Digital Background Self-Calibration Technique for Compensating Transition Offsets in Reference-less Flash ADCs

This Dissertation focusses on proving that background calibration using adaptive algorithms are low-cost, stable and effective methods for obtaining high accuracy in flash A/D converters. An integrated reference-less 3-bit flash ADC circuit has been successfully designed and taped out in UMC 180 nm CMOS technology in order to prove the efficiency of our proposed background calibration. References for ADC transitions have been virtually implemented built-in in the comparators dynamic-latch topology by a controlled mismatch added to each comparator input front-end. An external very simple DAC block (calibration bank) allows control the quantity of mismatch added in each comparator front-end and, therefore, compensate the offset of its effective transition with respect to the nominal value. In order to assist to the estimation of the offset of the prototype comparators, an auxiliary A/D converter with higher resolution and lower conversion speed than the flash ADC is used: a 6-bit capacitive-DAC SAR type. Special care in synchronization of analogue sampling instant in both ADCs has been taken into account. In this thesis, a criterion to identify the optimum parameters of the flash ADC design with adaptive background calibration has been set. With this criterion, the best choice for dynamic latch architecture, calibration bank resolution and flash ADC resolution are selected. The performance of the calibration algorithm have been tested, providing great programmability to the digital processor that implements the algorithm, allowing to choose the algorithm limits, accuracy and quantization errors in the arithmetic. Further, systematic controlled offset can be forced in the comparators of the flash ADC in order to have a more exhaustive test of calibration

Bi-Linear Homogeneity Enforced Calibration for Pipelined ADCs

Pipelined analog-to-digital converters (ADCs) are key enablers in many state-of-the-art signal processing systems with high sampling rates. In addition to high sampling rates, such systems often demand a high linearity. To meet these challenging linearity requirements, ADC calibration techniques were heavily investigated throughout the past decades. One limitation in ADC calibration is the need for a precisely known test signal. In our previous work, we proposed the homogeneity enforced calibration (HEC) approach, which circumvents this need by consecutively feeding a test signal and a scaled version of it into the ADC. The calibration itself is performed using only the corresponding output samples, such that the test signal can remain unknown. On the downside, the HEC approach requires the option to accurately scale the test signal, impeding an on-chip implementation. In this work, we provide a thorough analysis of the HEC approach, including the effects of an inaccurately scaled test signal. Furthermore, the bi-linear homogeneity enforced calibration (BL-HEC) approach is introduced and suggested to account for an inaccurate scaling and, therefore, to facilitate an on-chip implementation. In addition, a comprehensive stability and convergence analysis of the BL-HEC approach is carried out. Finally, we verify our concept with simulations.Comment: 12 pages, 5 figure

