在干涉图频域内，根据Nuttall窗能够有效抑制频谱泄露的性质，研究Nuttall窗对重构光谱的影响。根据Forman卷积法获得对称化的干涉图，采用四项三阶Nuttall窗对此干涉图加权，能够有效减小频谱泄露；截取加权后的单边干涉图，构建共轭对称复数序列，并根据共轭对称复数序列离散傅里叶变换的性质，对共轭对称复数序列进行快速傅里叶变换，可以获得虚部为0的光谱信息。研究结果表明，在共轭傅里叶变换光谱重构中，引入Nuttall窗能够有效减小频谱泄露对光谱分辨率的影响，使光谱失真得到有效抑制。与未引入Nuttall窗相比，该方法获得的复原光谱与原始光谱更加吻合。

The influence of spectral reconstruction caused by Nuttall window is researched based on the character of Nuttall window in the frequency domain of interferogram. The symmetrical interferogram is obtained based on Forman method, and then the symmetrical interferogram weighted by Nuttall window is used to decrease the spectrum leakage. Intercept the single interferogram, and reconstruct the sequence of conjugated symmetrical complex numbers. Ultimately, the spectrum is acquired according to the discrete Fourier transform character of conjugated symmetrical complex number. The research results show that the Nuttall window can effectively reduce the impact of spectral resolution caused by spectrum leakage, and suppress the spectral distortion in the Fourier transform spectral reconstruction. Compared with the method which is not introduced the Nuttall window, the new recovered spectrum obtained by the spectral reconstruction with Nuttall window is more anastomotic with actual spectrum.