The experimental investigation of the problem of collinear acousto-optic tunable filters driven by variable acoustic pulses is carried out. It is shown that bandwidth and shape of transmission function can be altered in this case by varying the shape of a driving pulse. Experimental acousto-optic tunable filter transmission curves and their side wings are presented. It is shown that the utilization of pulses with a smooth temporal envelope results in a decrease of sidelobe level in the acousto-optic tunable filter transmission curves. It is found that the diffracted light can be generated continuously if the interpulse distance is equal to the crystal length. The transmission bandwidth in this case is determined by the length of each acoustic pulse. The impact of the phase difference between acoustic pulses on the diffraction efficiency and on the diffracted light form is investigated.