全相位IDCT/DCT滤波器的快速实现结构

Structures of Fast Realizing the All Phase IDCT/DCT Filter

为了充分发挥DCT在数字滤波领域的应用,提出了全相位IDCT和DCT(APIDCT/APDCT)滤波器的3种快速实现结构,即直接列率域的递归实现结构、时域等价结构实现和列率域等价结构实现结构.在直接列率域的递归实现结构中给出了输入部分全相位数据空间相邻向量间的DCT和IDCT变换之间的递推关系;在APIDCT/AP-DCT的时域等价结构实现和APIDCT/APDCT的列率域等价结构实现中给出了过渡矩阵变换的表达式.3种快速实现结构都能实时地调节滤波器频率响应,具有实时自设计功能.直接列率域的递归实现结构适用于连续的数据流处理场合,而APIDCT/APDCT的列率域等价结构实现尤其适用于窄带滤波的场合.

To exploit the particular advantages of DCT in digital filtering, three kinds of structures of fast realizing APIDCT/APDCT filter were proposed, including direct sequency field recursive realization, time field equivalence realization and sequency field equivalence realization. The recursive formula of the DCT/IDCT of bordering input data was given in direct sequency field recursive realization, and transition matrix was also given in time field equivalence realization and sequency field equivalence realization. It is concluded that the frequency response of the filter can be tuned by three kinds of structures of fast realization in real time. Direct sequency field recursive realization is suitable for continuous data processing, and sequency field equivalence realization is especially suitable for narrow band filtering.