Low-power high-speed ADC design techniques in scaled CMOS process

The power consumption of a single-channel successive approximation register (SAR) analog-to-digital (ADC) tends to linearly increase with its sampling rate (f[subscript s]), when f[subscript s] is small. However, when f[subscript s] passes a certain point for a given technology node, the ADC power P increases at much higher rate and the normalized power efficiency (P/f[subscript s]) starts to degrade rapidly. To enhance the conversion speed of SAR ADC, while maintaining a good power efficiency, this thesis presents speed-enhancing techniques for SAR ADC in nano-scale CMOS technologies. First chapter presents a 2b/cycle hybrid SAR architecture with only 1 differential capacitor-DAC (CDAC). Unlike prior multi-bit/cycle SAR works that make use of only the DAC differential mode (DM) voltage, the proposed architecture exploits both the DM and the common mode (CM). By using two degrees of freedom, 2b/cycle conversion technique can boost the f[subscript s] of the ADC without any additional DAC arrays. High-speed ADCs can boost the conversion speed not only by increasing the f[subscript s] of a single-channel ADC, but also by time-interleaving multiple ADC sub-channels running at a lower rate. For an N-channel time-interleaved (TI) SAR ADC operating at f[subscript s], each sub-SAR channel only needs to operate at f[subscript s]=N. Therefore, each sub-SAR can operate in the linear power versus speed region, leading to a significant power saving compared to a single-channel ADC running at the same sampling rate. Despite of its power efficiency, TI-ADC suffers from mismatches among sub-ADC channels, including gain, offset, and timing mismatches. Among them, timing skew is one of the most difficult errors to calibrate as it is nontrivial to extract and its induced error depends on both the frequency and the amplitude of the input signal. Second chapter of this thesis presents a TI-SAR with a fast variance-based timing-skew calibration technique. It uses a single-comparator based window detector (WD) to calibrate the timing skew. The WD suppresses variance estimation errors and allow precise variance estimation from a significantly small number of samples. It has low-hardware cost and orders of magnitude faster convergence speed compared to prior variance-based timing-skew calibration technique. The last chapter presents another TI-SAR with mean absolute deviation (MAD) based timing-skew calibration technique. In addition to all the advantages presented with the fast variance-based timing-skew calibration technique, the proposed technique further reduces the digital computation power by 50% by eliminating the squaring operations, which are essential in variance-based calibration techniqueElectrical and Computer Engineerin

Design of Energy-Efficient A/D Converters with Partial Embedded Equalization for High-Speed Wireline Receiver Applications

As the data rates of wireline communication links increases, channel impairments such as skin effect, dielectric loss, fiber dispersion, reflections and cross-talk become more pronounced. This warrants more interest in analog-to-digital converter (ADC)-based serial link receivers, as they allow for more complex and flexible back-end digital signal processing (DSP) relative to binary or mixed-signal receivers. Utilizing this back-end DSP allows for complex digital equalization and more bandwidth-efficient modulation schemes, while also displaying reduced process/voltage/temperature (PVT) sensitivity. Furthermore, these architectures offer straightforward design translation and can directly leverage the area and power scaling offered by new CMOS technology nodes. However, the power consumption of the ADC front-end and subsequent digital signal processing is a major issue. Embedding partial equalization inside the front-end ADC can potentially result in lowering the complexity of back-end DSP and/or decreasing the ADC resolution requirement, which results in a more energy-effcient receiver. This dissertation presents efficient implementations for multi-GS/s time-interleaved ADCs with partial embedded equalization. First prototype details a 6b 1.6GS/s ADC with a novel embedded redundant-cycle 1-tap DFE structure in 90nm CMOS. The other two prototypes explain more complex 6b 10GS/s ADCs with efficiently embedded feed-forward equalization (FFE) and decision feedback equalization (DFE) in 65nm CMOS. Leveraging a time-interleaved successive approximation ADC architecture, new structures for embedded DFE and FFE are proposed with low power/area overhead. Measurement results over FR4 channels verify the effectiveness of proposed embedded equalization schemes. The comparison of fabricated prototypes against state-of-the-art general-purpose ADCs at similar speed/resolution range shows comparable performances, while the proposed architectures include embedded equalization as well

