Error modeling, self-calibration and design of pipelined analog to digital converters

Typescript (photocopy).As the field of signal processing accelerates toward the use of high performance digital techniques, there is a growing need for increasingly fast and accurate analog to digital converters. Three highly visible examples of this trend originated in the last decade. The advent of the compact disc revolutionized the way high-fidelity audio is stored, reproduced, recorded and processed. Digital communication links, fiber optic cables and in the near future ISDN networks (Integrated Services Digital Network) are steadily replacing major portions of telephone systems. Finally, video-conferencing, multi-media computing and currently emerging high definition television (HDTV) systems rely more and more on real-time digital data compression and image enhancing techniques. All these applications rely on analog to digital conversion. In the field of digital audio, the required conversion accuracy is high, but the conversion speed limited (16 bits, 2 x 20 kHz signal bandwidth). In the field of image processing, the required accuracy is less, but the data conversion speed high (8-10 bits, 5-20MHz bandwidth). New applications keep pushing for increasing conversion rates and simultaneously higher accuracies. This dissertation discusses new analog to digital converter architectures that could accomplish this. As a consequence of the trend towards digital processing, prominent analog designers throughout the world have engaged in very active research on the topic of data conversion. Unfortunately, literature has not always kept up. At the time of this writing, it seemed rather difficult to find detailed fundamental publications about analog to digital converter design. This dissertation represents a modest attempt to remedy this situation. It is hoped that anyone with a back-ground in analog design could go through this work and pick up the fundamentals of converter operation, as well as a number of more advanced design techniques

A 16-b 10Msample/s Split-Interleaved Analog to Digital Converter

This work describes the integrated circuit design of a 16-bit, 10Msample/sec, combination ‘split’ interleaved analog to digital converter. Time interleaving of analog to digital converters has been used successfully for many years as a technique to achieve faster speeds using multiple identical converters. However, efforts to achieve higher resolutions with this technique have been difficult due to the precise matching required of the converter channels. The most troublesome errors in these types of converters are gain, offset and timing differences between channels. The ‘split ADC’ is a new concept that allows the use of a deterministic, digital, self calibrating algorithm. In this approach, an ADC is split into two paths, producing two output codes from the same input sample. The difference of these two codes is used as the calibration signal for an LMS error estimation algorithm that drives the difference error to zero. The ADC is calibrated when the codes are equal and the output is taken as the average of the two codes. The ‘split’ ADC concept and interleaved architecture are combined in this IC design to form the core of a high speed, high resolution, and self-calibrating ADC system. The dual outputs are used to drive a digital calibration engine to correct for the channel mismatch errors. This system has the speed benefits of interleaving while maintaining high resolution. The hardware for the algorithm as well as the ADC can be implemented in a standard 0.25um CMOS process, resulting in a relatively inexpensive solution. This work is supported by grants from Analog Devices Incorporated (ADI) and the National Science Foundation (NSF)

Low-Power Slew-Rate Boosting Based 12-Bit Pipeline ADC Utilizing Forecasting Technique in the Sub-ADCS

The dissertation presents architecture and circuit solutions to improve the power efficiency of high-speed 12-bit pipelined ADCs in advanced CMOS technologies. First, the 4.5bit algorithmic pipelined front-end stage is proposed. It is shown that the algorithmic pipelined ADC requires a simpler sub-ADC and shows lower sensitivity to the Multiplying DAC (MDAC) errors and smaller area and power dissipation in comparison to the conventional multi-bit per stage pipelined ADC. Also, it is shown that the algorithmic pipelined architecture is more tolerant to capacitive mismatch for the same input-referred thermal noise than the conventional multi-bit per stage architecture. To take full advantage of these properties, a modified residue curve for the pipelined ADC is proposed. This concept introduces better linearity compared with the conventional residue curve of the pipelined ADC; this approach is particularly attractive for the digitization of signals with large peak to average ratio such as OFDM coded signals. Moreover, the minimum total required transconductance for the different architectures of the 12-bit pipelined ADC are computed. This helps the pipelined ADC designers to find the most power-efficient architecture between different topologies based on the same input-referred thermal noise. By employing this calculation, the most power efficient architecture for realizing the 12-bit pipelined ADC is selected. Then, a technique for slew-rate (SR) boosting in switched-capacitor circuits is proposed in the order to be utilized in the proposed 12-bit pipelined ADC. This technique makes use of a class-B auxiliary amplifier that generates a compensating current only when high slew-rate is demanded by large input signal. The proposed architecture employs simple circuitry to detect the need of injecting current at the output load by implementing a Pre-Amp followed by a class-B amplifier, embedded with a pre-defined hysteresis, in parallel with the main amplifier to boost its slew phase. The proposed solution requires small static power since it does not need high dc-current at the output stage of the main amplifier. The proposed technique is suitable for high-speed low-power multi-bit/stage pipelined ADC applications. Both transistor-level simulations and experimental results in TSMC 40nm technology reduces the slew-time for more than 45% and shorts the 1% settling time by 28% when used in a 4.5bit/stage pipelined ADC; power consumption increases by 20%. In addition, the technique of inactivating and disconnecting of the sub-ADC’s comparators by forecasting the sign of the sampled input voltage is proposed in the order to reduce the dynamic power consumption of the sub-ADCs in the proposed 12-bit pipelined ADC. This technique reduces the total dynamic power consumption more than 46%. The implemented 12-bit pipelined ADC achieves an SNDR/SFDR of 65.9/82.3 dB at low input frequencies and a 64.1/75.5 dB near Nyquist frequency while running at 500 MS/s. The pipelined ADC prototype occupies an active area of 0.9 mm^2 and consumes 18.16 mW from a 1.1 V supply, resulting in a figure of merit (FOM) of 22.4 and a 27.7 fJ/conversion-step at low-frequency and Nyquist frequency, respectively