Built-in self-test and self-calibration for analog and mixed signal circuits

Analog-to-digital converters (ADC) are one of the most important components in modern electronic systems. In the mission-critical applications such as automotive, the reliability of the ADC is critical as the ADC impacts the system level performance. Due to the aging effect and environmental changes, the performance of the ADC may degrade and even fail to meet the accuracy requirement over time. Built-in self-test (BIST) and self-calibration are becoming the ultimate solution to achieve lifetime reliability. This dissertation introduces two ADC testing algorithms and two ADC built-in self-test circuit implementations to test the ADC integral nonlinearity (INL) and differential nonlinearity (DNL) on-chip. In the first testing algorithm, the ultrafast stimulus error removal and segmented model identification of linearity errors (USER-SMILE) is developed for ADC built-in self-test, which eliminates the need for precision stimulus and reduces the overall test time. In this algorithm, the ADC is tested twice with a nonlinear ramp, instead of using a linear ramp signal. Therefore, the stimulus can be easily generated on-chip in a low-cost way. For the two ramps, there is a constant voltage shift in between. As the input stimulus linearity is completely relaxed, there is no requirement on the waveform of the input stimulus as long as it covers the ADC input range. In the meantime, the high-resolution ADC linearity is modeled with segmented parameters, which reduces the number of samples required for achieving high-precision test, thus saving the test time. As a result, the USER-SMILE algorithm is able to use less than 1 sample/code nonlinear stimulus to test high resolution ADCs with less than 0.5 least significant bit (LSB) INL estimation error, achieving more than 10-time test time reduction. This algorithm is validated with both board-level implementation and on-chip silicon implementation. The second testing algorithm is proposed to test the INL/DNL for multi-bit-per-stages pipelined ADCs with reduced test time and better test coverage. Due to the redundancy characteristics of multi-bit-per-stages pipelined ADC, the conventional histogram test cannot estimate and calibrate the static linearity accurately. The proposed method models the pipelined ADC nonlinearity as segmented parameters with inter-stage gain errors using the raw codes instead of the final output codes. During the test phase, a pure sine wave is sent to the ADC as the input and the model parameters are estimated from the output data with the system identification method. The modeled errors are then removed from the digital output codes during the calibration phase. A high-speed 12-bit pipelined ADC is tested and calibrated with the proposed method. With only 4000 samples, the 12-bit ADC is accurately tested and calibrated to achieve less than 1 LSB INL. The ADC effective number of bits (ENOB) is improved from 9.7 bits to 10.84 bits and the spurious-free dynamic range (SFDR) is improved by more than 20dB after calibration. In the first circuit implementation, a low-cost on-chip built-in self-test solution is developed using an R2R digital-to-analog converter (DAC) structure as the signal generator and the voltage shift generator for ADC linearity test. The proposed DAC is a subradix-2 R2R DAC with a constant voltage shift generation capability. The subradix-2 architecture avoids positive voltage gaps caused by mismatches, which relaxes the DAC matching requirements and reduces the design area. The R2R DAC based BIST circuit is fabricated in TSMC 40nm technology with a small area of 0.02mm^2. Measurement results show that the BIST circuit is capable of testing a 15-bit ADC INL accurately with less than 0.5 LSB INL estimation error. In the second circuit implementation, a complete SAR ADC built-in self-test solution using the USER-SMILE is developed and implemented in a 28nm automotive microcontroller. A low-cost 12-bit resistive DAC with less than 12-bit linearity is used as the signal generator to test and calibrate a SAR ADC with a target linearity of 12 bits. The voltage shift generation is created inside the ADC with capacitor switching. The entire algorithm processing unit for USER-SMILE algorithm is also implemented on chip. The final testing results are saved in the memory for further digital calibration. Both the total harmonic distortion (THD) and the SFDR are improved by 20dB after calibration, achieving -84.5dB and 86.5dB respectively. More than 700 parts are tested to verify the robustness of the BIST solution

Background Digital Calibration of Comparator Offsets in Pipeline ADCs

This brief presents a low-cost digital technique for background calibration of comparator offsets in pipeline analog-to-digital converters (ADCs). Thanks to calibration, comparator offset errors above half the stage least-significant bit margin in a unitary redundancy scheme are admissible, thus relaxing comparator design requirements and allowing their optimization for low-power high-speed applications and low input capacitance. The technique also makes it possible to relax design requirements of stage amplifiers within the pipeline queue, since output swing and driving capability are significantly lower. In this brief, the proposal is validated using realistic hardware-behavioral models.Junta de Andalucía P09-TIC-5386Gobierno Español TEC2011-2830

A Low-Power, Reconfigurable, Pipelined ADC with Automatic Adaptation for Implantable Bioimpedance Applications

Biomedical monitoring systems that observe various physiological parameters or electrochemical reactions typically cannot expect signals with fixed amplitude or frequency as signal properties can vary greatly even among similar biosignals. Furthermore, advancements in biomedical research have resulted in more elaborate biosignal monitoring schemes which allow the continuous acquisition of important patient information. Conventional ADCs with a fixed resolution and sampling rate are not able to adapt to signals with a wide range of variation. As a result, reconfigurable analog-to-digital converters (ADC) have become increasingly more attractive for implantable biosensor systems. These converters are able to change their operable resolution, sampling rate, or both in order convert changing signals with increased power efficiency. Traditionally, biomedical sensing applications were limited to low frequencies. Therefore, much of the research on ADCs for biomedical applications focused on minimizing power consumption with smaller bias currents resulting in low sampling rates. However, recently bioimpedance monitoring has become more popular because of its healthcare possibilities. Bioimpedance monitoring involves injecting an AC current into a biosample and measuring the corresponding voltage drop. The frequency of the injected current greatly affects the amplitude and phase of the voltage drop as biological tissue is comprised of resistive and capacitive elements. For this reason, a full spectrum of measurements from 100 Hz to 10-100 MHz is required to gain a full understanding of the impedance. For this type of implantable biomedical application, the typical low power, low sampling rate analog-to-digital converter is insufficient. A different optimization of power and performance must be achieved. Since SAR ADC power consumption scales heavily with sampling rate, the converters that sample fast enough to be attractive for bioimpedance monitoring do not have a figure-of-merit that is comparable to the slower converters. Therefore, an auto-adapting, reconfigurable pipelined analog-to-digital converter is proposed. The converter can operate with either 8 or 10 bits of resolution and with a sampling rate of 0.1 or 20 MS/s. Additionally, the resolution and sampling rate are automatically determined by the converter itself based on the input signal. This way, power efficiency is increased for input signals of varying frequency and amplitude

