Alternative Methods for Non-Linearity Estimation in High-Resolution Analog-to-Digital Converters

The evaluation of the linearity performance of a high resolution Analog-to- Digital Converter (ADC) by the Standard Histogram method is an outstanding challenge due to the requirement of high purity of the input signal and the high number of output data that must be acquired to obtain an acceptable accuracy on the estimation. These requirements become major application drawbacks when the measures have to be performed multiple times within long test flows and for many parts, and under an industrial environment that seeks to reduce costs and lead times as is the case in the New Space sector. This thesis introduces two alternative methods that succeed in relaxing the two previous requirements for the estimation of the Integral Nonlinearity (INL) parameter in ADCs. The methods have been evaluated by estimating the Integral Non-Linearity pattern by simulation using realistic high-resolution ADC models and experimentally by applying them to real high performance ADCs. First, the challenge of applying the Standard Histogram method for the evaluation of static parameters in high resolution ADCs and how the drawbacks are accentuated in the New Space industry is analysed, being a highly expensive method for an industrial environment where cost and lead time reduction is demanded. Several alternative methods to the Standard Histogram for estimating Integral Nonlinearity in high resolution ADCs are reviewed and studied. As the number of existing works in the literature is very large and addressing all of them is a challenge in itself, only those most relevant to the development of this thesis have been included. Methods based on spectral processing to reduce the number of data acquired for the linearity test and methods based on a double histogram to be able to use generators that do not meet the the purity requirement against the ADC to be tested are further analysed. Two novel contributions are presented in this work for the estimation of the Integral Nonlinearity in ADCs, as possible alternatives to the Standard Histogram method. The first method, referred to as SSA (Simple Spectral Approach), seeks to reduce the number of output data that need to be acquired and focuses on INL estimation using an algorithm based on processing the spectrum of the output signal when a sinusoidal input stimulus is used. This type of approach requires a much smaller number of samples than the Standard Histogram method, although the estimation accuracy will depend on how smooth or abrupt the ADC nonlinearity pattern is. In general, this algorithm cannot be used to perform a calibration of the ADC nonlinearity error, but it can be applied to find out between which limits it lies and what its approximate shape is. The second method, named SDH (Simplified Double Histogram)aims to estimate the Non-Linearity of the ADC using a poor linearity generator. The approach uses two histograms constructed from the two set of output data in response to two identical input signals except for a dc offset between them. Using a simple adder model, an extended approach named ESDH (Extended Simplified Double Histogram) addresses and corrects for possible time drifts during the two data acquisitions, so that it can be successfully applied in a non-stationary test environment. According to the experimental results obtained, the proposed algorithm achieves high estimation accuracy. Both contributions have been successfully tested in high-resolution ADCs with both simulated and real laboratory experiments, the latter using a commercial ADC with 14-bit resolution and 65Msps sampling rate (AD6644 from Analog Devices).La medida de la característica de linealidad de un convertidor analógicodigital (ADC) de alta resolución mediante el método estándar del Histograma constituye un gran desafío debido los requisitos de alta pureza de la señal de entrada y del elevado número de datos de salida que deben adquirirse para obtener una precisión aceptable en la estimación. Estos requisitos encuentran importantes inconvenientes para su aplicación cuando las medidas deben realizarse dentro de largos flujos de pruebas, múltiples veces y en un gran número de piezas, y todo bajo un entorno industrial que busca reducir costes y plazos de entrega como es el caso del sector del Nuevo Espacio. Esta tesis introduce dos métodos alternativos que consiguen relajar los dos requisitos anteriores para la estimación de los parámetros de no linealidad en los ADCs. Los métodos se han evaluado estimando el patrón de No Linealidad Integral (INL) mediante simulación utilizando modelos realistas de ADC de alta resolución y experimentalmente aplicándolos en ADCs reales. Inicialmente se analiza el reto que supone la aplicación del método estándar del Histograma para la evaluación de los parámetros estáticos en ADCs de alta resolución y cómo sus inconvenientes se acentúan en la industria del Nuevo Espacio, siendo un método altamente costoso para un entorno industrial donde se exige la reducción de costes y plazos de entrega. Se estudian métodos alternativos al Histograma estándar para la estimación de la No Linealidad Integral en ADCs de alta resolución. Como el número de trabajos es muy amplio y abordarlos todos es ya en sí un desafío, se han incluido aquellos más relevantes para el desarrollo de esta tesis. Se analizan especialmente los métodos basados en el procesamiento espectral para reducir el número de datos que necesitan ser adquiridos y los métodos basados en un doble histograma para poder utilizar generadores que no cumplen el requisito de precisión frente al ADC a medir. En este trabajo se presentan dos novedosas aportaciones para la estimación de la No Linealidad Integral en ADCs, como posibles alternativas al método estándar del Histograma. El primer método, denominado SSA (Simple Spectral Approach), busca reducir el número de datos de salida que es necesario adquirir y se centra en la estimación de la INL mediante un algoritmo basado en el procesamiento del espectro de la señal de salida cuando se utiliza un estímulo de entrada sinusoidal. Este tipo de enfoque requiere un número mucho menor de muestras que el método estándar del Histograma, aunque la precisión de la estimación dependerá de lo suave o abrupto que sea el patrón de no-linealidad del ADC a medir. En general, este algoritmo no puede utilizarse para realizar una calibración del error de no linealidad del ADC, pero puede aplicarse para averiguar entre qué límites se encuentra y cuál es su forma aproximada. El segundo método, denominado SDH (Simplified Double Histogram) tiene como objetivo estimar la no linealidad del ADC utilizando un generador de baja pureza. El algoritmo utiliza dos histogramas, construidos a partir de dos conjuntos de datos de salida en respuesta a dos señales de entrada idénticas, excepto por un desplazamiento constante entre ellas. Utilizando un modelo simple de sumador, un enfoque ampliado denominado ESDH (Extended Simplified Double Histogram) aborda y corrige las posibles derivas temporales durante las dos adquisiciones de datos, de modo que puede aplicarse con éxito en un entorno de prueba no estacionario. De acuerdo con los resultados experimentales obtenidos, el algoritmo propuesto alcanza una alta precisión de estimación. Ambas contribuciones han sido probadas en ADCs de alta resolución con experimentos tanto simulados como reales en laboratorio, estos últimos utilizando un ADC comercial con una resolución de 14 bits y una tasa de muestreo de 65Msps (AD6644 de Analog Devices)

