Abstract
This paper presents explicit expressions for the maximum dc gain and the maximum allowable series inductance. The results are surprisingly simple, and can be used to decide whether or not a given RLC load can be matched to a resistive generator by a ladder network and yield a Butterworth or Chebyshev transducer power-gain characteristic of arbitrary order. Two examples are given to show the design procedure. The significance of these results is that they avoid the unnecessary use of Darlington type-C sections and circumvent the need to solve nonlinear equations or use design curves, thereby reducing the design to simple arithmetic.
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Zhu, YS., Chen, WK. On the design of Butterworth or Chebyshev broad-band impedance-matching ladder networks. Circuits Systems and Signal Process 9, 55–73 (1990). https://doi.org/10.1007/BF01187721
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DOI: https://doi.org/10.1007/BF01187721