With the development of FPGA, more and more signal processing uses FPGA circuit as the hardware platform of high‐speed, miniaturization and real‐time signal processing. The signal processing technology based on FPGA is the basis of high‐speed signal processing in the future. Fast Fourier transform technology is widely used in the fields of radar signal processing and OFDM communication waveform modulation. In the FPGA experiment, FFT is mainly realized by FPGA to complete the spectrum analysis of the signal. This paper introduces the design of a 1024‐point 16‐bit fixed‐point F‐mark processor module based on FPGA. The module has three characteristics: using the improved CORDIC algorithm, the complex multiplication operation of radix 4 butterfly arithmetic unit is realized; Through data preprocessing, the saturation of output data is avoided. Using the same address operation, the hardware consumption of the system is reduced. Based on CORDIC algorithm, the butterfly unit in 4DIT‐FFT algorithm is designed, and the operation of 16‐point FFT is realized. The design method of FFT parallel structure based on CORDIC algorithm is realized and verified by MATLAB. Then, the FFT module in OFDM modulator is designed by FPGA, and finally the simulation verification is completed in Mode‐Isim.