Design techniques for low-power SAR ADCs in nano-scale CMOS technologies

This thesis presents low power design techniques for successive approximation register (SAR) analog-to-digital converters (ADCs) in nano-scale CMOS technologies. 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. To improve the comparator’s power efficiency, a statistical estimation based comparator noise reduction technique is presented. It allows a low power and noisy comparator to achieve high signal-to-noise ratio (SNR) by estimating the conversion residue. A first prototype ADC in 65nm CMOS has been developed to validate the proposed noise reduction technique. It achieves 4.5 fJ/conv-step Walden figure of merit and 64.5 dB signal-to-noise and distortion ratio (SNDR). In addition, a bidirectional single-side switching technique is developed to reduce the DAC switching power. It can reduce the DAC switching power and the total number of unit capacitors by 86% and 75%, respectively. A second prototype ADC with the proposed switching technique is designed and fabricated in 180nm CMOS technology. It achieves an SNDR of 63.4 dB and consumes only 24 Wat 1MS/s, leading to aWalden figure of merit of 19.9 fJ/conv-step. This thesis also presents an improved loop-unrolled SAR ADC, which works at high frequency with reduced SAR logic power and delay. It employs the bidirectional single-side switching technique to reduce the comparator common-mode voltage variation. In addition, it uses a Vcm-adaptive offset calibration technique which can accurately calibrate comparator’s offset at its operating Vcm. A prototype ADC designed in 40nm CMOS achieves 35 dB at 700 MS/s sampling rate and consumes only 0.95 mW, leading to a Walden figure of merit of 30 fJ/conv-step.Electrical and Computer Engineerin

Design of High-Speed Power-Efficient A/D Converters for Wireline ADC-Based Receiver Applications

Serial input/output (I/O) data rates are increasing in order to support the explosion in network traffic driven by big data applications such as the Internet of Things (IoT), cloud computing and etc. As the high-speed data symbol times shrink, this results in an increased amount of inter-symbol interference (ISI) for transmission over both severe low-pass electrical channels and dispersive optical channels. This necessitates increased equalization complexity and consideration of advanced modulation schemes, such as four-level pulse amplitude modulation (PAM-4). Serial links which utilize an analog-to-digital converter (ADC) receiver front-end offer a potential solution, as they enable more powerful and flexible digital signal processing (DSP) for equalization and symbol detection and can easily support advanced modulation schemes. Moreover, the DSP back-end provides robustness to process, voltage, and temperature (PVT) variations, benefits from improved area and power with CMOS technology scaling and offers easy design transfer between different technology nodes and thus improved time-to-market. However, ADC-based receivers generally consume higher power relative to their mixed-signal counterparts because of the significant power consumed by conventional multi-GS/s ADC implementations. This motivates exploration of energy-efficient ADC designs with moderate resolution and very high sampling rates to support data rates at or above 50Gb/s. This dissertation presents two power-efficient designs of ≥25GS/s time-interleaved ADCs for ADC-based wireline receivers. The first prototype includes the implementation of a 6b 25GS/s time-interleaved multi-bit search ADC in 65nm CMOS with a soft-decision selection algorithm that provides redundancy for relaxed track-and-hold (T/H) settling and improved metastability tolerance, achieving a figure-of-merit (FoM) of 143fJ/conversion step and 1.76pJ/bit for a PAM-4 receiver design. The second prototype features the design of a 52Gb/s PAM-4 ADC-based receiver in 65nm CMOS, where the front-end consists of a 4-stage continuous-time linear equalizer (CTLE)/variable gain amplifier (VGA) and a 6b 26GS/s time-interleaved SAR ADC with a comparator-assisted 2b/stage structure for reduced digital-to-analog converter (DAC) complexity and a 3-tap embedded feed-forward equalizer (FFE) for relaxed ADC resolution requirement. The receiver front-end achieves an efficiency of 4.53bJ/bit, while compensating for up to 31dB loss with DSP and no transmitter (TX) equalization

