Generalized analysis of high-order switch-RCN -path mixers/filters using the adjoint network

Shanthi Pavan, Eric A.M. Klumperink

    Research output: Contribution to journalArticleAcademicpeer-review

    17 Citations (Scopus)
    406 Downloads (Pure)


    This paper presents a systematic method to analyze N-path mixers and filters consisting of periodically switched RCnetworks 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.
    Original languageEnglish
    Pages (from-to)3267-3278
    Number of pages12
    JournalIEEE transactions on circuits and systems I: regular papers
    Issue number10
    Publication statusPublished - 1 Oct 2018


    • Switches
    • Capacitors
    • Mixers
    • Switching circuits
    • Bandwidth
    • Transfer functions
    • Radio frequency


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