Low-Power Slew-Rate Boosting Based 12-Bit Pipeline ADC Utilizing Forecasting Technique in the Sub-ADCS

The dissertation presents architecture and circuit solutions to improve the power efficiency of high-speed 12-bit pipelined ADCs in advanced CMOS technologies. First, the 4.5bit algorithmic pipelined front-end stage is proposed. It is shown that the algorithmic pipelined ADC requires a simpler sub-ADC and shows lower sensitivity to the Multiplying DAC (MDAC) errors and smaller area and power dissipation in comparison to the conventional multi-bit per stage pipelined ADC. Also, it is shown that the algorithmic pipelined architecture is more tolerant to capacitive mismatch for the same input-referred thermal noise than the conventional multi-bit per stage architecture. To take full advantage of these properties, a modified residue curve for the pipelined ADC is proposed. This concept introduces better linearity compared with the conventional residue curve of the pipelined ADC; this approach is particularly attractive for the digitization of signals with large peak to average ratio such as OFDM coded signals. Moreover, the minimum total required transconductance for the different architectures of the 12-bit pipelined ADC are computed. This helps the pipelined ADC designers to find the most power-efficient architecture between different topologies based on the same input-referred thermal noise. By employing this calculation, the most power efficient architecture for realizing the 12-bit pipelined ADC is selected. Then, a technique for slew-rate (SR) boosting in switched-capacitor circuits is proposed in the order to be utilized in the proposed 12-bit pipelined ADC. This technique makes use of a class-B auxiliary amplifier that generates a compensating current only when high slew-rate is demanded by large input signal. The proposed architecture employs simple circuitry to detect the need of injecting current at the output load by implementing a Pre-Amp followed by a class-B amplifier, embedded with a pre-defined hysteresis, in parallel with the main amplifier to boost its slew phase. The proposed solution requires small static power since it does not need high dc-current at the output stage of the main amplifier. The proposed technique is suitable for high-speed low-power multi-bit/stage pipelined ADC applications. Both transistor-level simulations and experimental results in TSMC 40nm technology reduces the slew-time for more than 45% and shorts the 1% settling time by 28% when used in a 4.5bit/stage pipelined ADC; power consumption increases by 20%. In addition, the technique of inactivating and disconnecting of the sub-ADC’s comparators by forecasting the sign of the sampled input voltage is proposed in the order to reduce the dynamic power consumption of the sub-ADCs in the proposed 12-bit pipelined ADC. This technique reduces the total dynamic power consumption more than 46%. The implemented 12-bit pipelined ADC achieves an SNDR/SFDR of 65.9/82.3 dB at low input frequencies and a 64.1/75.5 dB near Nyquist frequency while running at 500 MS/s. The pipelined ADC prototype occupies an active area of 0.9 mm^2 and consumes 18.16 mW from a 1.1 V supply, resulting in a figure of merit (FOM) of 22.4 and a 27.7 fJ/conversion-step at low-frequency and Nyquist frequency, respectively

