More on narrowband impedance-matching limitations
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In [3], the objective was the quantification of the bandwidth increase provided by one additional tuning circuit. Approximate relationships, valid for large values of the maximum reflection magnitude (introduced in [3] and refined in [I]), indicated that double tuning provided a very substantial benefit with respect to single tuning, and that the benefit over double tuning provided by triple tuning was questionable. The above-referenced equation provides a relatively simple means for evaluating the bandwidthincrease factor for all values of the maximum-reflection magnitude. Figure 1 presents the improvement factor over the complete range of maximum-reflection magnitude. ARer evaluation of the figure, the remarks made based on large values of the maximumreflection magnitude are still valid.
[1] A.R. Lopez,et al. Review of narrowband impedance-matching limitations , 2004, IEEE Antennas and Propagation Magazine.
[2] R. Fano. Theoretical limitations on the broadband matching of arbitrary impedances , 1950 .
[3] R. Fan. THEORETICAL LIMITATIONS ON THE BROADBAND MATCHING OF ARBITRARY IMPEDANCES * , 2003 .