有零级增益灵敏度乘积的有源阻容滤波器

• 出 处: 国外红外与激光技术
• 发表日期: 1975年01期
• 关键词: 零级 有源 滤波器 阻容 根轨迹 实轴 乘积 有源滤波器 谐振频率 极点

对任何二阶有源阻容滤波器来说,相应于有源参数的根轨迹是园形的,其园心在实轴上的某一点上。从几何图形可容易看出,在任一Q 和谐振频率ω_0下,其中心在实轴上的-2Qω_0 处,并且半径为ω_0(4Q~2-1)~(1/2)的园形根轨迹显示出零级的有源 Q 灵敏度和零级增益灵敏度乘积。其次,对于任何适宜的 Q 和ω_0,用任一种方法,都可组成有零级 Q 灵敏度和零级增益灵敏度乘积(GSP)的滤波器。实际电路与理论予料极为一致.

For any second-order active RC filter, the root locus corresponding to the active parameter is circular with its center at a point on the real axis. It is easy to see from the geometrical figures that at any Q and resonant frequency ω_0, a circular root locus whose center is at -2Qω_0 on the real axis and whose radius is ω_0 (4Q ~ 2-1) ~ (1/2) Shows zero-level active Q sensitivity and zero-gain sensitivity product. Second, for any suitable Q and ω_0, a filter with zero-order Q sensitivity and zero-order gain sensitivity product (GSP) can be made by either method. The actual circuit and theory to the material is very consistent.