New mathematical formulation for designing a fully differential self-biased folded cascode amplifier

One of the most important building blocks in analog circuit design is the operational amplifiers. This is because of their versatility and wide spread usage in many applications such as communications transmitters and receivers, analog to digital converters, or any other application that requires a small signal to be amplified. The basic amplifier topologies are introduced. Then, some operational amplifiers topologies are introduced with some techniques to self bias these amplifiers. The folded cascode fully differential Op-Amp with self bias is presented. This is one of the newest amplifier topologies which provide stable self-biased amplifiers. A new mathematical model for fully differential folded cascode amplifiers is presented and generalized to include the family of fully differential complementary amplifiers. This formulation focuses on deriving detailed design equations for the amplifier gain and frequency response. The equations are verified through time domain and frequency domain simulations of different fabrication processes to ensure the validity of the model across a wide range of processes. The model was verified against TMSC 180nm, 250nm, and 350nm fabrication processes. The new model agrees well with simulations; with 1% error for the amplifier gain and \u3c7% error for amplifier bandwidth. The relatively high error value for the bandwidth is because the model considers the worst case scenario and overestimates the output capacitance. Finally, the algorithm of getting this formulation is extended to include special and commonly used cases. This formulation proved to be very useful in designing stable, self-biased, fully differential folded cascode amplifiers

An improved reversed miller compensation technique for three-stage CMOS OTAs with double pole-zero cancellation and almost single-pole frequency response

This paper presents an improved reversed nested Miller compensation technique exploiting a single additional feed-forward stage to obtain double pole-zero cancellation and ideally single-pole behavior, in a three-stage Miller amplifier. The approach allows designing a three-stage operational transconductance amplifier (OTA) with one dominant pole and two (ideally) mutually cancelling pole-zero doublets. We demonstrate the robustness of the proposed cancellation technique, showing that it is not significantly influenced by process and temperature variations. The proposed design equations allow setting the unity-gain frequency of the amplifier and the complex poles' resonance frequency and quality factor. We introduce the notion of bandwidth efficiency to quantify the OTA performance with respect to a telescopic cascode OTA for given load capacitance and power consumption constraints and demonstrate analytically that the proposed approach allows a bandwidth efficiency that can ideally approach 100%. A CMOS implementation of the proposed compensation technique is provided, in which a current reuse scheme is used to reduce the total current consumption. The OTA has been designed using a 130-nm CMOS process by STMicroelectronics and achieves a DC gain larger than 120 dB, with almost single-pole frequency response. Monte Carlo simulations have been performed to show the robustness of the proposed approach to process, voltage, and temperature (PVT) variations and mismatches

Amplifier performance enhancement methods using positive feedback techniques

The dramatic growth in the hi-tech sector of consumer market has created many unprecedented challenges in the area of integrated circuits. The present and future communication and entertainment systems including high speed cable and DSL modems, broadband wired and wireless systems, and high definition visual products require very fast and high accuracy amplifiers, data converters and filters. Analog design in the new digital CMOS submicron processes is becoming an economical necessity in the industry. The task of building fast Op-Amp with very high DC-gain is already a very difficult problem, and this task has become more difficult using these new submicron digital processes, where traditional gain enhancement techniques are loosing their ability to deliver amplifiers with sufficient gain. In this work three new methods of implementing the internal positive-feedback to build very high DC-gain amplifiers with very low gain sensitivity to signal swings are presented. Amplifiers proposed in the first method have very high current-controlled gain. A DC gain larger than 100dB is possible without limiting the speed of the amplifier. Amplifiers proposed in the second method exhibit both enhanced speed, i.e., unity gain frequency, and enhanced gain. Amplifiers proposed in the third method have self-adjusting gain without extra control block. An implementation of a 3 bit multiplying DAC in a 9-bit 165MS/s pipeline ADC built in a 1.8V, 0.21mu digital CMOS process using one of the proposed amplifiers is described. Test results show high gain with very fast settling

