Generalization of Linear Rosenstark Method of Feedback Amplifier Analysis to Nonlinear One

This paper deals with an extension of the Rosenstark’s linear model of an amplifier to a nonlinear one for the purpose of performing nonlinear distortion analysis. Contrary to an approach using phasors, our method uses the Volterra series. Relying upon the linear model mentioned above, we define first a set of the so-called amplifier’s constitutive equations in an operator form. Then, we expand operators using the Volterra series truncated to the first three components. This leads to getting two representations in the time domain, called in-network and inputoutput type descriptions of an amplifier. Afterwards, both of these representations are transferred into the multi-frequency domains. Their usefulness in calculations of any nonlinear distortion measure as, for example, harmonic, intermodulation, and/or cross-modulation distortion is demonstrated. Moreover, we show that they allow a simple calculation of the so-called nonlinear transfer functions in any topology as, for example, of cascade and feedback structures and their combinations occurring in single-, two-, and three-stage amplifiers. Examples of such calculations are given. Finally in this paper, we comment on usage of such notions as nonlinear signals, intermodulation nonlinearity, and on identification of transfer function poles and zeros lying on the frequency axis with related real-valued frequencies

A Methodology to Derive a Symbolic Transfer Function for Multistage Amplifiers

In this paper, a simple while effective methodology to calculate the symbolic transfer function of a multistage amplifier with frequency compensation is proposed. Three general amplifier models are introduced and analyzed, which represent basic topologies found in the literature. For these amplifier models, the symbolic transfer function is derived and specific strategies for the zero and non-dominant pole expressions are presented. The methodology is suited for hand calculations and yields accurate results while offering more intuition into the operation of the widely adopted frequency compensation solutions discussed in the literature. The effectiveness of the proposed approach is validated through various typical cases of study

Power-efficient current-mode analog circuits for highly integrated ultra low power wireless transceivers

In this thesis, current-mode low-voltage and low-power techniques have been applied to implement novel analog circuits for zero-IF receiver backend design, focusing on amplification, filtering and detection stages. The structure of the thesis follows a bottom-up scheme: basic techniques at device level for low voltage low power operation are proposed in the first place, followed by novel circuit topologies at cell level, and finally the achievement of new designs at system level. At device level the main contribution of this work is the employment of Floating-Gate (FG) and Quasi-Floating-Gate (QFG) transistors in order to reduce the power consumption. New current-mode basic topologies are proposed at cell level: current mirrors and current conveyors. Different topologies for low-power or high performance operation are shown, being these circuits the base for the system level designs. At system level, novel current-mode amplification, filtering and detection stages using the former mentioned basic cells are proposed. The presented current-mode filter makes use of companding techniques to achieve high dynamic range and very low power consumption with for a very wide tuning range. The amplification stage avoids gain bandwidth product achieving a constant bandwidth for different gain configurations using a non-linear active feedback network, which also makes possible to tune the bandwidth. Finally, the proposed current zero-crossing detector represents a very power efficient mixed signal detector for phase modulations. All these designs contribute to the design of very low power compact Zero-IF wireless receivers. The proposed circuits have been fabricated using a 0.5μm double-poly n-well CMOS technology, and the corresponding measurement results are provided and analyzed to validate their operation. On top of that, theoretical analysis has been done to fully explore the potential of the resulting circuits and systems in the scenario of low-power low-voltage applications.Programa Oficial de Doctorado en Tecnologías de las Comunicaciones (RD 1393/2007)Komunikazioen Teknologietako Doktoretza Programa Ofiziala (ED 1393/2007

Generalized Time- and Transfer-Constant Circuit Analysis

The generalized method of time and transfer constants is introduced. It can be used to determine the transfer function to the desired level of accuracy in terms of time and transfer constants of first-order systems using exclusively low frequency calculations. This method can be used to determine the poles and zeros of circuits with both inductors and capacitors. An inductive proof of this generalized method is given which subsumes special cases, such as methods of zero- and infinite-value time constants. Several important and useful corollaries of this method are discussed and several examples are analyzed