Design Techniques for High-Performance SAR A/D Converters

The design of electronics needs to account for the non-ideal characteristics of the device technologies used to realize practical circuits. This is particularly important in mixed analog-digital design since the best device technologies are very different for digital compared to analog circuits. One solution for this problem is to use a calibration correction approach to remove the errors introduced by devices, but this adds complexity and power dissipation, as well as reducing operation speed, and so must be optimised. This thesis addresses such an approach to improve the performance of certain types of analog-to-digital converter (ADC) used in advanced telecommunications, where speed, accuracy and power dissipation currently limit applications. The thesis specifically focuses on the design of compensation circuits for use in successive approximation register (SAR) ADCs. ADCs are crucial building blocks in communication systems, in general, and for mobile networks, in particular. The recently launched fifth generation of mobile networks (5G) has required new ADC circuit techniques to meet the higher speed and lower power dissipation requirements for 5G technology. The SAR has become one of the most favoured architectures for designing high-performance ADCs, but the successive nature of the circuit operation makes it difficult to reach ∼GS/s sampling rates at reasonable power consumption. Here, two calibration techniques for high-performance SAR ADCs are presented. The first uses an on-chip stochastic-based mismatch calibration technique that is able to accurately compute and compensate for the mismatch of a capacitive DAC in a SAR ADC. The stochastic nature of the proposed calibration method enables determination of the mismatch of the CAPDAC with a resolution much better than that of the DAC. This allows the unit capacitor to scale down to as low as 280aF for a 9-bit DAC. Since the CAP-DAC causes a large part of the overall dynamic power consumption and directly determines both the sizes of the driving and sampling switches and the size of the input capacitive load of the ADC and the kT/C noise power, a small CAP-DAC helps the power efficiency. To validate the proposed calibration idea, a 10-bit asynchronous SAR ADC was fabricated in 28-nm CMOS. Measurement results show that the proposed stochastic calibration improves the ADC’s SFDR and SNDR by 14.9 dB, 11.5 dB, respectively. After calibration, the fabricated SAR ADC achieves an ENOB of 9.14 bit at a sampling rate of 85 MS/s, resulting in a Walden FoM of 10.9 fJ/c-s. The second calibration technique is a timing-skew calibration for a time-interleaved (TI) SAR ADC that calibrates/computes the inter-channel timing and offset mismatch simultaneously. Simulation results show the effectiveness of this calibration method. When used together, the proposed mismatch calibration technique and the timing-skew calibration technique enables a TI SAR ADC to be designed that can achieve a sampling rate of ∼GS/s with 10-bit resolution and a power consumption as low as ∼10mW; specifications that satisfy the requirements of 5G technology

Low power VCO-based analog-to-digital conversion

textThis dissertation presents novel two stage ADC architecture with a VCO based second stage. With the scaling of the supply voltages in modern CMOS process it is difficult to design high gain operational amplifiers needed for traditional voltage domain two-stage analog to digital converters. However time resolution continues to improve with the advancement in CMOS technology making VCO-based ADC more attractive. The nonlinearity in voltage-to-frequency transfer function is the biggest challenge in design of VCO based ADC. The hybrid approach used in this work uses a voltage domain first stage to determine the most significant bits and uses a VCO based second stage to quantize the small residue obtained from first stage. The architecture relaxes the gain requirement on the the first stage opamp and also relaxes the linearity requirements on the second stage VCO. The prototype ADC built in 65nm CMOS process achieves 63.7dB SNDR in 10MHz bandwidth while only consuming 1.1mW of power. The performance of the prototype chip is comparable to the state-of-art in terms of figure-of-merit but this new architecture uses significantly less circuit area.Electrical and Computer Engineerin

All Digital, Background Calibration for Time-Interleaved and Successive Approximation Register Analog-to-Digital Converters

The growth of digital systems underscores the need to convert analog information to the digital domain at high speeds and with great accuracy. Analog-to-Digital Converter (ADC) calibration is often a limiting factor, requiring longer calibration times to achieve higher accuracy. The goal of this dissertation is to perform a fully digital background calibration using an arbitrary input signal for A/D converters. The work presented here adapts the cyclic Split-ADC calibration method to the time interleaved (TI) and successive approximation register (SAR) architectures. The TI architecture has three types of linear mismatch errors: offset, gain and aperture time delay. By correcting all three mismatch errors in the digital domain, each converter is capable of operating at the fastest speed allowed by the process technology. The total number of correction parameters required for calibration is dependent on the interleaving ratio, M. To adapt the Split-ADC method to a TI system, 2M+1 half-sized converters are required to estimate 3(2M+1) correction parameters. This thesis presents a 4:1 Split-TI converter that achieves full convergence in less than 400,000 samples. The SAR architecture employs a binary weight capacitor array to convert analog inputs into digital output codes. Mismatch in the capacitor weights results in non-linear distortion error. By adding redundant bits and dividing the array into individual unit capacitors, the Split-SAR method can estimate the mismatch and correct the digital output code. The results from this work show a reduction in the non-linear distortion with the ability to converge in less than 750,000 samples

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