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 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

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

Implementation of a 200 MSps 12-bit SAR ADC

Analog-to-digital converters (ADCs) with high conversion frequency, often based on pipelined architectures, are used for measuring instruments, wireless communication and video applications. Successive approximation register (SAR) converters offer a compact and power efficient alternative but the conversion speed is typically designed for lower frequencies. In this thesis a low-power 12-bit 200 MSps SAR ADC based on charge redistribution was designed for a 28 nm CMOS technology. The proposed design uses an efficient SAR algorithm (merged capacitor switching procedure) to reduce power consumption due to capacitor charging by 88 % compared to a conventional design, as well as reducing the total capacitor area by half. Sampling switches were bootstrapped for increased linearity compared to simple transmission gates. Another feature of the low power design is a fully-dynamic comparator which does not require a preamplifier. Pre-layout simulations of the SAR ADC with 800 MHz input frequency shows an SNDR of 64.8 dB, corresponding to an ENOB of 10.5, and an SFDR of 75.3 dB. The total power consumption is 1.77 mW with an estimated value of 500 W for the unimplemented digital logic. Calculation of the Schreier figure-of-merit was done with an input signal at the Nyquist frequency. The simulated SNDR, SFDR and power equals 69.5 dB, 77.3 dB and 1.9 mW respectively, corresponding to a figure-of merit of 176.6 dB.Från analogt till digitalt - snabba och strömsnåla omvandlare Dagens digitala samhälle ställer höga krav på prestanda och effektivitet. I samarbete med Ericsson i Lund har en krets för signalomvandling utvecklats. Genom smart design uppnås hög hastighet och låg strömförbrukning som ligger i forskningens framkant. Från analogt till digitalt Ett viktigt byggblock för telekommunikation och videoapplikationer är så kallade A/D-omvandlare, som översätter mellan analoga signaler (till exempel ljud) och digitala signaler bestående av ettor och nollor. En väldigt effektiv metod för A/D-omvandling bygger på så kallad successiv approximation. Metoden innebär att signalen som ska omvandlas jämförs med en referensnivå, som stegvis justeras för att närma sig signalens värde. Till slut har man en tillräckligt god uppskattning av värdet som ska mätas. Just en sådan omvandlare har utvecklats med höga krav på hastighet och energiförbrukning. Detta gjordes genom datorsimuleringar av modeller som beskriver kretsen. Referensnivån skapas ofta genom att styra ett nätverk som lagrar elektrisk laddning. Omvandlingens noggrannhet, eller upplösning, beror på hur många nivåer som finns tillgängliga det vill säga hur nära signalens värde man kan komma. I den designade kretsen finns hela 4096 nivåer! Det finns många källor till osäkerhet i systemet, bland annat hur exakta referensnivåerna är och hur bra jämförelsen med insignalen kan göras. Eftersom dessa eventuellt kan leda till en försämring av omvandlingens noggrannhet måste alla delar i kretsen utformas med detta i åtanke. Höga hastigheter Eftersom det krävs många steg för referensnivån att närma sig signalens värde är den maximala omvandlingshastigheten ofta begränsad. Med teknikens utveckling öppnas nya möjligheter i takt med att mikrochippens enskilda komponenter blir snabbare. Modern forskning visar att omvandlare baserade på successiv approximation kan uppnå hastigheter på flera miljoner mätvärden varje sekund, vilket även den utvecklade kretsen klarar av. Effektiv design Nya metoder för successiv approximation möjliggör stora besparingar när det gäller effektförbrukning, till exempel genom att effektivisera upp- och urladdningen av nätverket. Genom små ändringar kunde nätverkets energiförbrukning minskas med över 90 % samtidigt som dess area halverades. Eftersom produktionskostnaden för integrerade kretsar är hög medför varje minskning av kretsens area att kostnaden sjunker

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 a low power switched-capacitor pipeline analog-to-digital converter

An Analog to Digital Converter (ADC) is a circuit which converts an analog signal into digital signal. Real world is analog, and the data processed by the computer or by other signal processing systems is digital. Therefore, the need for ADCs is obvious. In this thesis, several novel designs used to improve ADCs operation speed and reduce ADC power consumption are proposed. First, a high speed switched source follower (SSF) sample and hold amplifier without feedthrough penalty is implemented and simulated. The SSF sample and hold amplifier can achieve 6 Bit resolution with sampling rate at 10Gs/s. Second, a novel rail-to-rail time domain comparator used in successive approximation register ADC (SAR ADC) is implemented and simulated. The simulation results show that the proposed SAR ADC can only consume 1.3 muW with a 0.7 V power supply. Finally, a prototype pipeline ADC is implemented and fabricated in an IBM 90nm CMOS process. The proposed design is validated using measurement on a fabricated silicon IC, and the proposed 10-bit ADC achieves a peak signal-to-noise- and-distortion-ratio (SNDR) of 47 dB. This SNDR translates to a figure of merit (FOM) of 2.6N/conversion-step with a 1.2 V power supply

High speed – energy efficient successive approximation analog to digital converter using tri-level switching

This thesis reports issues and design methods used to achieve high-speed and high-resolution Successive Approximation Register analog to digital converters (SAR ADCs). A major drawback of this technique relates to the mismatch in the binary ratios of capacitors which causes nonlinearity. Another issue is the use of large capacitors due to nonlinear effect of parasitic capacitance. Nonlinear effect of capacitor mismatch is investigated in this thesis. Based on the analysis, a new Tri-level switching algorithm is proposed to reduce the matching requirement for capacitors in SAR ADCs. The integral non-linearity (INL) and the differential non-linearity (DNL) of the proposed scheme are reduced by factor of two over conventional SAR ADC, which is the lowest compared to the previously reported schemes. In addition, the switching energy of the proposed scheme is reduced by 98.02% compared with the conventional SAR architecture. A new correction method to solve metastability error of comparator based on a novel design approach is proposed which reduces the required settling time about 1.1τ for each conversion cycle. Based on the above proposed methods two SAR ADCs: an 8-bit SAR ADC with 50MS/sec sampling rate, and a 10-bit SAR split ADC with 70 MS/sec sampling rate have been designed in 0.18μm Silterra complementary metal oxide semiconductor (CMOS) technology process which works at 1.2V supply voltage and input voltage of 2.4Vp-p. The 8-bit ADC digitizes 25MHz input signal with 48.16dB signal to noise and distortion ratio (SNDR) and 52.41dB spurious free dynamic range (SFDR) while consuming about 589μW. The figure of merit (FOM) of this ADC is 56.65 fJ/conv-step. The post layout of the 10-bit ADC with 1MHz input frequency produces SNDR, SFDR and effective number of bits (ENOB) of 57.1dB, 64.05dB and 9.17Bit, respectively, while its DNL and INL are -0.9/+2.8 least significant bit (LSB) and -2.5/+2.7 LSB, respectively. The total power consumption, including digital, analog and reference power, is 1.6mW. The FOM is 71.75fJ/conv. step

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