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子带编码（SubbandCoding，SBC）近年来已成为一种很有潜力的图象编码方法。传统的子带分析／综合都是以富氏频谱为基础，以一对具有混叠抵消特性的线性相位滤波器实现的。本文从子带分割的基本思想出发，从广义频率－列率入手，在沃尔什变换域上构造出一种子带分析／综合器。文中证明了该算法的理想恢复特性，并最终推导出一组时域算子掩膜。理论分析及实验结果表明，该算法无论是性能还是算法复杂度、运算速度及内存开销上都明显优于经典的子带分割方法。
Subband Coding (SBC) has become a promising image coding method in recent years. Traditional sub-band analysis / synthesis is based on Fourier’s spectrum, with a pair of aliasing cancellation linear phase filter to achieve. In this paper, starting from the basic idea of subband segmentation, starting with the generalized frequency - column rate, a subband analyzer / synthesizer is constructed on the Walsh transform domain. The paper proves the ideal recovery characteristic of the algorithm and finally deduces a set of time-domain operator mask. Theoretical analysis and experimental results show that the proposed algorithm outperforms the classical subband segmentation method both in performance and algorithm complexity, in computation speed and memory overhead.