A 1036-F<sup>2</sup>/Bit High Reliability Temperature Compensated Cross-Coupled Comparator-Based PUF
Qiang Zhao, Yiheng Wu, Xiaojin Zhao, Yuan Cao, Chip-Hong Chang
Abstract
In this article, a compact physical unclonable function (PUF) based on cross-coupled comparator is presented. Featuring a positive feedback response generation mechanism, the mismatch in analog signals between the cross-coupled transistor pair is quickly amplified to prevent its polarity from flipping by the temporal noise. The rapid enlargement of noise margin by the sense amplifier also contributes to stabilizing the response against supply voltage variations. To improve its temperature stability, the counteracting effect of complementary-to-absolutetemperature (CTAT) and proportional-to-absolute-temperature (PTAT) drives are considered in sizing the bit cell transistors. The proposed design is fabricated in a standard 65-nm CMOS process. The bit cell occupies an area of only 4.38 μm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> (i.e., 1036 F <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> ), and the overall PUF chip consumes 2.98 pJ/bit at the throughput of 8 Mb/s, of which only 1.61 pJ/bit is due to the PUF's core. With the uniqueness measured to be 49.53%, the unpredictability of the fabricated PUF chips is validated by autocorrelation function and NIST randomness tests. Compared with the state-of-the-art implementations, the proposed PUF has the lowest native response instability of 1.46% with 500 repeated PUF readouts at 27 °C and 1.2 V. By varying the operating temperature from -50 °C to 150 °C in a step size of 10 °C and the supply voltage from 1.0 to 1.4 V in a step size of 0.1 V simultaneously, the average reliability of the proposed PUF obtained from the 2-D plot of all operating conditions is found to be 96.87% without correction and 99.31% with spatial majority voting (SMV).