Abstract: A base station includes an array of transceiver chains, each characterized by a bandwidth and including a transmit chain and a receive chain. The base station determines, at each center frequency and sub-bandwidth covering the bandwidth: a first set of interchain transmit gain and phase/delay differences across transmit chains; and a first set of interchain receive gain and phase/delay differences across the receive chains. The base station then determines, in a same manner as the first determining: a second set of inter-chain transmit differences; and a second set of inter-chain receive differences. The base station adjusts each transmit chain by the difference between the second set of inter-chain transmit differences and the first set of inter-chain transmit differences. The base station adjust each receive chain by the difference between the second set of inter-chain receive differences and the first set of inter-chain receive differences.

Abstract: A circuit is configured to receive and process a signal that includes in-phase and out-of-phase components that correspond to in-phase and out-of-phase components of a time sequence of symbols. A phase sensor in the circuit is configured to determine a phase value in accordance with an equalized version of the in-phase component of the signal and the in-phase component of the time sequence of symbols. The phase sensor is further configured to generate an approximation to the out-of-phase component of the signal in accordance with a Hilbert function of order k greater than 1. Terms in the approximation that correspond to future samples of the in-phase component of the signal are replaced with terms that correspond to past samples of an error that corresponds to a difference between samples of the in-phase component of the signal and an output from a detector.