Characterization of process variability and robust optimization of analog circuits

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2008.Includes bibliographical references (p. 161-174).Continuous scaling of CMOS technology has enabled dramatic performance enhancement of CMOS devices and has provided speed, power, and density improvement in both digital and analog circuits. CMOS millimeter-wave applications operating at more than 50GHz frequencies has become viable in sub-100nm CMOS technologies, providing advantages in cost and high density integration compared to other heterogeneous technologies such as SiGe and III-V compound semiconductors. However, as the operating frequency of CMOS circuits increases, it becomes more difficult to obtain sufficiently wide operating ranges for robust operation in essential analog building blocks such as voltage-controlled oscillators (VCOs) and frequency dividers. The fluctuations of circuit parameters caused by the random and systematic variations in key manufacturing steps become more significant in nano-scale technologies. The process variation of circuit performance is quickly becoming one of the main concerns in high performance analog design. In this thesis, we show design and analysis of a VCO and frequency divider operating beyond 70GHz in a 65nm SOI CMOS technology. The VCO and frequency divider employ design techniques enlarging frequency operating ranges to improve the robustness of circuit operation. Circuit performance is measured from a number of die samples to identify the statistical properties of performance variation. A back-propagation of variation (BPV) scheme based on sensitivity analysis of circuit performance is proposed to extract critical circuit parameter variation using statistical measurement results of the frequency divider. We analyze functional failure caused by performance variability, and propose dynamic and static optimization methods to improve parametric yield. An external bias control is utilized to dynamically tune the divider operating range and to compensate for performance variation. A novel time delay model of a differential CML buffer is proposed to functionally approximate the maximum operating frequency of the frequency divider, which dramatically reduces computational cost of parametric yield estimation. The functional approximation enables the optimization of the VCO and frequency divider parametric yield with a reasonable amount of simulation time.by Daihyun Lim.Ph.D

Design of injection locked frequency divider in 65nm CMOS technology for mmW applications

In this paper, an Injection Locking Frequency Divider (ILFD) in 65 nm RF CMOS Technology for applications in millimeter-wave (mm-W) band is presented. The proposed circuit achieves 12.69% of locking range without any tuning mechanism and it can cover the entire mm-W band in presence of Process, Voltage and Temperature (PVT) variations by changing the Injection Locking Oscillator (ILO) voltage control. A design methodology flow is proposed for ILFD design and an overview regarding CMOS capabilities and opportunities for mm-W transceiver implementation is also exposed.Postprint (published version

Design of Frequency divider with voltage vontrolled oscillator for 60 GHz low power phase-locked loops in 65 nm RF CMOS

Increasing memory capacity in mobile devices, is driving the need of high-data rates equipment. The 7 GHz band around 60 GHz provides the opportunity for multi-gigabit/sec wireless communication. It is a real opportunity for developing next generation of High-Definition (HD) devices. In the last two decades there was a great proliferation of Voltage Controlled Oscillator (VCO) and Frequency Divider (FD) topologies in RF ICs on silicon, but reaching high performance VCOs and FDs operating at 60 GHz is in today's technology a great challenge. A key reason is the inaccuracy of CMOS active and passive device models at mm-W. Three critical issues still constitute research objectives at 60 GHz in CMOS: generation of the Local Oscillator (LO) signal (1), division of the LO signal for the Phase-Locked Loop (PLL) closed loop (2) and distribution of the LO signal (3). In this Thesis, all those three critical issues are addressed and experimentally faced-up: a divide-by-2 FD for a PLL of a direct-conversion transceiver operating at mm-W frequencies in 65 nm RF CMOS technology has been designed. Critical issues such as Process, Voltage and Temperature (PVT) variations, Electromagnetic (EM) simulations and power consumption are addressed to select and design a FD with high frequency dividing range. A 60 GHz VCO is co-designed and integrated in the same die, in order to provide the FD with mm-W input signal. VCOs and FDs play critical roles in the PLL. Both of them constitute the PLL core components and they would need co-design, having a big impact in the overall performance especially because they work at the highest frequency in the PLL. Injection Locking FD (ILFD) has been chosen as the optimum FD topology to be inserted in the control loop of mm-W PLL for direct-conversion transceiver, due to the high speed requirements and the power consumption constraint. The drawback of such topology is the limited bandwidth, resulting in narrow Locking Range (LR) for WirelessHDTM applications considering the impact of PVT variations. A simulation methodology is presented in order to analyze the ILFD locking state, proposing a first divide-by-2 ILFD design with continuous tuning. In order to design a wide LR, low power consumption ILFD, the impacts of various alternatives of low/high Q tank and injection scheme are deeply analysed, since the ILFD locking range depends on the Q of the tank and injection efficiency. The proposed 3-bit dual-mixing 60 GHz divide-by-2 LC-ILFD is designed with an accumulation of switching varactors binary scaled to compensate PVT variations. It is integrated in the same die with a 4-bit 60 GHz LC-VCO. The overall circuit is designed to allow measurements of the singles blocks stand-alone and working together. The co-layout is carried on with the EM modelling process of passives devices, parasitics and transmission lines extracted from the layout. The inductors models provided by the foundry are qualified up to 40 GHz, therefore the EM analysis is a must for post-layout simulation. The PVT variations have been simulated before manufacturing and, based on the results achieved, a PLL scheme PVT robust, considering frequency calibration, has been patented. The test chip has been measured in the CEA-Leti (Grenoble) during a stay of one week. The operation principle and the optimization trade-offs among power consumption, and locking ranges of the final selected ILFD topology have been demonstrated. Even if the experimental results are not completely in agreement with the simulations, due to modelling error and inaccuracy, the proposed technique has been validated with post-measurement simulations. As demonstrated, the locking range of a low-power, discrete tuned divide-by-2 ILFD can be enhanced by increasing the injection efficiency, without the drawbacks of higher power consumption and chip area. A 4-bits wide tuning range LC-VCO for mm-W applications has been co-designed using the selected 65 nm CMOS process.Postprint (published version