The amplitude and phase perturbations (APP) of antenna array sensors are the basic sources of the errors arising while estimating the narrow-band signals direction arrival (DOA). The analysis of the APP influence on the quality of estimation is performed by statistical simulation technique as a rule. The given method has broad capabilities, however, when simulating the array with a large number of sensors the using of this one requires essential computing costs. In this connection there is a necessity in obtaining analytical representations connecting the DOA estimation errors with the APP parameters of array sensors. The aim of the given paper is the getting of canonical representations for mean value and variance of DOA estimation errors as well as the matching of obtained relations with statistical simulation results.