为克服常用滤波模板的缺陷,消除传统图像滤波中存在的振铃现象和方块效应,提出了任意正交变换下的2维加窗全相位滤波算法.在严格证明任意正交变换下的2维全相位模板的计算通式基础上,进一步推导出傅里叶变换下的加窗全相位模板的简化公式.通过对亚奈图像的恢复实验证明：相比于反傅氏变换法生成的模板,用全相位DFT（discrete Fourier transform）模板恢复出的图像PSNR（峰值信噪比）值要高出7dB以上,且消除了振铃现象.通过实验还证明,用全相位DCT（discrete cosine transform）模板滤波可完全消除传统分块滤波中的方块效应.

To overcome commonly-used filtering template's drawback and remove the ringing artifact& block effect in conventional image filtering,this paper presents 2D all-phase window filtering under arbitrary orthogonal transform.Based on the general calculating formula of 2D all-phase template under arbitrary orthogonal transform,the concise formula of all-phase template with window under DFT is deduced.The restoration experiment on the sub-sampled image proves that: compared with the template constructed by IDFT,the PSNR of the image restored by all kinds of all-phase template is above 7dB higher and ringing artifact can be eliminated.Another experiment shows that block effect in conventional block filtering can be completely removed by employing 2D all-phase DCT template.