Abstract:     In the research field of adaptive nulling antenna for satellite navigation, it can be divided into super high degree of freedom algorithm, direction and robust adaptive calculation direction. The representative of the super high degree of freedom algorithm is space frequency adaptive processing (SFAP). SFAP greatly increases the freedom of adaptive computing, and can improve the system of interference suppression when the channel is mismatched. The representative of robust adaptive computation is the QR-RLS algorithm, because the QR-RLS algorithm belongs to the data domain algorithm, so it has a good adaptability to the deterioration of the condition of the autocorrelation matrix. Combining the advantages of the two algorithms, a SYSTOLIC-SFAP algorithm is given. In the SFAP framework, the SYSTOLIC array is used to complete the QR-RLS adaptive computation, which is insensitive to channel mismatch and has good convergence performance.