Design techniques for low-power multi-GS/s analog-to-digital converters

Ultra-high-speed (>10GS/s), medium-resolution (5~6bit), low-power (<50mW) analog-to-digital converter can find it application in the areas of digital oscilloscopes and next-generation serial link receivers. There are several challenges to enable a successful design, however. First, the time-interleaved architecture is required in order to achieve over 10GS/s sampling rate, with the trade-off of the number of the channels and the sampling rate in each channel. Phase misalignment and channel mismatch must be considered too. Second, timing accuracy, especially dynamic jitter of sampling clock becomes a major concern at ultra-high frequency, and certain techniques must be taken to address it. Finally, to achieve low power consumption, Flash architecture is not suitable to serve as the sub-ADC, and a low-power sub-ADC that can work at relatively high speed need to be designed. A single channel, asynchronous successive approximation (SA) ADC with improved feedback delay has been fabricated in 40nm CMOS. Compared with a conventional SA structure that employs a single quantizer controlled by a digital feedback logic loop, the proposed SA-ADC employs multiple quantizers for each conversion bit, clocked by an asynchronous ripple clock that is generated after each quantization. Hence, the sampling rate of the 6-bit ADC is limited only by the six delays of the Capacitive-DAC settling and each comparator’s quantization delay, as the digital logic delay is eliminated. Measurement results of the 40nm-CMOS SA-ADC achieves peak SNDR of 32.9dB at 1GS/s and 30.5dB at 1.25GS/s, consuming 5.28mW and 6.08mW respectively, leading to FoM of 148fJ/conversion-step and 178fJ/conversion-step, in a core area less than 170µm by 85µm. Based on the previous work of sub-ADC, a 12-GS/s 5-b 50-mW ADC is designed in 40nm CMOS with 8 time-interleaved channels of Flash-SA hybrid structure each running at 1.5GS/s. A modified bootstrapped switch is used in the track-and-hold circuit, introducing a global clock signal to synchronize the sampling instants of each individual channel, therefore improve the phase alignment and reduce distortion. The global clock is provided by a CML buffer which is injected by off-chip low-noise sine-wave signal, so that the RMS dynamic jitter is low for better ENOB performance. Measurement results show that the 12GS/s ADC can achieve a SNDR of 25.8dB with the input signal frequency around DC and 22.8dB around 2GHz, consuming 32.1mW, leading to FoM of 237.3fJ/conversion-step, in a core area less than 800µm by 500µm

