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群时延内均衡的模拟滤波器优化设计
李鹏,马红梅
0
(华北科技学院,北京 101601)
摘要:
为解决滤波器幅频特性算术对称性和通带内群时延波动之间的矛盾,提出了一种滤波 器群时延内均衡优化设计方法,即在网络综合法设计的滤波器电路基础上,将电路与时延均 衡器直接耦合,用最小二乘法使群时延特性逼近一个常数,然后利用无约束优化算法对整个 电路进行优化来降低通带内群时延波动。仿真结果表明,该方法不但能使滤波器幅频特性 算术对称且通带内的群时延特性波动较小,且阶数少、设计方法简单。
关键词:  模拟滤波器  幅频特性  算术对称  群时延均衡器  优化设计
DOI:
基金项目:河北省教育厅自然研究科学计划项目(2006439)
Optimization Design of Analog Filter′s Group delay Inner Equalization
LI Peng,MA Hong-mei
(North China Institute of Science and Technology, Beijing 101601,China)
Abstract:
This paper proposes an analog filter′s groupdelay inner equalization op timal design method in order to solve the contradiction between the filter′s am plit udefrequency characteristic arithmetic symmetry and the groupdelay ripple in passband. The groupdelay equalizer is coupled to the circuit designed by ne twork synthesis method, then the groupdelay is approached to a straight line u sing least square method, and the coupled circuit is optimized to reduce the gro updelay ripple by unconstrained optimization method. The simulation results in dicate that the proposed method can get arithmetic symmetrical amplitudefreque ncy and the smaller groupdelay ripple in passband. The designed circuit has merits of less order and easy to design.
Key words:  analog filter  amplitude-frequency characteristic  arithmetic symmetry  group del ay equalizer  optimization design