Vanishing of the wave amplitude accompanied by the appearance of phase dislocations in these points violates the signal continuity in phase measuring and adaptive optical systems and makes them inoperative. The well–known descriptions of wave process either admit of appearance of singular phase points and become ineffective or ignore these points and have limited area of application. All this is a manifestation of complication of the same physical reality. A solution to this problem is likely to be found by representation of the wave function in terms of the components with regular phase. In this paper, we consider the minimal–phase components of an analytic signal.