A new subband division and reconstruction framework around the requirements of broadband communication interference cancellation was proposed, and the subband division filter banks and the reconstruction filter were designed, which simplified the conditions for complete reconstruction and made the reconstruction filter have the characteristics of complementary transition in band amplitude. The simulation and experiment results show that the reconstruction filter can effectively reduce the bit error rate of reconstructed communication signals and solve the spectrum fluctuation phenomenon in the process of subband signal splicing. Therefore, the subband division and reconstruction framework and the design of the reconstruction filter proposed can effectively reconstruct the frequency-hopping communication signal, which provide new technical route and theoretical method for subband division and reconstruction engineering practice of broadband interference cancellation.