Abstract: Systems and methods for operating a communications system. The methods involve computing one or more complex weights to be applied to transmit signals and receive signals by beamformers. The complex weights are based at least on configuration data for the communications system. The methods also involve applying a first plurality of weight corrections to the complex weights based on phasing errors occurring in a communication path inclusive of a control system and antenna elements. The methods further involve applying a second plurality of weight corrections to the complex weights based on phase differences at the antenna elements relative to a reference location for the receive signals.

Abstract: Systems comprising sensing devices (SD), a signal combiner (SC), signal subtractors (SS), and signal multipliers (SM). SD (116, 402, 504, 604, 620, 708a, 708b, 708c) senses at a first location along a transmission media (TM) a first signal (Vf) propagated over TM (100, 502, 602, 702, 1025) in a forward direction and a second signal (Vr) propagated over TM in a reverse direction opposed from the forward direction. SC (406, 508, 606, 806) computes a Sum signal (S) by adding Vf and Vr together. A first SS (408, 508, 606, 806) computes a Difference signal (D) by subtracting Vr from Vf. A first SM (410, 510, 608a, 808a) computes a first Exponentiation signal (ES) using S. A second SM (412, 512, 608b, 808b) computes a second Exponentiation signal (ED) using D. A second SS (414, 514, 614, 816) subtracts ES from ED to obtain a reference signal (Vref).

Abstract: Methods for compensating for phase shifts of a communication signal. The methods involve determining a first reference signal (Vref-1) at a first location along a transmission path and a second reference signal (Vref-2) at a second location along the transmission path. Vref-2 is the same as Vref-1. At the first location, a first phase offset is determined using Vref-1 and a first communication signal. At the second location, a second phase offset is determined using Vref-2 and a second communication signal. A phase of a third communication signal is adjusted at the second location using the first and second phase offsets to obtain a modified communication signal. The first, second, and third communication signals are the same communication signal obtained at different locations along the transmission path.

Abstract: Systems and methods for operating a communications system. The methods involve computing one or more complex weights to be applied to transmit signals and receive signals by beamformers. The complex weights are based at least on configuration data for the communications system. The methods also involve applying a first plurality of weight corrections to the complex weights based on phasing errors occurring in a communication path inclusive of a control system and antenna elements. The methods further involve applying a second plurality of weight corrections to the complex weights based on phase differences at the antenna elements relative to a reference location for the receive signals.