该文改进了文献［1］中给出的在DCT域做运动补偿的计算公式,代之以漂亮的分块矩阵形式,并找出了两分块矩阵之间存在的关系,使用新的公式及得到的关系可以将运算复杂度从每计算一个DCT系数需256次乘法及192次加法［1］减至少于56次乘法及93次加法.实验结果表明,使用这一公式重建的DCT系数和使用常规MPEG－2解码器恢复的空域图象再做DCT变换得到的系数是完全一致的.“,”In this paper, a set of modified formulae in matrix form for motion compensation in frequency domain is presented lusted of the formulae in referece[1]. By using these flew formulae, the computational complexity is greatly greatly reduced from 256 multiplictions and 192 addition per pixel to less than 56 multiplications and 93 additions per pixel. Simulation shows that the reconstructed DCT coefficients is the same as the DCT coefficients which is reconstructed by using the conventional MPEG-2 decoder.