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For the problem of the weight values need a large amount of calculations in the adaptive beam-forming system, studied the inverse QR decomposition algorithm based on LCMV (IQRD-SMI algorithm) and the structure of traditional Systolic array GR-TSA, built with systolic array structures and simulated in Matlab. The principle of CORDIC technology is analyzed and how to use it on FPGA implement systolic array processing unit. On the basis of this, Based on the reuse of systolic arrays IQRD-SMI algorithm structure is given, Compared it with existing in the literature. Underlying design based on IQRD-SMI algorithm and hardware simulation based on systolic array be realized with xc7k325t in Xilinx FPGA, And the FPGA fixed-point simulation data and the computer floating-point simulation data contrast. The system and error is analysed.