High gain and bandwidth current-mode amplifiers : study and implementation

Doutoramento em Engenharia ElectrotécnicaEsta tese aborda o problema do projecto de amplificadores com grandes produtos de ganho por largura de banda. A aplicação final considerada consistiu no projecto de amplificadores adequados à recepção de sinais ópticos em sistemas de transmissão ópticos usando o espaço livre. Neste tipo de sistemas as maiores limitações de ganho e largura de banda surgem nos circuitos de entrada. O uso de detectores ópticos com grande área fotosensível é uma necessidade comum neste tipo de sistemas. Estes detectores apresentam grandes capacidades intrínsecas, o que em conjunto com a impedância de entrada apresentada pelo amplificador estabelece sérias restrições no produto do ganho pela largura de banda. As técnicas mais tradicionais para combater este problema recorrem ao uso de amplificadores com retroacção baseados em configurações de transimpedância. Estes amplificadores apresentam baixas impedâncias de entrada devido à acção da retroacção. Contudo, os amplificadores de transimpedância também apresentam uma relação directa entre o ganho e a impedância de entrada. Logo, diminuir a impedância de entrada implica diminuir o ganho. Esta tese propõe duas técnicas novas para combater os problemas referidos. A primeira técnica tem por base uma propriedade fundamental dos amplificadores com retroacção. Em geral, todos os circuitos electrónicos têm tempos de atraso associados, os amplificadores com retroacção não são uma excepção a esta regra. Os tempos de atraso são em geral reconhecidos como elementos instabilizadores neste tipos da amplificadores. Contudo, se usados judiciosamente, este tempos de atraso podem ser explorados como uma forma da aumentar a largura de banda em amplificadores com retroacção. Com base nestas ideias, esta tese apresenta o conceito geral de reatroacção com atraso, como um método de optimização de largura de banda em amplificadores com retroacção. O segundo método baseia-se na destruição da dualidade entre ganho e impedância de entrada existente nos amplificadores de transimpedância. O conceito de adaptação activa em modo de corrente é neste sentido uma forma adequada para separar o detector óptico da entrada do amplificador. De acordo com este conceito, emprega-se um elemento de adaptação em modo de corrente para isolar o detector óptico da entrada do amplificador. Desta forma as tradicionais limitações de ganho e largura de banda podem ser tratadas em separado. Esta tese defende o uso destas técnicas no desenho de amplificadores de transimpedância para sistemas de recepção de sinais ópticos em espaço livre.This thesis addresses the problem of achieving high gain-bandwidth products in amplifiers. The adopted framework consisted on the design of a free-space optical (FSO) front end amplifier able to amplify very small optical signals over large frequency bandwidths. The major gain-bandwidth limitations in FSO front end amplifiers arise due to the input circuitry. Usually, it is necessary to have large area optical detectors in order to maximize signal reception. These detectors have large intrinsic capacitances, which together with the amplifier input impedance poses a severe restriction on the gain-bandwidth product. Traditional techniques to combat this gain-bandwidth limitation resort to feedback amplifiers consisting on transimpedance configurations. These amplifiers have small input impedances due to the feedback action. Nevertheless, transimpedance amplifiers have a direct relation between gain and input impedance. Thus reducing the input impedance usually implies reducing the gain. This thesis advances two new methods suitable to combat the above mentioned problems. The first method is based on a fundamental property of feedback amplifiers. In general, all electronic circuits have associated time delays, and feedback amplifiers are not an exception to this rule. Time delays in feedback amplifiers have been recognized as destabilizing elements. Nevertheless, when used with appropriate care, these delays can be exploited as bandwidth enhancement elements. Based on these ideas, this thesis presents the general concept of delayed feedback, as a bandwidth optimization method suitable for feedback amplifiers. The second method is based on the idea of destroying the impedance-gain duality in transimpedance amplifiers. The concept of active current matching is in this sense a suitable method to detach the optical detector from the transimpedance amplifier input. According to this concept, a current matching device (CMD) is used to convey the signal current sensed by the optical detector, to the amplifier’s input. Using this concept the traditional gainbandwidth limitations can be treated in a separate fashion. This thesis advocates the usage of these techniques for the design of transimpedance amplifiers suited for FSO receiving systems

Design considerations for fast-settling operational amplifiers

The design considerations for fast-settling operational amplifiers (opamps) differ significantly between sampled-data switchedcapacitor (SC) and conventional continuous-time applications. In SC circuits, the shape of the output voltage waveform of an opamp is of no consequence provided that the output settles to within a specified tolerance of its steady-state value prior to the next sampling instant. This feature allows for an optimum opamp frequency shaping to obtain a minimum small-signal settling time. The theory applies to any opamp that is well-approximated by a two-pole model, including the conventional two-stage and single-stage folded-cascode topologies. As the commonly-used equivalent-circuit Miller-effect model for frequency compensation has generally been improperly applied to two-stage transconductance amplifiers, it does not provide sufficient accuracy to achieve the optimum phase margin condition. Therefore, the use of equivalent-circuit models has been refined to provide greater accuracy and to eliminate some previous misconceptions

Design Techniques for High Speed Low Voltage and Low Power Non-Calibrated Pipeline Analog to Digital Converters

