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On this paper, a couple of questions:

1. On page 2 just under Fig. 2:

Is there a knowable relationship between the number of sections in the transformer (or other parameters) and the achievable impedance ratio ?

2. On page 3

[...]

Fig.4 on the right shows a rather scattered Re an Im on the Smith chart. It seems to me that only |Z| is taken into account when designing the proposed transformer. Does the phase angle of Z have any effect on the transformer ?

3. Besides  less bandwidth, what other drawbacks are there when employing a 1-section transformer instead of a 2-section transformer ?

Thank you