Abstract
This paper presents a systematic method to analyze $N$ -path mixers and filters consisting of periodically switched $RC$ -networks of arbitrary order. It is assumed that each capacitor periodically exchanges charge with the rest of the network during the on-phase of the switching clock, then samples its charge, and holds it perfectly until the next on-phase. This assumption allows for using the adjoint network for simplified analysis of the harmonic transfer functions that describe the signal transfer and folding. Moreover, harmonic transfer cancellations due to the $N$ -path implementation with $N$ equal capacitors switched by $N$ non-overlapping clocks are systematically analyzed. The method is applied to a recently published $N$ -path filter-mixer combination and verified by simulations.
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