Explicit formulas for the synthesis of optimum broad-band impedance-matching networks

The paper shows that the most practical RLC load can be optimally matched to a resistive generator over a finite frequency band to achieve the Butterworth or Chebyshev transducer power-gain characteristic of arbitrary order, justifying and extending the procedure given in the literature. Explicit formulas for the optimum design of these matching networks are presented, thus avoiding the necessity of using the design curves and solving the nonlinear equations for selecting the optimum design parameters. The significance of these formulas is that they reduce the design problem to simple arithmetic. Illustrative examples are provided to demonstrate the usage of the formulas.