The design and implementation of a wideband digital radio receiver

Historically radio has been implemented using largely analogue circuitry. Improvements in mixed signal and digital signal processing technology are rapidly leading towards a largely digital approach, with down-conversion and filtering moving to the digital signal processing domain. Advantages of this technology include increased performance and functionality, as well as reduced cost. Wideband receivers place the heaviest demands on both mixed signal and digital signal processing technology, requiring high spurious free dynamic range (SFDR) and signal processing bandwidths. This dissertation investigates the extent to which current digital technology is able to meet these demands and compete with the proven architectures of analogue receivers. A scalable generalised digital radio receiver capable of operating in the HF and VHF bands was designed, implemented and tested, yielding instantaneous bandwidths in excess of 10 MHz with a spurious-free dynamic range exceeding 80 decibels below carrier (dBc). The results achieved reflect favourably on the digital receiver architecture. While the necessity for minimal analogue circuitry will possibly always exist, digital radio architectures are currently able to compete with analogue counterparts. The digital receiver is simple to manufacture, based on the use of largely commercial off-the-shelf (COTS) components, and exhibits extreme flexibility and high performance when compared with comparably priced analogue receivers

Error Compensation in Pipeline and Converters

This thesis provides an improved calibration and compensation scheme for pipeline Analog-to-Digital Converters (ADCs). This new scheme utilizes the intermediate stage outputs in a pipeline to characterize error mechanisms in the architecture. The goal of this compensation scheme is to increase the dynamic range of the ADC. The pipeline architecture is described in general, and tailored to the 1.5 bitslstage topology. Dominant error mechanisms are defined and characterized for an arbitrary stage in the pipeline. These error mechanisms are modeled with basis functions. The traditional calibration scheme is modified and used to iteratively calculate the error characteristics. The information from calibration is used to compensate the ADC. The calibration and compensation scheme is demonstrated both in simulation and using a custom hardware pipeline ADC. A 10-bit 5 MHz ADC was designed and fabricated in 0.5 pm CMOS to serve as the demonstration platform. The scheme was successful in showing improvements in dynamic range while using intermediate stage outputs to efficiently model errors in a pipeline stage. An application of the technique on the real converter showed an average of 8.6 dB improvement in SFDR in the full Nyquist band of the ADC. The average improvement in SINAD and ENOB are 3.2 dB and 0.53 bits respectively

100 Gbps Integrated Quantum Random Number Generator Based on Vacuum Fluctuations

Emerging communication and cryptography applications call for reliable, fast, unpredictable random number generators. Quantum random number generation (QRNG) allows for the creation of truly unpredictable numbers thanks to the inherent randomness available in quantum mechanics. A popular approach is using the quantum vacuum state to generate random numbers. While convenient, this approach was generally limited in speed compared to other schemes. Here, through custom co-design of opto-electronic integrated circuits and side-information reduction by digital filtering, we experimentally demonstrated an ultrafast generation rate of 100 Gbps, setting a new record for vacuum-based quantum random number generation by one order of magnitude. Furthermore, our experimental demonstrations are well supported by an upgraded device-dependent framework that is secure against both classical and quantum side-information and that also properly considers the non-linearity in the digitization process. This ultrafast secure random number generator in the chip-scale platform holds promise for next generation communication and cryptography applications

