傅里叶数字全息具有抗撕毁性等优点，如能应用于太赫兹 (THz)成像将具有重要意义。根据现有面阵探测器参数进行了 2.52 THz傅里叶数字全息仿真实验，通过对目标分别添加高斯噪声和椒盐噪声后再现，研究了目标噪声对其影响。实验结果证明，高斯噪声方差小于 0.20时，再现像虽然受到噪声影响但完全可以分辨，经过均值滤波和中值滤波后，图像轮廓变得清晰；当高斯噪声方差大于0.20时，再现像淹没在噪声中，滤波难以分辨出目标，且均值滤波比中值滤波效果好；当椒盐噪声密度为0.20时，目标的再现像被淹没，均值滤波和中值滤波均能使目标重新被观察到，且均值滤波效果相对较好。

With the capability of shearing resistance, Fourier digital holography will be of great significance once applied to terahertz imaging field. In this paper, the 2.52 THz Fourier digital holography is simulated based on the parameters of surface array detector. Then the reconstructed image can be obtained for a certain object using Fourier holography. By adding Gaussian noise and salt pepper noise to the object, the influences of noise on the object are studied with the mean and median filters. The experimental results reveal that, the reconstructed image can be distinguished though affected by noise, when the variance of Gaussian noise is below 0.20, and image contours become distinct after filtering; when the variance of Gaussian noise is above 0.20, the reconstructed image cannot be distinguished even filtered. When the density of salt and pepper noise reaches up to 0.20, the reconstructed image submerges, but it can be observed again by mean filtering or median filtering. Therein the mean filtering is superior to median filtering.