A Simple Technique for Fast Digital Background Calibration of A/D Converters

A modification of the background digital calibration procedure for A/D converters by Li and Moon is proposed, based on a method to improve the speed of convergence and the accuracy of the calibration. The procedure exploits a colored random sequence in the calibration algorithm, and can be applied both for narrowband input signals and for baseband signals, with a slight penalty on the analog bandwidth of the converter. By improving the signal-to-calibration-noise ratio of the statistical estimation of the error parameters, our proposed technique can be employed either to improve linearity or to make the calibration procedure faster. A practical method to generate the random sequence with minimum overhead with respect to a simple PRBS is also presented. Simulations have been performed on a 14-bit pipeline A/D converter in which the first 4 stages have been calibrated, showing a 15 dB improvement in THD and SFDR for the same calibration time with respect to the original technique

Low power 9-bit 500 kS/s 2-stage cyclic ADC using OTA variable bias current

This paper presents a 9-bit, 2-stage cyclic analog to digital converter (ADC) with a variable bias current control circuitry to reduce its power dissipation. Each stage outputs a three-bit digital word and the circuit requires four subcycles to perform a whole conversion. Since the accuracy required is higher in the first stage and first subcycle and decreases in subsequent cycles, the bias current of each operational transconductance amplifier is regulated depending on the subcycle of the conversion process. The resolution and sampling frequency of the converter make it suitable to be integrated with 8-bit CMOS imagers with column-parallel ADC architectures. The ADC has been designed using a 1.2 V 110 nm CMOS technology and the circuit consumes 27.9 µW at a sampling rate of 500 kS/s. At this sampling rate and at a 32 kHz input frequency, the circuit achieves 56 dB of SNDR and 9 bit ENOB. The Figure of Merit is 109 fJ/step.This work has been partially funded by Spanish Ministerio de Ciencia e Innovación (MCI), Agencia Estatal de Investigación (AEI) and European Region Development Fund (ERDF/FEDER) under grant RTI2018-097088-B-C3

Accuracy enhancement techniques in low-voltage high-speed pipelined ADC design

Pipelined analog to digital converters (ADCs) are very important building blocks in many electronic systems such as high quality video systems, high performance digital communication systems and high speed data acquisition systems. The rapid development of these applications is driving the design of pipeline ADCs towards higher speed, higher dynamic range, lower power consumption and lower power supply voltage with the CMOS technology scaling. This trend poses great challenges to conventional pipelined ADC designs which rely on high-gain operational amplifiers (opamps) and well matched capacitors to achieve high accuracy. In this thesis, two novel accuracy improvement techniques to overcome the accuracy limit set by analog building blocks (opamps and capacitors) in the context of low-voltage and high-speed pipelined ADC design are presented. One is the time-shifted correlated double sampling (CDS) technique which addresses the finite opamp gain effect and the other is the radix-based background digital calibration technique which can take care of both finite opamp gain and capacitor mismatch. These methods are simple, easy to implement and power efficient. The effectiveness of the proposed techniques is demonstrated in simulation as well as in experiment. Two prototype ADCs have been designed and fabricated in 0.18μm CMOS technology as the experimental verification of the proposed techniques. The first ADC is a 1.8V 10-bit pipeline ADC which incorporated the time-shifted CDS technique to boost the effective gain of the amplifiers. Much better gain-bandwidth tradeoff in amplifier design is achieved with this gain boosting. Measurement results show total power consumption of 67mW at 1.8V when operating at 100MSPS. The SNR, SNDR and SFDR are 55dB, 54dB and 65dB respectively given a 1MHz input signal. The second one is a 0.9V 12-bit two-stage cyclic ADC which employed a novel correlation-based background calibration to enhance the linearity. The linearity limit set by the capacitor mismatches, finite opamp gain effects is exceeded. After calibration, the SFDR is improved by about 33dB and exceeds 80dB. The power consumption is 12mW from 0.9V supply when operating at 2MSPS