Several fully-integrated multi-stage lumped-element quadrature hybrids that enhance bandwidth, amplitude and phase accuracies, and robustness are presented, and a fully-integrated double-quadrature heterodyne receiver front-end that uses two-stage Lange/Lange couplers is described. The Lange/Lange cascade exploits the inherent wide bandwidth characteristic of the Lange hybrid and enables a robust design using a relatively low transformer coupling coefficient. The measured image-rejection ratio is > 55 dB over a 200 MHz bandwidth centered around 5.25 GHz without any tuning, trimming, or calibration; the front-end features 23.5 dB gain, -79 dBm sensitivity, 5.6 dB SSB NF,-7 dBm IIP3, -18 dB S11and a 1 mm times 2 mm die area in 0.18 mum CMOS.
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Ozis et al. (2009) studied this question.
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