An apparatus and corresponding method for receiving a MIMO cellular communication signal, the apparatus including: a Kalman filter type of equalizer, responsive to a received signal, for providing a corresponding processed signal indicating information conveyed by the received signal, responsive to a set of values indicating predicted state error correlation at a first instant of time given all noise estimates up through the first instant, for providing ta set of values indicating a product of measurement values and predicted state error correlation at a later instant of time given all process noise estimates up through the later instant. The filter is implemented so as to make use of the displacement structure of the state transition matrix of the Kalman filter allowing shifting operations in place of vector and matrix multiplications. The filter typically includes a transition and common data path that provides to both a Kalman gain processor and a Riccati processor the set of values indicating a product of measurement values and predicted state error correlation at a later instant of time given all process noise estimates up through the later instant.