High Frequency Analysis of Inductor Temperature Dependence for On-Chip LC-Based Frequency Reference

In a typical LC cross-coupled oscillator operating in free-running mode and intended as an on-chip frequency reference, the frequency drift due to the temperature-induced inductance variation is studied. By analyzing the parameters of a simple cylindrical conductor and then a more realistic inductance, it has been shown that the section plays a key role in thermal frequency drift. For a frequency of 40 GHz, designing the inductor with a section of 48 μm<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> instead of 12μm<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> enables a reduction of the temperature coefficient of frequency (TCF) of more than 30 %, reaching -19ppm/°C over a temperature range from -40 °C to 140 °C, without frequency compensation.

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Published
2024-11-18
DOI
https://doi.org/10.1109/icecs61496.2024.10849288
Primary Topic
VLSI and Analog Circuit Testing
Type
article
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article

High Frequency Analysis of Inductor Temperature Dependence for On-Chip LC-Based Frequency Reference

N. Dehaese, Camille Robert, J. Lajoinie, H. Barthélemy
VLSI and Analog Circuit Testing
article

High Frequency Analysis of Inductor Temperature Dependence for On-Chip LC-Based Frequency Reference

N. Dehaese, Camille Robert, J. Lajoinie, H. Barthélemy
article en

Abstract

In a typical LC cross-coupled oscillator operating in free-running mode and intended as an on-chip frequency reference, the frequency drift due to the temperature-induced inductance variation is studied. By analyzing the parameters of a simple cylindrical conductor and then a more realistic inductance, it has been shown that the section plays a key role in thermal frequency drift. For a frequency of 40 GHz, designing the inductor with a section of 48 μm<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> instead of 12μm<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> enables a reduction of the temperature coefficient of frequency (TCF) of more than 30 %, reaching -19ppm/°C over a temperature range from -40 °C to 140 °C, without frequency compensation.

Centre National de la Recherche Scientifique (FR), Université de Toulon (FR), Aix-Marseille Université (FR), STMicroelectronics (France) (FR), Institut des Matériaux, de Microélectronique et des Nanosciences de Provence (FR)
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VLSI and Analog Circuit Testing
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