Navigational systems and methods for simulating performance of one or more receivers of one or more vehiclesd

A system, comprising:

• a physical receiver of a vehicle, the physical receiver configured to obtain a position, navigation, and timing (PNT) of the physical receiver in a truth state defined by an absence of interference;
• one or more processors;
• and
• one or more non-transitory computer-readable mediums storing instructions that, when executed by the one or more processors, cause the one or more processors to perform operations comprising:
• applying a signal transmission model to the PNT so that a set of observables that the physical receiver observes in the truth state is simulated, the signal transmission model comprising a global positioning system (GPS) constellation model, the set of observables comprising pseudorange, range, time-delay-of-arrival (TDOA), navigation data, carrier phase, code phase, Doppler, and signal-to-noise ratio (SNR);
• simulating, by the one or more processors, addition of interference to the set of observables to generate a simulated set of corrupted observables, wherein simulating addition of interference to the set of observables comprises applying a signal disruption model to the set of observables, and wherein the signal disruption model applies one or more errors comprising simulated unintentional interference, jamming, and spoofing, to the set of observables;
• and
• simulating, by the one or more processors, a PNT solution of the physical receiver to validate a function of the physical receiver under a flight condition, wherein simulating the PNT solution comprises applying a receiver model to the simulated set of corrupted observables, the receiver model being configured to emulate how the physical receiver responds to the simulated set of corrupted observables,
• when after the PNT solution of the physical receiver is simulated:
• the physical receiver is configured to obtain one or more navigational radio frequency (RF) signals that are subject to physical interference, and compensate for the physical interference based on simulating the PNT solution of the physical receiver;
• and
• the one or more processors are configured to control, using the one or more navigational RF signals obtained by the physical receiver, movement of the vehicle.

A method, comprising:

• obtaining, using a physical receiver of a vehicle, a position, navigation, and timing (PNT) of the physical receiver in a truth state defined by an absence of interference;
• applying, by one or more processors, a signal transmission model to the PNT so that a set of observables that the physical receiver observes in the truth state is simulated, the signal transmission model comprising a global positioning system (GPS) constellation model, the set of observables comprising pseudorange, range, time-delay-of-arrival (TDOA), navigation data, carrier phase, code phase, Doppler, and signal-to-noise ratio (SNR);
• simulating, by the one or more processors, addition of interference to the set of observables to generate a simulated set of corrupted observables, wherein simulating addition of interference to the set of observables comprises applying a signal disruption model to the set of observables, and wherein the signal disruption model applies one or more errors comprising simulated unintentional interference, jamming, and spoofing, to the set of observables;
• simulating, by the one or more processors, a PNT solution of the physical receiver to validate a function of the physical receiver under a flight condition, wherein simulating the PNT solution comprises applying a receiver model to the simulated set of corrupted observables, the receiver model being configured to emulate how the physical receiver responds to the simulated set of corrupted observables;
• obtaining, by the physical receiver, one or more navigational radio frequency (RF) signals that are subject to physical interference;
• compensating, by the physical receiver, for the physical interference based on simulating the PNT solution of the physical receiver;
• and
• controlling, using the one or more navigational RF signals obtained by the physical receiver, movement of the vehicle.