Relaxation Digital-to-Analog Converter with Radix-based Digital Correction

A Relaxation Digital-to-Analog Converter (ReDACs) with a novel, all-digital, radix-based digital correction technique for clock-indifferent linear operation is presented in this paper. The ReDAC architecture proposed in this paper does not require dedicated circuit for frequency tuning, and achieves linearity by digitally pre-processing the DAC input code by a Radix-based Digital Correction (RBDC) algorithm. The effectiveness of the proposed RBDC approach is demonstrated by transistor level simulations on a 10-bit, 1.7MS/s ReDAC in 180nm CMOS. Thanks to the proposed RBDC, under a 16% deviation from the ideal clock period, the maximum INL of the ReDAC is improved from 79.4 to 1.01LSB, its maximum DNL is improved from 158.3 to 0.45LSB and its SNDR is increased from 22.2 (3.4 ENOB) to 58.5dB (9.4 ENOB), at the cost of an increased power consumption from 1.85μW to 9.15μW

Design and implementation of Radix-3/Radix-2 based novel hybrid SAR ADC in scaled CMOS technologies

This thesis focuses on low power and high speed design techniques for successive approximation register (SAR) analog-to-digital converters (ADCs) in nanoscale CMOS technologies. SAR ADCs’ speed is limited by the number of bits of resolution. An N-bit conventional SAR ADC takes N conversion cycles. To speed up the conversion process, we introduce a radix-3 SAR ADC which can compute 1:6 bits per cycle. To our knowledge, it is the first fully programmable and efficiently hardware controlled radix-3 SAR ADC. We had to use two comparators per cycle due to ADC architecture and we proposed a simple calibration scheme for the comparators. Also, as the architecture of the DAC array is completely different from the architecture of conventional radix-2 SAR ADC’s DAC arrays, we came up with an algorithm for calibration of capacitors of the DAC. Low power SAR ADCs face two major challenges especially at high resolutions: (1) increased comparator power to suppress the noise, and (2) increased DAC switching energy due to the large DAC size. Due to our proposed architecture,the radix-3 SAR ADC uses two comparators per cycle and two differential DACs. To improve the comparator’s power efficiency, an efficient and low cost calibration technique has been introduced. It allows a low power and noisy comparator to achieve high signal-to-noise ratio (SNR). To improve the DAC switching energy, we introduced a radix-3/radix-2 based novel hybrid SAR ADC. We use two single ended DACs for radix-3 SAR ADC and these two single ended DACs can be used as one differential DAC for radix-2 SAR ADC. So, overall, we only have a single DAC as conventional radix- 2 SAR ADC. In addition, a monotonic switching technique is adopted for radix-2 search to reduce the DAC capacitor size and hence, to reduce switching power. It can reduce the total number of unit capacitors by four times. Our proposed hybrid SAR ADC can achieve less DAC energy compared to radix-3 and radix-2 SAR ADCs. Also, to utilize technology scaling, we used the minimum capacitor size allowed by thermal noise limitations. To achieve high resolution, we introduced calibration algorithm for the DAC array. As mentioned earlier, the radix-3 SAR ADC offers higher power than conventional radix-2 SAR ADC because of simultaneous use of two comparators. In the proposed hybrid SAR ADC, we will be using radix-3 search for first few MSB bits. So, the resolution required for radix-3 comparators are much larger than the LSB value of 10-bit ADC. By implementing calibration of comparators, we can use low power, high input referred offset and high speed comparators for radix-3 search. Radix-2 search will be used for rest of the bits and the resolution of the radix-2 comparator has to be less than the required LSB value. So, a high power, low input referred offset and high speed comparator is used for radix-2 search. Also, we introduced clock gating for comparators. So, radix-3 comparators will not toggle during radix-2 search and the radix-2 comparators will be inactive during radix-3 search. By using the aforementioned techniques, the overall comparator power is definitely less than a radix-3 SAR ADC and comparable to a conventional radix-2 SAR ADC. A prototype radix-3/radix-2 based hybrid SAR ADC with the proposed technique is designed and fabricated in 40nm CMOS technology. It achieves an SNDR of 56.9 dB and consumes only 0.38 mW power at 30MS/s, leading to a Walden figure of merit of 21.5 fJ/conv-step.Electrical and Computer Engineerin

Emerging Relaxation and DDPM D/A Converters: Overview and Perspectives

In this paper, two emerging, digital-intensive, matching-indifferent, bitstream digital-to-analog (D/A) conversion techniques proposed in the last years, namely: the Relaxation D/A Conversion (ReDAC) and the Dyadic Digital Pulse Modulation (DDPM)-based D/A conversion, are reviewed and compared. After the basic concepts are introduced, the main challenges and research achievements over the last years are summarized and the performance of different integrated circuit (IC), field-programmable gate array (FPGA) and microcontroller-based ReDACs and DDPM-DACs are discussed and compared, highlighting advantages and open research questions. Present applications of the two techniques in voltage and current mode A/D conversion, RF modulation, digitally controlled switching-mode power converters, and machine learning accelerators will be discussed, and future application perspectives will be outlined

