A branch-line coupler with eight stubs is proposed for size reduction. A two-section stub consisting of high- and low-impedance transmission lines to make interconnection of low-impedance transmission lines easy is presented. According to the transmission-line theory, almost the same frequency characteristics as those of a normal branch-line coupler can be obtained, although there are slight differences in the high-frequency region over the centre frequency. The experimental circuit was reduced to 25% in area, and the frequency characteristics showed good agreement with the theoretical results except for the shift in centre frequency.
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Sakagami et al. (1999) studied this question.
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