Energy-efficient data converter design in scaled CMOS technology

Data converters bridge the physical and digital worlds. They have been the crucial building blocks in modern electronic systems, and are expected to have a growing significance in the booming era of Internet-of-Things (IoT) and 5G communications. The applications raise energy-efficiency requirements for both low-speed and high-speed converters since they are widely deployed in wireless sensor nodes and portable devices. To explore the solutions, the author worked on three directions: 1) techniques to improve the efficiency of the low-speed converters including the comparator; 2) techniques to develop high-speed data converters including the reference stabilization; 3) new architecture to improve the efficiency of the capacitance-to-digital converter (CDC). In the first part, a power-efficient 10-bit SAR ADC featured with a gain-boosted dynamic comparator is presented. In energy-constrained applications, the converter is usually supplied with low supply voltage (e.g., 0.3 V-0.5 V), which reduces the comparator pre-amplifier (pre-amp) gain and results in higher noise. A novel comparator topology with a dynamic common-gate stage is proposed to increase the pre-amplification gain, thereby reducing noise and offset. Besides, statistical estimation and loading switching techniques are combined to further improve energy efficiency. A 40-nm CMOS prototype achieves a Walden FoM of 1.5 fJ/conversion-step while operating at 100-kS/s from a 0.5-V supply. To further improve the energy-efficiency of the comparator, a novel dynamic pre-amp is proposed. By using an inverter-based input pair powered by a floating reservoir capacitor, the pre-amp realizes both current reuse and dynamic bias, thereby significantly boosting g [subscript m] /I [subscript D] and reducing noise. Moreover, it greatly reduces the influence of the input common-mode (CM) voltage on the comparator performance, including noise, offset, and delay. A prototype comparator in 180-nm achieves 46-μV input-referred noise while consuming only 1 pJ per comparison under 1.2-V supply, which represents greater than 7 times energy efficiency boost compared to that of a Strong-Arm (SA) latch. The second part of this dissertation focuses on high-speed data converter techniques. A 10-bit high-speed two-stage loop-unrolled SAR ADC is presented. To reduce the SAR logic delay and power, each bit uses a dedicated comparator to store its output and generate an asynchronous clock for the next comparison. To suppress the comparator offset mismatch induced non-linearity, a shared pre-amp are employed in the second fine stage, which is implemented by a dynamic latch to avoid static power consumption. The prototype ADC in 40-nm CMOS achieves 55-dB peak SNDR at 200-MS/s sampling rate without any calibration. A key limiting factor for the SAR ADC to simultaneously achieve high speed and high resolution is the reference ripple settling problem caused by DAC switching. Unlike prior techniques that aim to minimize the reference ripple which requires large reference buffer power or on-chip decoupling capacitance area, this work proposes a new perspective: it provides an extra path for the full-sized reference ripple to couple to the comparator but with an opposite polarity, so that the effect of the reference ripple is canceled out, thus ensuring an accurate conversion result. The prototype 10-bit 120-MS/s SAR ADC is fabricated in 40-nm CMOS process and achieves an SNDR of 55 dB with only 3 pF reference decoupling capacitor. Finally, this dissertation also presents the design of an incremental time-domain two-step CDC. Unlike the classic two-step CDC, this work replaces the OTA-based active-RC integrator with a VCO-based integrator and performs time domain (TD) ΔΣ modulation. The VCO is mostly digital and consumes low power. Featuring the infinite DC gain in phase domain and intrinsic spatial phase quantization, this TDΔΣ enables a CDC design, achieving 85-dB SQNR by having only a 4-bit quantizer, a 1st-order loop and a low OSR of 15. The prototype fabricated in 40-nm CMOS achieves a resolution of 0.29 fF while dissipating only 0.083 nJ per conversion, which improves the energy efficiency by greater than 2 times comparing to that of state-of-the-art CDCsElectrical and Computer Engineerin

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

Equalization Architectures for High Speed ADC-Based Serial I/O Receivers

The growth in worldwide network traffic due to the rise of cloud computing and wireless video consumption has required servers and routers to support increased serial I/O data rates over legacy channels with significant frequency-dependent attenuation. For these high-loss channel applications, ADC-based high-speed links are being considered due to their ability to enable powerful digital signal processing (DSP) algorithms for equalization and symbol detection. Relative to mixed-signal equalizers, digital implementations offer robustness to process, voltage and temperature (PVT) variations, are easier to reconfigure, and can leverage CMOS technology scaling in a straight-forward manner. Despite these advantages, ADC-based receivers are generally more complex and have higher power consumption relative to mixed-signal receivers. The ensuing digital equalization can also consume a significant amount of power which is comparable to the ADC contribution. Novel techniques to reduce complexity and improve power efficiency, both for the ADC and the subsequent digital equalization, are necessary. This dissertation presents efficient modeling and implementation approaches for ADC-based serial I/O receivers. A statistical modeling framework is developed, which is able to capture ADC related errors, including quantization noise, INL/DNL errors and time interleaving mismatch errors. A novel 10GS/s hybrid ADC-based receiver, which combines both embedded and digital equalization, is then presented. Leveraging a time-interleaved asynchronous successive approximation ADC architecture, a new structure for 3-tap embedded FFE inside the ADC with low power/area overhead is used. In addition, a dynamically-enabled digital 4-tap FFE + 3-tap DFE equalizer architecture is introduced, which uses reliable symbol detection to achieve remarkable savings in the digital equalization power. Measurement results over several FR4 channels verify the accuracy of the modeling approach and the effectiveness of the proposed receiver. The comparison of the fabricated prototype against state-of-the-art ADC-based receivers shows the ability of the proposed archi-tecture to compensate for the highest loss channel, while achieving the best power efficiency among other works