“…The phase shift achieved due to the gain and phase errors in the weighted I/Q signals is given by (7) As compared to the ideal phase shift in (2), the phase error of the phase shifter due to the gain and phase errors in the weighted I/Q signals can be written as (8) The RMS phase errors (in radians) of the phase shifter [26], as compared to an ideal phase shifter, can be expressed as (9) The gain of the phase shifter with the gain and phase errors in the weighted I/Q signals is given by (10) As compared to an ideal phase shifter, the RMS gain errors (in dBs) [26] of the phase shifter can be expressed as (11) From (9) and (11), for example, in order to design a 4-bit phase shifter with RMS gain and phase errors of less than 1.7 dB and 11.25 , respectively, we have and . In other words, in comparison to an ideal phase shifter with perfect I/Q signal generation and weighting, the gain and phase errors in the weighted I/Q signals before signal combination are less than 2.8 dB and 16 , respectively.…”