Abstract: A method for box regularized particle filtering, used to predict a state of a system, is modified such that it can be implemented in a parallel manner. The modification concerns a step of redistributing state intervals and in particular a determination of a number of sub-intervals intended to replace each state interval. The method is particularly suitable for being implemented in a navigation system with measurement correlation, for example an aircraft navigation system using ground-correlation, and for being executed by a field-programmable or fixed-gate array circuit.

Abstract: A box regularized particle filtering method implements a binary representation of numbers. This implementation can be used to determine a box division coordinate and/or to modify state intervals according to a fixed probability kernel, for example according to an Epanechnikov kernel. The method can be executed autonomously within a navigation system using measurement correlation, in particular on board an aircraft such as an airplane, a flying drone or any self-propelled airborne vehicle.

Abstract: A box regularized particle filtering method implements a binary representation of numbers. This implementation can be used to determine a box division coordinate and/or to modify state intervals according to a fixed probability kernel, for example according to an Epanechnikov kernel. The method can be executed autonomously within a navigation system using measurement correlation, in particular on board an aircraft such as an airplane, a flying drone or any self-propelled airborne vehicle.

Abstract: Disclosed is a box-regularized particle filtering process which includes an Epanechnikov kernel smoothing step. For this purpose, the process uses a special method for generating random numbers that follow an Epanechnikov probability density function. The process can be performed autonomously in a navigation system using correlation measurement, in particular on board an aircraft such as an aircraft, a flying drone or any self-propelled aerial carrier.

Abstract: A method for box regularized particle filtering, used to predict a state of a system, is modified such that it can be implemented in a parallel manner. The modification concerns a step of redistributing state intervals and in particular a determination of a number of sub-intervals intended to replace each state interval. The method is particularly suitable for being implemented in a navigation system with measurement correlation, for example an aircraft navigation system using ground-correlation, and for being executed by a field-programmable or fixed-gate array circuit.