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利用欧几里德算法(Euclid’s algorithm)导出把双-T的三阶传输函数减少一阶的一般条件。现在采用的条件受到的约束比在双-T网络上必须的约束更少,因此通过较少的自由参数就能使电路最佳。采用这种新的方法,双-T网络传输函数的零点可能放置在s平面的左半部和右半部。在二阶RC-有源滤波器中具有附加自由参数的双-T网络的优点是明显的。例如,在中等选择性频率加重网络(MSFEN)中,实现给出的极点Q所需要的增益可能比用以前的方法所需的小达70倍,同时,极点的稳定度典型地改善了一倍.这样,具有一般二阶双-T的中等选择性频率加重网络比以前的方法有能力在更宽范围实现极点Q,同时减少了极点Q的灵敏度。
Euclid’s algorithm is used to derive the general condition for reducing the third-order transfer function of double-T by one order. The conditions now used are less constrained than necessary in dual-T networks, so the circuit can be optimized with fewer free parameters. With this new approach, the null of the dual-T network transfer function may be placed in the left and right half of the s-plane. The advantages of a dual-T network with additional free parameters in second-order RC-active filters are clear. For example, in MSFEN, the gain required to achieve the given pole Q may be as much as 70 times smaller than required by the previous method, while the stability of the pole is typically doubled Thus, a moderately selective frequency emphasis network with a general second order double-T has the ability to achieve pole Q over a wider range than the previous method, while reducing the sensitivity of pole Q.