LAGRANGIAN MULTIPLIER

摘要

A system and method of improving the modulation of GPS signal transmission is disclosed. Two alternative approaches are proposed: the Barrier Approximation and the Augmented Lagrangian Method. While both techniques can solve the problem with a substantially smaller error threshold, the Augmented Lagrangian Method further addresses potential ill-conditioning associated with nonconvex optimization. A formula for the lower bound on the constellation's amplitude is devised for any given arbitrary power profile. Lastly, additional results for multiplexing three, four, and five codes in GPS are presented. This invention also explores advantages and disadvantages for different solving strategies used. A discussion on how to generalize these techniques to non-POCET signal constellations is also included.