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通过理论推导和数字仿真,从本质上揭示了被采样信号频率发生波动时离散傅立叶变换(DFT)计算结果的误差根源,给出了相对误差表达式,对误差曲线进行了定性分析;本文结论对减小DFT误差的研究具有一定的指导意义。
Through theoretical derivation and digital simulation, it reveals the error origin of discrete Fourier transform (DFT) results when the frequency of sampled signal fluctuates. The relative error expression is given, and the error curve is analyzed qualitatively. The research on reducing the DFT error has certain guiding significance.