Simplified Harmonic Rejection Mixer Analysis and Design Based on a Filtered Periodic Impulse Model

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Abstract

Hard-switched mixers have attractive linearity and noise properties, but are plagued by spurious responses due to the harmonic content of square-wave signals. Harmonic rejection mixers (HRMs) reject (some of) these responses and can be constructed combining polyphase mixing and amplitude weighting. This paper presents a generalized model for the analysis of the of such HRMs, based on circular convolution. We show that the effective signal can be modeled as a periodic Dirac impulse filtered by a time-discrete filter. For a multi-stage system, this filter consists of multiple stages as well, and the coefficients of each stage can be found simply by inspection. The total is shown to be the sum (in dB) of the rejection of the individual filtering stages, highly simplifying analysis and design of HRMs
Original languageEnglish
Number of pages5
JournalIEEE transactions on circuits and systems II: express briefs
Early online date14 Jan 2021
DOIs
Publication statusE-pub ahead of print/First online - 14 Jan 2021

Keywords

  • Circular convolution
  • Frequency conversion
  • Harmonic rejection
  • Mixer

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