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Temperature error in ºC --><br />

φETF (degrees)<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

-0.2<br />

-0.4<br />

-0.6<br />

-0.8<br />

100<br />

95<br />

90<br />

85<br />

80<br />

75<br />

70<br />

65<br />

60<br />

-60 -40 -20 0 20 40 60 80 100 120 140<br />

Temperature (°C)<br />

Figure 7: Measured phase shift as a function of temperature.<br />

Figure 8: Chip photo of one of the proof-of-concept devices.<br />

-1<br />

-60 -40 -20 0 20 40 60 80 100 120 140<br />

Temperature in ºC --><br />

Figure 9: Temperature error over temperature for 16 devices; the black lines<br />

indicate 3σ limits.<br />

CONCLUSIONS<br />

This paper has presented an overview of recently<br />

developed integrated temperature sensors based on thermal<br />

diffusivity. The thermal diffusivity of bulk silicon is a welldefined<br />

function of temperature, and as such can be used to<br />

create accurate temperature sensors. An Electrothermal Filter<br />

(ETF) can be used to realize a temperature-dependent<br />

7-9 October 2009, Leuven, Belgium<br />

thermal delay, which can then be measured in various ways.<br />

Proof-of-concept devices, realized in 0.7μm CMOS<br />

technology, provide either a frequency or a digital output<br />

that is a function of temperature. Without trimming, the<br />

measured device-to-device spread is ±0.6°C (3σ) over the<br />

military temperature range (-55°C to 125°C). This error is<br />

dominated by lithographic inaccuracy, and is expected to be<br />

much less in nanometer CMOS technology, as higher<br />

lithographic resolution will reduce the device-to-device<br />

variations in the thermal delay. Therefore, thermal<br />

diffusivity sensors are well-positioned as temperature<br />

sensors for thermal management in large ASICs and<br />

microprocessors.<br />

REFERENCES<br />

[1] H.F. Hamann et al., “Hotspot-limited microprocessors: Direct<br />

temperature and power distribution measurements,” JSSC, vol. 42, is. 1,<br />

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[2] M.A.P. Pertijs, K.A.A. Makinwa and J.H. Huijsing, “A CMOS<br />

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2005.<br />

[3] A.L. Aita, M.A.P. Pertijs, K.A.A. Makinwa, J.H.Huijsing, “A CMOS<br />

Smart Temperature Sensor with a Batch-Calibrated Inaccuracy of<br />

±0.25°C (3σ) from -70 to 130°C,” IEEE ISSCC Dig. Tech. Papers, pp.<br />

340-341, February 2009.<br />

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[12] K.A.A. Makinwa and M.F. Snoeij, “A CMOS temperature-to-frequency<br />

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[13] C. Zhang and K.A.A. Makinwa, “Interface Electronics for a CMOS<br />

Electrothermal Frequency-Locked-Loop”, IEEE J. Solid-State Circuits,<br />

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[14] C. Zhang and K.A.A. Makinwa, “The effect of substrate doping on the<br />

behavior of a CMOS electrothermal frequency-locked-loop,” Digest of<br />

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[15] S. Xia, K.A.A. Makinwa, “Design of an optimized electrothermal filter<br />

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[16] C.P.L. van Vroonhoven and K.A.A. Makinwa, “A CMOS Temperatureto-Digital<br />

Converter with an inaccuracy of ±0.5°C (3σ) from -55 to<br />

125°C,” IEEE ISSCC Dig. Tech. Papers, pp. 576–577, February 2008.<br />

[17] S.M. Kashmiri, S. Xia, K.A.A. Makinwa, “A Temperature-to-Digital<br />

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ESSCIRC 2008, pp. 74–77, September 2008.<br />

[18] C.P.L. van Vroonhoven, K.A.A. Makinwa, “Thermal Diffusivity<br />

Sensors for Wide-Range Temperature Sensing”, Proc. IEEE Sensors<br />

2008, pp. 764–767, October 2008.<br />

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BEC’96, Oct. 1996, pp. 73–76.<br />

©<strong>EDA</strong> <strong>Publishing</strong>/THERMINIC 2009 143<br />

ISBN: 978-2-35500-010-2

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