I. Introduction
The -element phased-array transceivers’ transmitting equivalent isotropic radiated power (EIRP) increases proportionally to , and the receiving signal-to-noise ratio (SNR) improves linearly with . Because of advances in process technologies and reductions in process variations at a specific performance, the number () of array elements integrated on a single die or a single wafer has increased over the decade. Particularly at millimeter-wave frequencies, 32- to 256-element integrated circuits (ICs) [1]–[3] have been reported. Integrating a large number of phased-array elements reduces system-level complexity and variation by integrating all inter-element radio-frequency (RF) and local oscillator (LO) routings on the chip, leaving only the antenna ports and array I/Os that will be routed off-the-chip to the antennas and back-end transceiver, respectively. This facilitates system engineers to easily apply the chips for multiple-input multiple-output (MIMO) communication [4], [5] and reduces the overall cost per array element [6]–[9].