Rf Power Amplifier And Oscillator Design For Reliability And Variability

CMOS RF circuit design has been an ever-lasting research field. It gained so much attention since RF circuits have high mobility and wide band efficiency, while CMOS technology has the advantage of low cost and better capability of integration. At the same time, IC circuits never stopped scaling down for the recent many decades. Reliability issues with RF circuits have become more and more severe with device scaling down: reliability effects such as gate oxide break down, hot carrier injection, negative bias temperature instability, have been amplified as the device size shrinks. Process variability issues also become more predominant as the feature size decreases. With these insights provided, reliability and variability evaluations on typical RF circuits and possible compensation techniques are highly desirable. In this work, a class E power amplifier is designed and laid out using TSMC 0.18 µm RF technology and the chip was fabricated. Oxide stress and hot electron tests were carried out at elevated supply voltage, fresh measurement results were compared with different stress conditions after 10 hours. Test results matched very well with mixed mode circuit simulations, proved that hot carrier effects degrades PA performances like output power, power efficiency, etc. Self- heating effects were examined on a class AB power amplifier since PA has high power operations. Device temperature simulation was done both in DC and mixed mode level. Different gate biasing techniques were analyzed and their abilities to compensate output power were compared. A simple gate biasing circuit turned out to be efficient to compensate selfheating effects under different localized heating situations. iv Process variation was studied on a classic Colpitts oscillator using Monte-Carlo simulation. Phase noise was examined since it is a key parameter in oscillator. Phase noise was modeled using analytical equations and supported by good match between MATLAB results and ADS simulation. An adaptive body biasing circuit was proposed to eliminate process variation. Results from probability density function simulation demonstrated its capability to relieve process variation on phase noise. Standard deviation of phase noise with adaptive body bias is much less than the one without compensation. Finally, a robust, adaptive design technique using PLL as on-chip sensor to reduce Process, Voltage, Temperature (P.V.T.) variations and other aging effects on RF PA was evaluated. The frequency and phase of ring oscillator need to be adjusted to follow the frequency and phase of input in PLL no matter how the working condition varies. As a result, the control signal of ring oscillator has to fluctuate according to the working condition, reflecting the P.V.T changes. RF circuits suffer from similar P.V.T. variations. The control signal of PLL is introduced to RF circuits and converted to the adaptive tuning voltage for substrate bias. Simulation results illustrate that the PA output power under different variations is more flat than the one with no compensation. Analytical equations show good support to what has been observed

Analog integrated circuit design in ultra-thin oxide CMOS technologies with significant direct tunneling-induced gate current

The ability to do mixed-signal IC design in a CMOS technology has been a driving force for manufacturing personal mobile electronic products such as cellular phones, digital audio players, and personal digital assistants. As CMOS has moved to ultra-thin oxide technologies, where oxide thicknesses are less than 3 nm, this type of design has been threatened by the direct tunneling of carriers though the gate oxide. This type of tunneling, which increases exponentially with decreasing oxide thickness, is a source of MOSFET gate current. Its existence invalidates the simplifying design assumption of infinite gate resistance. Its problems are typically avoided by switching to a high-&kappa/metal gate technology or by including a second thick(er) oxide transistor. Both of these solutions come with undesirable increases in cost due to extra mask and processing steps. Furthermore, digital circuit solutions to the problems created by direct tunneling are available, while analog circuit solutions are not. Therefore, it is desirable that analog circuit solutions exist that allow the design of mixed-signal circuits with ultra-thin oxide MOSFETs. This work presents a methodology that develops these solutions as a less costly alternative to high-&kappa/metal gate technologies or thick(er) oxide transistors. The solutions focus on transistor sizing, DC biasing, and the design of current mirrors and differential amplifiers. They attempt to minimize, balance, and cancel the negative effects of direct tunneling on analog design in traditional (non-high-&kappa/metal gate) ultra-thin oxide CMOS technologies. They require only ultra-thin oxide devices and are investigated in a 65 nm CMOS technology with a nominal VDD of 1 V and a physical oxide thickness of 1.25 nm. A sub-1 V bandgap voltage reference that requires only ultra-thin oxide MOSFETs is presented (TC = 251.0 ppm/°C). It utilizes the developed methodology and illustrates that it is capable of suppressing the negative effects of direct tunneling. Its performance is compared to a thick-oxide voltage reference as a means of demonstrating that ultra-thin oxide MOSFETs can be used to build the analog component of a mixed-signal system

Time-domain optimization of amplifiers based on distributed genetic algorithms

Thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Electrical and Computer EngineeringThe work presented in this thesis addresses the task of circuit optimization, helping the designer facing the high performance and high efficiency circuits demands of the market and technology evolution. A novel framework is introduced, based on time-domain analysis, genetic algorithm optimization, and distributed processing. The time-domain optimization methodology is based on the step response of the amplifier. The main advantage of this new time-domain methodology is that, when a given settling-error is reached within the desired settling-time, it is automatically guaranteed that the amplifier has enough open-loop gain, AOL, output-swing (OS), slew-rate (SR), closed loop bandwidth and closed loop stability. Thus, this simplification of the circuit‟s evaluation helps the optimization process to converge faster. The method used to calculate the step response expression of the circuit is based on the inverse Laplace transform applied to the transfer function, symbolically, multiplied by 1/s (which represents the unity input step). Furthermore, may be applied to transfer functions of circuits with unlimited number of zeros/poles, without approximation in order to keep accuracy. Thus, complex circuit, with several design/optimization degrees of freedom can also be considered. The expression of the step response, from the proposed methodology, is based on the DC bias operating point of the devices of the circuit. For this, complex and accurate device models (e.g. BSIM3v3) are integrated. During the optimization process, the time-domain evaluation of the amplifier is used by the genetic algorithm, in the classification of the genetic individuals. The time-domain evaluator is integrated into the developed optimization platform, as independent library, coded using C programming language. The genetic algorithms have demonstrated to be a good approach for optimization since they are flexible and independent from the optimization-objective. Different levels of abstraction can be optimized either system level or circuit level. Optimization of any new block is basically carried-out by simply providing additional configuration files, e.g. chromosome format, in text format; and the circuit library where the fitness value of each individual of the genetic algorithm is computed. Distributed processing is also employed to address the increasing processing time demanded by the complex circuit analysis, and the accurate models of the circuit devices. The communication by remote processing nodes is based on Message Passing interface (MPI). It is demonstrated that the distributed processing reduced the optimization run-time by more than one order of magnitude. Platform assessment is carried by several examples of two-stage amplifiers, which have been optimized and successfully used, embedded, in larger systems, such as data converters. A dedicated example of an inverter-based self-biased two-stage amplifier has been designed, laid-out and fabricated as a stand-alone circuit and experimentally evaluated. The measured results are a direct demonstration of the effectiveness of the proposed time-domain optimization methodology.Portuguese Foundation for the Science and Technology (FCT

