A techniqu e using an isom etriccircle interpretation of a bilinear transformation has been devel oped for minimizing the input VSWR of a tran smission lin e consisting of multiple discontinuities joined by line sections. It mak es possible the determination not only of the minimum attainable input VS WR but also of the required lin e lengths betwee n the successive di sco ntinuities. The case for N real and equal disco ntinuiti es is particularly si mple, and the necessary condition s for obtaining a perfect matc h are esta bli shed. Numerical exampl es are given .
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Rudolph et al. (1965) studied this question.