A scheme for eliminating the autocorrelation and broadening the bandwidth of chaotic laser from semiconductor lasers (SL) is proposed. In this scheme, a SL with single-channel phase modulation optical feedback is taken as the master laser, and a SL with double-channel filter optical feedback is taken as the slave laser. The laser from the master laser is injected into the slave laser. We numerically investigate the influences of parameters, such as the pumping factor, external light injection coefficient and frequency detuning between master and slave lasers, on the autocorrelation and bandwidth of chaotic laser from slave laser. The results show that the proposed scheme can effectively reduce the autocorrelation and broaden the bandwidth of chaotic laser form slave laser under the selected parameter conditions. The bandwidth maximum value of chaotic laser can reach 18.45 GHz.