Digital communication system has been widely used in military, broadcasting, mobile communication and other fields because of its strong anti-interference ability, high transmission quality and easy encryption (Jiang et al. in Bistatic SAR spatial-variant motion error compensation method via joint-refocusing of multi-subimages, pp. 190–195, May 12, 2023) [1]. This paper uses Simulink platform to simulate and analyze the digital communication system using BPSK modulation in AWGN and BSC channels, focusing on the performance of Hamming code, BCH code and convolutional code. In AWGN channel, by adjusting the signal-to-noise ratio (SNR), the bit error rate (BER) performance of different coding schemes is compared. The simulation results show that the convolutional code has the best performance under high SNR. In BSC channels, considering channel symmetry and error probability, Hamming codes and BCH codes perform well at low error probability, while convolutional codes maintain low BER even at high error probability.