A Study of Filters Selectivity with Maximally Flat Responses with Respect to Hausdorff Distance

机译：关于HAUSDORFF距离的最大扁平响应的过滤器选择性研究

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This article examines the approximations of the ideal transfer function of a low pass filter with sigmoidal functions using Hausdorff distance. A relation between the filter selectivity and the Hausdorff distance is established. The approximation parameters are defined. Analytical dependencies of transfer functions and their respective Hausdorff distances are derived. An analysis of the results is made.

机译：本文研究了使用Hausdorff距离的低通滤波器的理想传递函数的近似值。建立过滤器选择性与Hausdorff距离之间的关系。定义近似参数。推导了传递函数的分析依赖性及其各自的Hausdorff距离。对结果进行分析。

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《National Conference with International Participation》|2018年|188p|共3页
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Peter Apostolov; Alexey Stefanov; Stoyan Apostolov;
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中图分类一般性问题;
关键词
Filtering theory; Transfer functions; Low pass filters; Chebyshev approximation; Measurement; Shape; Digital filters;

机译：过滤理论;转移功能;低通滤波器;Chebyshev近似;测量;形状;数字过滤器;

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1. Design of maximally flat IIR filters with flat group delay responses [J] . Xi Zhang Signal processing . 2008,第7期

机译：具有平坦群延迟响应的最大平坦IIR滤波器的设计
2. A Class of Two-Variable Analog Filters with Maximally Flat Response and Its Applications to Microwave Band-Pass Filter Design [J] . Hideaki FUJIMOTO, Yasumasa NOGUCHI IEICE Transactions on Electronics . 1999,第11期

机译：一类具有最大平坦响应的二变量模拟滤波器及其在微波带通滤波器设计中的应用
3. Binary phase filters with a maximally-flat response [J] . Colin J. R. Sheppard Optics Letters . 2011,第8期

机译：具有最大平坦响应的二进制相位滤波器
4. A Study of Filters Selectivity with Maximally Flat Responses with Respect to Hausdorff Distance [C] . Peter Apostolov, Alexey Stefanov, Stoyan Apostolov 2018 IX National Conference with International Participation . 2018

机译：关于Hausdorff距离具有最大平坦响应的滤波器选择性的研究
5. Maximally flat transmission line quarter-wavelength-coupled filters and quarter-wavelength transformer impedance matching networks. [D] . Drozd, James Michael. 1997

机译：最大平坦的传输线四分之一波长耦合滤波器和四分之一波长变压器阻抗匹配网络。
6. Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below [O] . Rostislav Matveev, Jacobus W. Portegies -1

机译：Ricci曲率界在下面的流形的本征平面和Gromov-Hausdorff收敛
7. Codesigned Wideband High-Efficiency Filtering SIW Slot Antenna with High Selectivity and Flat Gain Response [O] . Peng Kai Li, Chang Jiang You, Hong Fang Yu, 2018

机译：代号宽带高效滤波SIW槽天线，具有高选择性和平坦增益响应
8. On the Relationship between the Hausdorff Distance and Matric Distances of Ellipsoids [R] . Hoffman, A. J., Goffin, J. L. 1981

机译：关于椭圆体Hausdorff距离与基质距离的关系

A Study of Filters Selectivity with Maximally Flat Responses with Respect to Hausdorff Distance

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