A transform method was used to model a discrete time multi-tap direct sampling mixer. The method transforms the mixed filtering and down-sampling stages to separate cascade filtering and sampling stages to determine the unfolded frequency response which shows the anti-aliasing ability of the mixer. The transformation can also be applied to other mixed signal and multi-rate receiver systems to analyze their unfolded frequency responses. The transformed system architecture was used to calculate the unfolded frequency response of the multi-tap direct sampling mixer and compared with the mixer model without noise in the advanced design system 2005A environment to further evaluate the frequency response. The simulations show that the-3dB bandwidth is 3.0MHz and the voltage gain is attenuated by 1.5 dB within a 1-MHz baseband bandwidth.
This paper presents an approach for analyzing the key parts of a general digital radio frequency(RF) charge sampling mixer based on discrete-time charge values.The cascade sampling and filtering stages are analyzed and expressed in theoretical formulae.The effects of a pseudo-differential structure and CMOS switch-on resistances on the transfer function are addressed in detail.The DC-gain is restrained by using the pseudo-differential structure.The transfer gain is reduced because of the charge-sharing time constant when taking CMOS switch-on resistances into account.The unfolded transfer gains of a typical digital RF charge sampling mixer are analyzed in different cases using this approach.A circuit-level model of the typical mixer is then constructed and simulated in Cadence SpectreRF to verify the results.This work informs the design of charge-sampling,infinite impulse response(ⅡR) filtering,and finite impulse response(FIR) filtering circuits.The discrete-time approach can also be applied to other multi-rate receiver systems based on charge sampling techniques.
