Design of multi-stage nested wiener filter employing Krylov subspace for anti-interference

Space and time anti-interference for global navigation satellites system (GNSS) receivers requires good real-time processing ability. This limits the application of conventional matrix inversion algorithms due to their large amount of computation. Based on the analysis of the principle of multi-stage wiener filtering and combined with Krylov subspace nature, a multi-stage Wiener filter was designed for GNSS receivers. In this way, a reduction of filtering dimensions in Krylov subspace was achieved and the intensive computation for matrix inversion was avoided. Simulation results show that the proposed method can effectively reduce the amount of STAP algorithm computation with no anti-interference performance being affected and is more appropriate for real-time applications.