Concepts for smart AD and DA converters

This thesis studies the `smart' concept for application to analog-to-digital and digital-to-analog converters. The smart concept aims at improving performance - in a wide sense - of AD/DA converters by adding on-chip intelligence to extract imperfections and to correct for them. As the smart concept can correct for certain imperfections, it can also enable the use of more efficient architectures, thus yielding an additional performance boost. Chapter 2 studies trends and expectations in converter design with respect to applications, circuit design and technology evolution. Problems and opportunities are identfied, and an overview of performance criteria is given. Chapter 3 introduces the smart concept that takes advantage of the expected opportunities (described in chapter 2) in order to solve the anticipated problems. Chapter 4 applies the smart concept to digital-to-analog converters. In the discussed example, the concept is applied to reduce the area of the analog core of a current-steering DAC. It is shown that a sub-binary variable-radix approach reduces the area of the current-source elements substantially (10x compared to state-of-the-art), while maintaining accuracy by a self-measurement and digital pre-correction scheme. Chapter 5 describes the chip implementation of the sub-binary variable-radix DAC and discusses the experimental results. The results confirm that the sub-binary variable-radix design can achieve the smallest published current-source-array area for the given accuracy (12bit). Chapter 6 applies the smart concept to analog-to-digital converters, with as main goal the improvement of the overall performance in terms of a widely used figure-of-merit. Open-loop circuitry and time interleaving are shown to be key to achieve high-speed low-power solutions. It is suggested to apply a smart approach to reduce the effect of the imperfections, unintentionally caused by these key factors. On high-level, a global picture of the smart solution is proposed that can solve the problems while still maintaining power-efficiency. Chapter 7 deals with the design of a 500MSps open-loop track-and-hold circuit. This circuit is used as a test case to demonstrate the proposed smart approaches. Experimental results are presented and compared against prior art. Though there are several limitations in the design and the measurement setup, the measured performance is comparable to existing state-of-the-art. Chapter 8 introduces the first calibration method that counteracts the accuracy issues of the open-loop track-and-hold. A description of the method is given, and the implementation of the detection algorithm and correction circuitry is discussed. The chapter concludes with experimental measurement results. Chapter 9 introduces the second calibration method that targets the accuracy issues of time-interleaved circuits, in this case a 2-channel version of the implemented track-and-hold. The detection method, processing algorithm and correction circuitry are analyzed and their implementation is explained. Experimental results verify the usefulness of the method

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

Calibration of pipeline ADC with pruned Volterra kernels

A Volterra model is used to calibrate a pipeline ADC simulated in Cadence Virtuoso using the STMicroelectronics CMOS 45 nm process. The ADC was designed to work at 50 MSps, but it is simulated at up to 125 MSps, proving that calibration using a Volterra model can significantly increase sampling frequency. Equivalent number of bits (ENOB) improves by 1-2.5 bits (6-15 dB) with 37101 model parameters. The complexity of the calibration algorithm is reduced using different lengths for each Volterra kernels and performing iterative pruning. System identification is performed by least squares techniques with a set of sinusoids at different frequencies spanning the whole Nyquist band. A comparison with simplified Volterra models proposed in the literature shows better performance for the pruned Volterra model with comparable complexity, improving linearity by as much as 1.5 bits more than the other techniques

Time and statistical information utilization in high efficiency sub-micron CMOS successive approximation analog to digital converters

In an industrial and consumer electronic marketplace that is increasingly demanding greater real-world interactivity in portable and distributed devices, analog to digital converter efficiency and performance is being carefully examined. The successive approximation (SAR) analog to digital converter (ADC) architecture has become popular for its high efficiency at mid-speed and resolution requirements. This is due to the one core single bit quantizer, lack of residue amplification, and large digital domain processing allowing for easy process scaling. This work examines the traditional binary capacitive SAR ADC time and statistical information and proposes new structures that optimize ADC performance. The Ternary SAR (TSAR) uses the quantizer delay information to enhance accuracy, speed and power consumption of the overall SAR while providing multi-level redundancy. The early reset merged capacitor switching SAR (EMCS) identifies lost information in the SAR subtraction and optimizes a full binary quanitzer structure for a Ternary MCS DAC. Residue Shaping is demonstrated in SAR and pipeline configurations to allow for an extra bit of signal to noise quantization ratio (SQNR) due to multi-level redundancy. The feedback initialized ternary SAR (FITSAR) is proposed which splits a TSAR into separate binary and ternary sub-ADC structures for speed and power benefits with an inter-stage encoding that not only maintains residue shaping across the binary SAR, but allows for nearly optimally minimal energy consumption for capacitive ternary DACs. Finally, the ternary SAR ideas are applied to R2R DACs to reduce power consumption. These ideas are tested both in simulation and with prototype results

Analysis, modeling and design of Successive Approach Analog-Digital Converters (SARADCs) with Digital Redundancy

Universidad de Sevilla. Máster Universitario en Microelectrónica: Diseño y Aplicaciones de Sistemas Micro/Nanométrico