Abstract: The orbital states (position and/or time) for a constellation of space vehicles is determined as follows. The space vehicles measure PNT data, including range data determined based on FSO links between the space vehicles. The PNT data is transmitted from the space vehicles to two or more PNT controllers, which are a subset of the space vehicles that calculate the orbital state data for the constellation. This is a semi-distributed calculation. There is not a single controller that performs the calculations for all of the space vehicles in the constellation, and it is also not the case that each space vehicle performs its own calculations. Rather, each PNT controller services a sub-constellation of the space vehicles and determines the orbital state data for the space vehicles in the sub-constellation. The calculated orbital state data is transmitted from the PNT controllers to the space vehicles in the corresponding sub-constellations.

Abstract: Spatial and temporal characteristics of received radio signals in a multiple user radio system can be estimated based on signals received from the users. In one embodiment, the invention includes collecting measurements of radio frequency signals received at different elements of an antenna system over time, the received signals corresponding at least in part to transmissions received from a system user, collecting representations of the transmissions of the system user, and comparing the representations to the collected measurements to form a spatial characterization of the radio channel traversed by transmissions of the system user in which the elements of the spatial characterization represent forming a beam in the direction of the system user and directing nulls to interferers.

Abstract: Spatial and temporal characteristics of received radio signals in a multiple user radio system can be estimated based on signals received from the users. In one embodiment, the invention includes collecting measurements of radio frequency signals received at different elements of an antenna system over time, the received signals corresponding at least in part to transmissions received from a system user, collecting representations of the transmissions of the system user, cross-correlating the collected measurements and the collected representations, and comparing the cross-correlation to the collected measurements to form a characterization of the radio channel traversed by transmissions of the system user.

Abstract: Spatial and temporal characteristics of received radio signals in a multiple user radio system can be estimated based on signals received from the users. In one embodiment, the invention includes measuring radio frequency signals received at different elements of an antenna system over time, the received signals corresponding at least in part to transmissions received from a system user, accumulating the signal measurements into a first matrix, generating a second matrix representing the transmissions of the system user, cross-correlating the first and second matrices to form a third matrix, and multiplying the third matrix with a product of the second matrix to form a fourth matrix in which the elements of the fourth matrix characterize the radio channel traversed by transmissions of the system user.

Abstract: Spatial and temporal characteristics of received radio signals in a multiple user radio system can be estimated based on signals received from the users. In one embodiment, the invention includes measuring radio frequency signals received at different elements of an antenna system over time, the received signals corresponding at least in part to transmissions received from a system user, accumulating the signal measurements into a first matrix, generating a second matrix representing the transmissions of the system user, cross-correlating the first and second matrices to form a third matrix, and multiplying the third matrix with a product of the second matrix to form a fourth matrix in which the elements of the fourth matrix characterize the radio channel traversed by transmissions of the system user.

Abstract: Spatial and temporal characteristics of received radio signals in a multiple user radio system can be estimated based on signals received from the users. In one embodiment, the invention includes collecting measurements of radio frequency signals received at different elements of an antenna system over time, the received signals corresponding at least in part to transmissions received from a system user, collecting representations of the transmissions of the system user, cross-correlating the collected measurements and the collected representations, and comparing the cross-correlation to the collected measurements to form a characterization of the radio channel traversed by transmissions of the system user.