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快速傅里叶变换(FFT)作为数字信号处理的核心技术,使离散傅里叶变换(DFT)的运算时间缩短了几个数量级,并在LTE系统中有着重要的应用。在LTE系统中,上行链路采用单载波频分多址技术(SC-FDMA),下行链路采用正交频分多址技术(OFDMA)。在这两种技术实现的过程中,都采用了离散傅里叶变换进行处理,而直接计算DFT的计算量太大。通过对LTE系统中Cooley-Tukey FFT算法进行了研究,同时利用Verilog HDL描述的方式实现了不定点FFT系统设计,并以FPGA芯片virtex5为硬件平台,进行了仿真、综合等工作,仿真结果表明其计算结果达到了一定的精度。
As the core technology of digital signal processing, Fast Fourier Transform (FFT) shortens the computation time of discrete Fourier transform (DFT) by several orders of magnitude and has an important application in LTE system. In the LTE system, single-carrier frequency division multiple access (SC-FDMA) is used in the uplink, and Orthogonal Frequency Division Multiple Access (OFDMA) is used in the downlink. In the process of implementing these two technologies, the discrete Fourier transform is used for processing, and the calculation of the direct calculation DFT is too large. Through the research of Cooley-Tukey FFT algorithm in LTE system and the design of the fixed-point FFT system using Verilog HDL description, the simulation and synthesis of FPGA chip virtex5 is carried out. The simulation results show that The calculation results have reached a certain accuracy.