The profound digitization of modern microelectronic modules made Analog-to- Digital converters (ADC) key components in many systems. With resolutions up to 14bits and sampling rates in the 100s of MHz, the pipeline ADC is a prime candidate for a wide range of applications such as instrumentation, communications and consumer electronics. However, while past work focused on enhancing the performance of the pipeline ADC from an architectural standpoint, little has been done to individually address its fundamental building blocks. This work aims to achieve the latter by proposing design techniques to improve the performance of these blocks with minimal power consumption in low voltage environments, such that collectively high performance is achieved in the pipeline ADC. Towards this goal, a Recycling Folded Cascode (RFC) amplifier is proposed as an enhancement to the general performance of the conventional folded cascode. Tested in Taiwan Semiconductor Manufacturing Company (TSMC) 0.18?m Complementary Metal Oxide Semiconductor (CMOS) technology, the RFC provides twice the bandwidth, 8-10dB additional gain, more than twice the slew rate and improved noise performance over the conventional folded cascode-all at no additional power or silicon area. The direct auto-zeroing offset cancellation scheme is optimized for low voltage environments using a dual level common mode feedback (CMFB) circuit, and amplifier differential offsets up to 50mV are effectively cancelled. Together with the RFC, the dual level CMFB was used to implement a sample and hold amplifier driving a singleended load of 1.4pF and using only 2.6mA; at 200MS/s better than 9bit linearity is achieved. Finally a power conscious technique is proposed to reduce the kickback noise of dynamic comparators without resorting to the use of pre-amplifiers. When all techniques are collectively used to implement a 1Vpp 10bit 160MS/s pipeline ADC in Semiconductor Manufacturing International Corporation (SMIC) 0.18[mu]m CMOS, 9.2 effective number of bits (ENOB) is achieved with a near Nyquist-rate full scale signal. The ADC uses an area of 1.1mm2 and consumes 42mW in its analog core. Compared to recent state-of-the-art implementations in the 100-200MS/s range, the presented pipeline ADC uses the least power per conversion rated at 0.45pJ/conversion-step

Disseny microelectrnic de circuits discriminadors de polsos pel detector LHCb

The aim of this thesis is to present a solution for implementing the front end system of the Scintillator Pad Detector (SPD) of the calorimeter system of the LHCb experiment that will start in 2008 at the Large Hadron Collider (LHC) at CERN. The requirements of this specific system are discussed and an integrated solution is presented, both at system and circuit level. We also report some methodological achievements. In first place, a method to study the PSRR (and any transfer function) in fully differential circuits taking into account the effect of parameter mismatch is proposed. Concerning noise analysis, a method to study time variant circuits in the frequency domain is presented and justified. This would open the possibility to study the effect of 1/f noise in time variants circuits. In addition, it will be shown that the architecture developed for this system is a general solution for front ends in high luminosity experiments that must be operated with no dead time and must be robust against ballistic deficit

Design Techniques for High Speed Low Voltage and Low Power Non-Calibrated Pipeline Analog to Digital Converters

The profound digitization of modern microelectronic modules made Analog-to- Digital converters (ADC) key components in many systems. With resolutions up to 14bits and sampling rates in the 100s of MHz, the pipeline ADC is a prime candidate for a wide range of applications such as instrumentation, communications and consumer electronics. However, while past work focused on enhancing the performance of the pipeline ADC from an architectural standpoint, little has been done to individually address its fundamental building blocks. This work aims to achieve the latter by proposing design techniques to improve the performance of these blocks with minimal power consumption in low voltage environments, such that collectively high performance is achieved in the pipeline ADC. Towards this goal, a Recycling Folded Cascode (RFC) amplifier is proposed as an enhancement to the general performance of the conventional folded cascode. Tested in Taiwan Semiconductor Manufacturing Company (TSMC) 0.18?m Complementary Metal Oxide Semiconductor (CMOS) technology, the RFC provides twice the bandwidth, 8-10dB additional gain, more than twice the slew rate and improved noise performance over the conventional folded cascode-all at no additional power or silicon area. The direct auto-zeroing offset cancellation scheme is optimized for low voltage environments using a dual level common mode feedback (CMFB) circuit, and amplifier differential offsets up to 50mV are effectively cancelled. Together with the RFC, the dual level CMFB was used to implement a sample and hold amplifier driving a singleended load of 1.4pF and using only 2.6mA; at 200MS/s better than 9bit linearity is achieved. Finally a power conscious technique is proposed to reduce the kickback noise of dynamic comparators without resorting to the use of pre-amplifiers. When all techniques are collectively used to implement a 1Vpp 10bit 160MS/s pipeline ADC in Semiconductor Manufacturing International Corporation (SMIC) 0.18[mu]m CMOS, 9.2 effective number of bits (ENOB) is achieved with a near Nyquist-rate full scale signal. The ADC uses an area of 1.1mm2 and consumes 42mW in its analog core. Compared to recent state-of-the-art implementations in the 100-200MS/s range, the presented pipeline ADC uses the least power per conversion rated at 0.45pJ/conversion-step