Echo interference problem widely exists in various communication channels, which seriously affects the quality of communication. In this paper four adaptive interference cancellation algorithms including LMS, Sign-LMS, NLMS and Frequency domain Block LMS are proposed. These four adaptive algorithms were studied by Matlab simulation. The constellation diagrams, convergence speed, and the FPGA chip resource utilization for these four algorithms were compared and analyzed.It is found that NLMS algorithm and frequency domain block LMS algorithm are more suitable for adaptive interference cancellation system for FPGA chip.