Design and debugging of multi-step analog to digital converters

With the fast advancement of CMOS fabrication technology, more and more signal-processing functions are implemented in the digital domain for a lower cost, lower power consumption, higher yield, and higher re-configurability. The trend of increasing integration level for integrated circuits has forced the A/D converter interface to reside on the same silicon in complex mixed-signal ICs containing mostly digital blocks for DSP and control. However, specifications of the converters in various applications emphasize high dynamic range and low spurious spectral performance. It is nontrivial to achieve this level of linearity in a monolithic environment where post-fabrication component trimming or calibration is cumbersome to implement for certain applications or/and for cost and manufacturability reasons. Additionally, as CMOS integrated circuits are accomplishing unprecedented integration levels, potential problems associated with device scaling – the short-channel effects – are also looming large as technology strides into the deep-submicron regime. The A/D conversion process involves sampling the applied analog input signal and quantizing it to its digital representation by comparing it to reference voltages before further signal processing in subsequent digital systems. Depending on how these functions are combined, different A/D converter architectures can be implemented with different requirements on each function. Practical realizations show the trend that to a first order, converter power is directly proportional to sampling rate. However, power dissipation required becomes nonlinear as the speed capabilities of a process technology are pushed to the limit. Pipeline and two-step/multi-step converters tend to be the most efficient at achieving a given resolution and sampling rate specification. This thesis is in a sense unique work as it covers the whole spectrum of design, test, debugging and calibration of multi-step A/D converters; it incorporates development of circuit techniques and algorithms to enhance the resolution and attainable sample rate of an A/D converter and to enhance testing and debugging potential to detect errors dynamically, to isolate and confine faults, and to recover and compensate for the errors continuously. The power proficiency for high resolution of multi-step converter by combining parallelism and calibration and exploiting low-voltage circuit techniques is demonstrated with a 1.8 V, 12-bit, 80 MS/s, 100 mW analog to-digital converter fabricated in five-metal layers 0.18-µm CMOS process. Lower power supply voltages significantly reduce noise margins and increase variations in process, device and design parameters. Consequently, it is steadily more difficult to control the fabrication process precisely enough to maintain uniformity. Microscopic particles present in the manufacturing environment and slight variations in the parameters of manufacturing steps can all lead to the geometrical and electrical properties of an IC to deviate from those generated at the end of the design process. Those defects can cause various types of malfunctioning, depending on the IC topology and the nature of the defect. To relive the burden placed on IC design and manufacturing originated with ever-increasing costs associated with testing and debugging of complex mixed-signal electronic systems, several circuit techniques and algorithms are developed and incorporated in proposed ATPG, DfT and BIST methodologies. Process variation cannot be solved by improving manufacturing tolerances; variability must be reduced by new device technology or managed by design in order for scaling to continue. Similarly, within-die performance variation also imposes new challenges for test methods. With the use of dedicated sensors, which exploit knowledge of the circuit structure and the specific defect mechanisms, the method described in this thesis facilitates early and fast identification of excessive process parameter variation effects. The expectation-maximization algorithm makes the estimation problem more tractable and also yields good estimates of the parameters for small sample sizes. To allow the test guidance with the information obtained through monitoring process variations implemented adjusted support vector machine classifier simultaneously minimize the empirical classification error and maximize the geometric margin. On a positive note, the use of digital enhancing calibration techniques reduces the need for expensive technologies with special fabrication steps. Indeed, the extra cost of digital processing is normally affordable as the use of submicron mixed signal technologies allows for efficient usage of silicon area even for relatively complex algorithms. Employed adaptive filtering algorithm for error estimation offers the small number of operations per iteration and does not require correlation function calculation nor matrix inversions. The presented foreground calibration algorithm does not need any dedicated test signal and does not require a part of the conversion time. It works continuously and with every signal applied to the A/D converter. The feasibility of the method for on-line and off-line debugging and calibration has been verified by experimental measurements from the silicon prototype fabricated in standard single poly, six metal 0.09-µm CMOS process

Differential temperature sensors: Review of applications in the test and characterization of circuits, usage and design methodology

Differential temperature sensors can be placed in integrated circuits to extract a signature ofthe power dissipated by the adjacent circuit blocks built in the same silicon die. This review paper firstdiscusses the singularity that differential temperature sensors provide with respect to other sensortopologies, with circuit monitoring being their main application. The paper focuses on the monitoringof radio-frequency analog circuits. The strategies to extract the power signature of the monitoredcircuit are reviewed, and a list of application examples in the domain of test and characterizationis provided. As a practical example, we elaborate the design methodology to conceive, step bystep, a differential temperature sensor to monitor the aging degradation in a class-A linear poweramplifier working in the 2.4 GHz Industrial Scientific Medical—ISM—band. It is discussed how,for this particular application, a sensor with a temperature resolution of 0.02 K and a high dynamicrange is required. A circuit solution for this objective is proposed, as well as recommendations for thedimensions and location of the devices that form the temperature sensor. The paper concludes with adescription of a simple procedure to monitor time variability.Postprint (published version