A scheme for interference rejection at an array is presented, in which the interference, represented as vectors, is removed by an operation in which none of the physical array characteristics such as beam width and resolution come into play. As a result, observation of signals of interest from weak sources, intact, unaffected by the presence of interfering signals from stronger sources arbitrarily close in angle to the weaker sources, is possible. The essential limit on this capability is determined solely by receiver noise. Rejection of up to M-1 interfering sources with an array of M elements is accomplished by a single operation. The method seems especially well suited for radio-astronomy applications.