Cmos Rf Cituits Sic] Variability And Reliability Resilient Design, Modeling, And Simulation

The work presents a novel voltage biasing design that helps the CMOS RF circuits resilient to variability and reliability. The biasing scheme provides resilience through the threshold voltage (VT) adjustment, and at the mean time it does not degrade the PA performance. Analytical equations are established for sensitivity of the resilient biasing under various scenarios. Power Amplifier (PA) and Low Noise Amplifier (LNA) are investigated case by case through modeling and experiment. PTM 65nm technology is adopted in modeling the transistors within these RF blocks. A traditional class-AB PA with resilient design is compared the same PA without such design in PTM 65nm technology. Analytical equations are established for sensitivity of the resilient biasing under various scenarios. A traditional class-AB PA with resilient design is compared the same PA without such design in PTM 65nm technology. The results show that the biasing design helps improve the robustness of the PA in terms of linear gain, P1dB, Psat, and power added efficiency (PAE). Except for post-fabrication calibration capability, the design reduces the majority performance sensitivity of PA by 50% when subjected to threshold voltage (VT) shift and 25% to electron mobility (μn) degradation. The impact of degradation mismatches is also investigated. It is observed that the accelerated aging of MOS transistor in the biasing circuit will further reduce the sensitivity of PA. In the study of LNA, a 24 GHz narrow band cascade LNA with adaptive biasing scheme under various aging rate is compared to LNA without such biasing scheme. The modeling and simulation results show that the adaptive substrate biasing reduces the sensitivity of noise figure and minimum noise figure subject to process variation and iii device aging such as threshold voltage shift and electron mobility degradation. Simulation of different aging rate also shows that the sensitivity of LNA is further reduced with the accelerated aging of the biasing circuit. Thus, for majority RF transceiver circuits, the adaptive body biasing scheme provides overall performance resilience to the device reliability induced degradation. Also the tuning ability designed in RF PA and LNA provides the circuit post-process calibration capability

Ultra-low power mixed-signal frontend for wearable EEGs

Electronics circuits are ubiquitous in daily life, aided by advancements in the chip design industry, leading to miniaturised solutions for typical day to day problems. One of the critical healthcare areas helped by this advancement in technology is electroencephalography (EEG). EEG is a non-invasive method of tracking a person's brain waves, and a crucial tool in several healthcare contexts, including epilepsy and sleep disorders. Current ambulatory EEG systems still suffer from limitations that affect their usability. Furthermore, many patients admitted to emergency departments (ED) for a neurological disorder like altered mental status or seizures, would remain undiagnosed hours to days after admission, which leads to an elevated rate of death compared to other conditions. Conducting a thorough EEG monitoring in early-stage could prevent further damage to the brain and avoid high mortality. But lack of portability and ease of access results in a long wait time for the prescribed patients. All real signals are analogue in nature, including brainwaves sensed by EEG systems. For converting the EEG signal into digital for further processing, a truly wearable EEG has to have an analogue mixed-signal front-end (AFE). This research aims to define the specifications for building a custom AFE for the EEG recording and use that to review the suitability of the architectures available in the literature. Another critical task is to provide new architectures that can meet the developed specifications for EEG monitoring and can be used in epilepsy diagnosis, sleep monitoring, drowsiness detection and depression study. The thesis starts with a preview on EEG technology and available methods of brainwaves recording. It further expands to design requirements for the AFE, with a discussion about critical issues that need resolving. Three new continuous-time capacitive feedback chopped amplifier designs are proposed. A novel calibration loop for setting the accurate value for a pseudo-resistor, which is a crucial block in the proposed topology, is also discussed. This pseudoresistor calibration loop achieved the resistor variation of under 8.25%. The thesis also presents a new design of a curvature corrected bandgap, as well as a novel DDA based fourth-order Sallen-Key filter. A modified sensor frontend architecture is then proposed, along with a detailed analysis of its implementation. Measurement results of the AFE are finally presented. The AFE consumed a total power of 3.2A (including ADC, amplifier, filter, and current generation circuitry) with the overall integrated input-referred noise of 0.87V-rms in the frequency band of 0.5-50Hz. Measurement results confirmed that only the proposed AFE achieved all defined specifications for the wearable EEG system with the smallest power consumption than state-of-art architectures that meet few but not all specifications. The AFE also achieved a CMRR of 131.62dB, which is higher than any studied architectures.Open Acces