The suppression of surface wave, random noise and coherent noise in actual data will impact the quality of angle gather data more or less. Aiming at the problem, a theoretical model was built. The results indicates that 1) the anti-noise ability of angle domain stacking is much better than that of CMP stacking, moreover, for angle domain stacking, the minimum signal to noise ratio can be up to 0.5; 2) the effect of coherent noise on angle gather is smaller than that on CMP gather and coherent noise only affects local traces, and the influence will be larger if the apparent velocity of coherent noise is large; and 3) surface wave has strong energy and low frequency and a small amount of residue will affect the angle gather obviously.