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本文提出一种新的高频重建的数字方法。这方法是将问题用傅里叶变换变到频域里，然后用Tikhonov正则化方法求问题正则解，最后用傅里叶反变换变回来。它能充分利用卷积型积分方程的特点，能对信号附加各种限制和先验信息，能抑制干扰且计算复杂较低。本文给出算法，证明了收敛性，给出了计算机实验结果。
This paper presents a new digital method of high frequency reconstruction. In this method, the problem is transformed into the frequency domain by using the Fourier transform, then the Tikhonov regularization method is used to solve the problem regular solution, and finally the inverse solution is used to transform back. It takes full advantage of the characteristics of the convolution integral equation, the signal can be attached to a variety of restrictions and prior information, can suppress interference and computational complexity is low. In this paper, the algorithm is given, the convergence is proved, and the computer experiment results are given.