PMIC Seminar – Reference Circuit & Temperature Sensor

PMIC Seminar - Reference Circuit & Temperature Sensor

PMIC Seminar

The seminar is a regular activity of the Power and Mixed-Signal Integrated Circuit Laboratory, held once a month, hosted by the heads of various research directions in the laboratory. The aim is to enhance communication and integration among research groups, share cutting-edge research dynamics, and summarize stage achievements. This session will continue the content of the previous session on analog chip design, including reference circuit design presented by Sun Xuan, and temperature sensor design presented by Deng Chen.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 1: Sun Xuan introduces the reference circuit content

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 2: Deng Chen introduces the temperature sensor chip

01
Reference Circuit Design

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 3: Reference circuit explanation directory

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 4: Application of the reference circuit

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 5: Design requirements for the reference circuit

The reference circuit is a critical circuit module that provides precise bias for other circuit modules. As shown in Figure 4, the reference current provides bias for operational amplifiers and other circuits; while the reference voltage provides reference voltage for ADCs, DACs, and sensors. The reference source provides an accurate and stable reference quantity for circuits or systems, and is widely used as a standard basic module in various circuits and systems.

The reference circuit needs to generate a DC current or DC voltage that is not affected by power supply voltage, temperature, and process variations. The shaded area in Figure 5 represents process deviations, and the output reference value will also change with temperature and power supply voltage. Therefore, for the reference circuit, minimizing the impact of these three factors is extremely critical. To describe it with specific metrics, if the process deviation is less than 1% without trimming, it is considered that the process impact is small and does not require additional trimming. Similarly, if the line sensitivity is less than 1% and the temperature coefficient is less than 100ppm, it is considered that the impact of power supply voltage and temperature variations is also small.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 6: Temperature compensation of bandgap reference voltage

For bandgap reference circuits, the generation of PTAT and CTAT voltages is shown in Figure 6. The base-emitter voltage (VBE) of bipolar transistors, which is also the forward voltage of the pn junction diode, has a negative temperature coefficient. When two bipolar transistors operate at unequal current densities, the difference in their base-emitter voltages (△VBE) is proportional to absolute temperature, exhibiting a positive temperature coefficient. We can sum these two voltages with positive and negative temperature coefficients to obtain the reference voltage. The classic bandgap reference outputs a reference voltage value of about 1.25V, as its reference voltage value is similar to the bandgap voltage of silicon, hence it is called the bandgap reference. In fact, it does not utilize the bandgap voltage, and some bandgap structures output voltages that do not match the bandgap voltage.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 7: Temperature compensation of full CMOS reference voltage

The current method of using a full CMOS structure to make reference voltage sources mainly utilizes the temperature characteristics of CMOS transistor threshold voltage (Vth), carrier mobility (μ), and thermal voltage (VT) to compensate each other. Among them, the threshold voltage and carrier mobility have negative temperature dependence, while the thermal voltage has positive temperature dependence. By superimposing two outputs with opposite temperature variation trends, we can offset some of the dependence on temperature fluctuations, thereby optimizing the output accuracy of the reference circuit against temperature influences.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 8: Research hotspots of reference circuits

As a circuit that always operates in a system-on-chip, the low-power design of reference circuits is evidently very important. On the other hand, the shrinking process size each year leads to a decrease in the minimum supply voltage of circuits. Meanwhile, the conversion accuracy and resolution of signal processing systems are directly related to the accuracy of the reference source. The system-on-chip adheres to design principles that prioritize low production costs and high integration, and the demand for reducing circuit area is increasingly strong. Low-cost design and high-temperature tolerance design of reference circuits used in automotive ICs are evidently very important.
Sun Xuan provided detailed explanations of each research hotspot direction using the most advanced research progress as examples.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 9: Performance summary of papers in various research directions
Figure 9 shows a summary of the latest progress in various research directions. Sun Xuan believes that the key difficulty in design lies in how to build a structure as simple as possible while achieving better and more balanced performance parameters. The difficulty in any system design lies in balancing and compromising various factors such as cost, volume, accuracy, and power consumption. When selecting the best reference source for specific design, all relevant parameters need to be considered. However, it is challenging to meet the requirements of low supply voltage, low power consumption, no resistance, high precision, and simultaneous output of reference current and reference voltage in the same circuit, which is precisely the key difficulty in reference circuit research.
02
Temperature Sensor

