Design of 2-D interpolation/decimation filters using a general 2-D digital allpass filter

详细信息	查看全文 | 推荐本文 |

• 作者：Ju-Hong Lee^a ; ^b ; ^{juhong@cc.ee.ntu.edu.tw}  ; [Author Vitae] ; Yuan-Hau Yang^c  ; [Author Vitae]
• 关键词：Doubly complementary ; Allpass filter ; Diamond-shaped filter ; Symmetric half-plane filter ; Sampling rate conversion
• 刊名：Digital Signal Processing
• 出版年：2012
• 期刊代码：128_10512004
• 类别：cp
• 出版时间：September, 2012
• 卷：22
• 期：5
• 页码：847-858
• 文件大小：1767 K

摘要

Two-dimensional (2-D) interpolation/decimation digital filters are widely used for sampling rate conversion. A general structure consisting of a 2-D recursive digital allpass filter (DAF) and a 2-D pure delay block is presented for designing 2-D recursive interpolation/decimation filters. We utilize a 2-D DAF with symmetric half-plane (SHP) support for its filter coefficients to comply with the symmetry possessed by 2-D interpolation/decimation filters. The structure also possesses a preferable doubly complementary half-band (DC-HB) property that reduces the number of required independent coefficients for designing 2-D interpolation/decimation filters. We appropriately formulate the design problem to obtain a simple linear optimization problem that minimizes the phase error of the 2-D recursive SHP DAF in the pth norm () sense. Simulation results are provided for illustration and comparison.