I. Introduction
Circulators are critical for miniaturization in allowing the transmitter (TX) and the receiver (RX) to share the same antenna (ANT), as the ANTs occupy the most size of the systems, such as full-duplex (FD) wireless systems and frequency-modulated continuous-wave (FMCW) radars [1], [2], [3]. When used in a transceiver, the circulator is cascaded before the low-noise amplifier (LNA), making its noise figure (NF) directly add up to the total NF of the RX. In addition, the high isolation at the ANT interface is necessary to prevent the LNA from compression due to the self-interference signal from TX [4]. Therefore, there is a strict requirement on the noise and isolation performance of the circulator. Conventional circulators rely on ferrite materials to break the reciprocity [5], [6], which have higher requirements during manufacturing and are incompatible with integrated circuits. These disadvantages have pushed the development of magnetless circulators and quasi-circulators (QCs).