Delay networks having maximally flat frequency characteristics

Delay networks having maximally flat frequency characteristics
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具有最大平坦频率特性的延迟网络

DOI:
10.1049/pi-3.1949.0101
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发表时间:
1949
期刊:
Journal of the Institution of Electrical Engineers
影响因子:
--
通讯作者:
W. E. Thomson
W. E. Thomson
中科院分区:
--
文献类型:
--
作者:
W. E. Thomson

文献摘要

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传输线的集总常数等效通常可以以对称晶格的形式获得,其中串联臂和晶格臂分别与一半线路的短路阻抗和开路阻抗相反和近似。一组这样的近似值可以从与这些阻抗等价的无限梯形网络(考尔标准型)中推导出来。这些近似产生全通恒定阻抗网络(耗散被忽略),其中的延迟是最大的意义上说,第一个2 m?延迟相对于频率的1阶导数在原点为零; m是表示近似阶数的整数。
A lumped-constant equivalent of a transmission line can be obtained in general in the form of a symmetrical lattice, in which the series and lattice arms are inverse and approximate respectively to the short-circuit and open-circuit impedances of half the line. One such set of approximations can be derived from the infinite ladder networks (Cauer's canonical form) equivalent to these impedances. These approximations produce all-pass constant-impedance networks (dissipation being neglected) in which the delay is maximally flat in the sense that the first 2m ? 1 derivatives of the delay with respect to frequency are zero at the origin; m is an integer expressing the order of the approximation.