In this article, an active spectrum symbiotic interference (SSI) cancellation architecture is proposed for spectrum symbiotic wireless communication systems. On this basis, with the aim of minimizing the residual reception power, a joint SSI cancellation algorithm based on time-amplitude-phase three-dimensional search is proposed, which actively utilizes the characteristics of transmitted signal in the spectrum symbiotic wireless communication systems to adjust, reconstruct and cancel the SSI from the aspects of time, amplitude and phase. Theoretical and simulation analysis show that the proposed architecture and algorithm can suppress the SSI to the noise level, and have lower space complexity and time complexity.