Development of technologies for optimal design and realization of high-accuracy digital filter structures

给出了最小L_2灵敏度实现解析综合的一个充分条件，并阐明了满足该充分条件的一类数字滤波器。对于二阶模相等的数字滤波器，我们证明了最小L_2灵敏度实现与平衡实现是等价的，并且可以解析综合。此外，我们发现，二阶模式都是相等的二阶数字滤波器总是通过执行频率变换与一阶原型数字滤波器。

We derived a sufficient condition for the minimum L_2-sensitivity realizations to be synthesized analytically, and clarified a class of digital filters satisfying the sufficient condition. For digital filters of which second-order modes are all equal, we showed that the minimum L_2-sensitivity realization is equal to the balanced realization, which can be synthesized analytically. Furthermore, we revealed that second-order digital filters of which second-order modes are all equal are always obtained by performing frequency transformation with first-order prototype digital filters.