Exploring Nonlinearity in a Radio Frequency Mixer

Abstract This study demonstrates a simple yet effective experiment showing the operating principle of a frequency mixer, which serves as a useful tool for exploring nonlinear systems. The experiment utilizes elementary electronic components, as a silicon diode, to generate and mix signals. The signal analysis, including the sum and difference of the input frequencies as well as higher order harmonics, is performed in the frequency domain using a digital oscilloscope via Fourier transform. A theoretical model based on the diode’s nonlinear response, as described by the Shockley equation, is proposed and compared with the experimental data. The model assumes the diode acts as a fast switch and exploits impedance matching between the transmission line and load to derive an expression for the resulting signal. The study also demonstrates a method for evaluating the conversion loss of specific spectral components. Results show excellent agreement between the proposed model and experimental measurements, validating the approach. The setup is simple and effective, making it suitable for educational environments focused on nonlinear circuit behavior and frequency-domain analysis.

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Publication Details

Journal
Revista Brasileira de Ensino de Física
Published
2025-01-01
DOI
https://doi.org/10.1590/1806-9126-rbef-2025-0091
Primary Topic
Microwave Engineering and Waveguides
Type
article
Field-Weighted Citation Impact
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article

Exploring Nonlinearity in a Radio Frequency Mixer

Thonimar V. Alencar
Revista Brasileira de Ensino de Física
Microwave Engineering and Waveguides
article

Exploring Nonlinearity in a Radio Frequency Mixer

Thonimar V. Alencar
article en

Abstract

Abstract This study demonstrates a simple yet effective experiment showing the operating principle of a frequency mixer, which serves as a useful tool for exploring nonlinear systems. The experiment utilizes elementary electronic components, as a silicon diode, to generate and mix signals. The signal analysis, including the sum and difference of the input frequencies as well as higher order harmonics, is performed in the frequency domain using a digital oscilloscope via Fourier transform. A theoretical model based on the diode’s nonlinear response, as described by the Shockley equation, is proposed and compared with the experimental data. The model assumes the diode acts as a fast switch and exploits impedance matching between the transmission line and load to derive an expression for the resulting signal. The study also demonstrates a method for evaluating the conversion loss of specific spectral components. Results show excellent agreement between the proposed model and experimental measurements, validating the approach. The setup is simple and effective, making it suitable for educational environments focused on nonlinear circuit behavior and frequency-domain analysis.

Revista Brasileira de Ensino de FísicaVol. 47
Universidade Federal do Espírito Santo (BR)
Openalex Percentile: Top 74%
Microwave Engineering and Waveguides
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