Frequency-domain analysis of a mixer-first receiver using conversion matrices

The analysis of a mixer-first receiver using conversion matrices is presented. Conversion matrices provide a systematic approach to analyze linear periodically time-varying (LPTV) circuits. Using conversion matrices of LPTV components in a frequency domain equivalent circuit allows analysis similar to a linear time invariant (LTI) circuit. For example, Ohm´s law, Kirchhoff´s voltage and current laws, impedance combination rules, etc., can all be used in such equivalent circuits. On applying this method to a mixer-first receiver, a common LPTV circuit, results already established in prior art are reproduced accurately. Further, effects of a few important non-idealities, such as clock overlaps, imperfect clock edges and parasitic components that were not considered previously, are also calculated and verified.