Unified frequency-domain analysis of switched-series-RC passive mixers and samplers

  • Authors:

  • Michiel C. M. Soer;Eric A. M. Klumperink;Pieter-Tjerk De Boer;Frank E. Van Vliet;Bram Nauta

  • Affiliations:

  • Integrated Circuit Design Group, Centre for Telematics and Information Technology, University of Twente, Enschede, The Netherlands;Integrated Circuit Design Group, Centre for Telematics and Information Technology, University of Twente, Enschede, The Netherlands;Design and Analysis of Communication Systems Group, CTIT, UT, Enschede, The Netherlands;Netherlands Organization for Applied Scientific Research, The Hague, The Netherlands and Integrated Circuit Design Group, CTIT, UT, Enschede, The Netherlands;Integrated Circuit Design Group, Centre for Telematics and Information Technology, University of Twente, Enschede, The Netherlands

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2010

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Abstract

A wide variety of voltage mixers and samplers are implemented with similar circuits employing switches, resistors, and capacitors. Restrictions on duty cycle, bandwidth, or output frequency are commonly used to obtain an analytical expression for the response of these circuits. This paper derives unified expressions without these restrictions. To this end, the circuits are decomposed into a polyphase multipath combination of single-ended or differential switched-series-RC kernels. Linear periodically time-variant network theory is used to find the harmonic transfer functions of the kernels and the effect of polyphase multipath combining. From the resulting transfer functions, the conversion gain, output noise, and noise figure can be calculated for arbitrary duty cycle, bandwidth, and output frequency. Applied to a circuit, the equations provide a mathematical basis for a clear distinction between a "mixing" and a "sampling" operating region while also covering the design space "in between." Circuit simulations and a comparison with mixers published in literature are performed to support the analysis.