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 10: Temperature sensor explanation directory

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 11: Application background of temperature sensor chip

Smart temperature sensors have been around for many years; however, with the development of low-power wireless systems, the demand for wireless temperature sensing has significantly increased with the wide opening of new applications, such as in cold supply chains, perishable goods monitoring, livestock and agriculture, automotive, building automation, and healthcare.
PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 12: Classification of temperature sensors

Temperature sensors can generally be divided into two major categories: the first category is high-precision temperature sensors, which have extremely high temperature measurement accuracy (very sensitive to temperature changes) but also have higher power consumption. Their sensing elements include MEMS (Micro-Electro-Mechanical Systems), thermistors, bipolar transistors, etc. The second category is fully CMOS integrated low-power temperature sensors, which have extremely low power consumption but relatively poorer temperature measurement accuracy and are more affected by the process.
The performance indicators of temperature sensors include: measurement range, measurement accuracy, conversion time (the time to convert temperature to a digital signal), measurement error, energy consumed per conversion, power consumption, and figure of merit (FoM). Deng Chen explained the principles of each type of temperature sensor using examples of the latest research.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 13: Example of fully CMOS integrated low-power temperature sensor

Taking the fully CMOS integrated low-power temperature sensor as an example, when biased in the subthreshold region, the drain current ID of the MOSFET and the gate-source voltage VGS exhibit an exponential relationship with temperature, similar to the relationship between the collector current IC and VBE of a BJT, as shown in the formula in the above Figure 13, where k is the Boltzmann constant, T is absolute temperature, q is the electronic charge, W and L represent the width and length of the device, respectively. The parameter m = 1 + CD/COX is the body effect coefficient, where CD and COX are the depletion layer and gate oxide capacitance, respectively.
There is also a similar exponential relationship between the subthreshold of the MOSFET and the equation of the BJT, so MOSFETs can replace BJTs as temperature sensing elements. Compared to BJTs, the gate-source voltage VGS of a MOSFET biased in the subthreshold region is smaller and can be controlled by adjusting W and L, thus providing the possibility of operating under low supply voltage. However, the gate oxide capacitance COX is subject to process fluctuations, and the threshold voltage VT can also vary due to body effects, which also have process fluctuations. Therefore, MOSFET-based sensors have two different parameters subject to process fluctuations, leading to greater inaccuracies compared to BJTs that only require a single point calibration. Therefore, MOSFET-based sensors often require two temperature calibrations to meet the accuracy requirements of most application devices.

The propagation delay of a CMOS inverter chain or the frequency of a ring oscillator can also be used as a measure of temperature. Figure 13 shows the working principle of this sensor, where a counter is used to measure the propagation delay through the inverter chain.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 14: Performance comparison of high-precision temperature sensors

As shown in Figure 14, among high-precision temperature sensors, circuits with MEMS as the core sensing element have the best measurement accuracy and the smallest figure of merit because MEMS are more sensitive to temperature changes compared to integrated resistors and BJTs, but they also occupy a larger area. Circuits with BJTs as sensing elements have relatively balanced performance, with relatively small measurement errors. Circuits with resistors as sensing elements have smaller areas than BJT-type temperature sensors but have larger measurement errors.

PMIC Seminar - Reference Circuit & Temperature Sensor

Figure 15: Performance comparison of fully CMOS integrated low-power temperature sensors

As shown in Figure 15, the development trend of fully CMOS integrated low-power temperature sensors is to continuously reduce power consumption (from nanowatt level to picowatt level), but this engineering will be accompanied by sacrifices in area or measurement error and other performances, although the sacrifices are minimal, and all performances have a good balance.

PMIC Seminar - Reference Circuit & Temperature Sensor
PMIC
PMIC Seminar - Reference Circuit & Temperature Sensor

Sun Xuan and Deng Chen shared content that sparked enthusiastic discussions among everyone, and many experiences regarding the principles and methods of circuit design were shared and exchanged actively. The students in the laboratory greatly benefited from it. The PMIC seminar always brings knowledge and joy to everyone.

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