Data Converter Reflections: 19 Papers from the Last
`Ten Years That Deserve a Second Look
`
`David Robertson, Analog Devices Inc., Aaron Buchwald, Inphi Corp., Michael Flynn, University of Michigan, Hae-Seung Lee,
`Massachusetts Institute of Technology, Un-Ku Moon, Oregon State University, Boris Murmann, Stanford University
`
`of SAR implementations. Draxelmayr’s 2004 ISSCC paper [1]
`used a SAR structure as a building block for a high speed
`interleaved ADC. In contrast, previous implementations tended
`to interleave pipeline structures [12]. At only 6 bits of
`resolution, the emphasis was not on SNR, but on speed and low
`power, so a different set of design trade-offs were exercised.
`Within a few years, a number of interesting papers surfaced,
`exploring new dimensions in SAR design.
`The Chen [2] circuit is still in the low resolution (6 bit)
`
`high-speed performance region, but takes a very different
`approach to the conversion time of a SAR. Conventionally,
`SAR ADCs complete their n-bit conversions though equally
`spaced clock steps—with a clock period set by the worst-case
`settling/resolution
`time
`required.
` Chen
`created
`an
`asynchronous “self-timed” scheme
`that more efficiently
`allocated
`the nanoseconds across
`the decision series.
`Furthermore, the asynchronous operation avoided the necessity
`to generate and route the high speed SAR clock across the
`chip, offering additional power savings.
`Ginsburg [3] was first to recognize that the switching
`
`
`Ginsburg [3] was first to recognize that the switchinggg g
`
`power capacitor array DAC is a major component of the power
`
`
`capacitor array DAC p y
`
`
`is a majorj
`
`
`
`componenttt of the power p pp
`power p
`consumption, and proposed a more energy efficient switching
`
`consumption, and proposed a more energy efficient switchingp
`scheme. They realized that the energy consumption is much
`scheme.
`greater when the present bit decision is “0” (down transition)
`compared with “1” (up transition). This is because in a SAR
`ADC, each bit being tested is set to 1, thus the down transition
`requires setting the present bit back to “0’, and the next bit to
`“1” to test the next bit. This requires 5 times greater charge
`(thus energy) drawn from the reference than the up transition,
`in which the present bit stays at “1” and only the next bit is
`switched to “1’. Their solution was to split each bit capacitor
`into two halves. This allowed the down transition to be made
`merely by setting one half of the present bit from “1” to “0”
`
`grgrg
`
`Abstract—The authors discuss several papers that have been
`presented over the last decade that are worth additional
`consideration by readers interested in data converter circuits.
`The papers have been selected for different reasons: some have
`become trend-setters, others present particularly interesting
`ideas that may yet set future trends.
`
`Keywords—data converters, interleaved converters, successive
`approximation converters
`
`INTRODUCTION
`I.
`This survey paper reflects upon influential “contemporary”
`data converter papers - those presented in the last 10 years.
`This time frame allows us the benefit of a couple of years of
`hindsight, but keeps us out of the “ancient history” domain.
`Nomination and selection
`is based on either
`impact
`(representing or even triggering an important trend) or interest
`(having the potential for future impact—perhaps something
`that has been overlooked to date.) The authors will make no
`claim that our list is definitive: these are certainly not the
`ONLY converter papers from the last decade worth a second
`read—but we will explain why we think these papers are
`worthy of re-examination.
`Note that in many cases, a great paper presented at a
`conference is invited for resubmission in greater detail in the
`Journal of Solid-State Circuits. In several cases, we use the
`journal article as our reference, though the debut was actually a
`conference paper. For the sake of simplicity, only the name of
`the first author is quoted here for multiple author papers.
`
`II. A “SUCCESSIVE APPROXIMATION” RENAISSANCE
`Simplicity and elegance in design can sometimes be taken
`for granted, and must be periodically rediscovered. In many
`cases, a new set of design advantages may be exploited based
`p
`on the characteristics of modern technology. The successive
`gy
`The successive
`approximation structure (or SAR for short) has always
`
`
`approximation structure pppp
`
`
`(or SAR for short) has always(( )) yy
`
`
`
`
`represented a certain algorithmic optimum, but the structure
`
`represented a certain algorithmic optimum, but the structurep g p
`
`
`provides some elegant answers to the challenges of deep
`provides some elegant answers to the
` challenges offf deep
`micron CMOS, including its ability to be implemented without
`
`micron CMOS, including itts ability to be implemented without t
`amplifiers.
`amplifiers.
`For our first citation, we will violate our own criteria and
`point to a paper more than 10 years old, but still reasonably
`contemporary, and representing a leading edge of a new breed
`
`978-1-5090-2972-3/15/$31.00 ©2016 IEEE
`
`161
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`IPR2021-00294
`Xilinx, Inc. v. Analog Devices, Inc.
`Analog 2007
`
`

`

`
`Other hybrid structures are explored by Hurrell [9] and Lee y p y
`
`
`Other hybrid structures are explored by Hurrell [9] and Lee
`
`[10]. In both cases, residue amplification is employed to helpp p y p
`
`
`[10]. In both cases, residue amplification is employed to help
`
`realize higher resolution while maintaining speed.g g p
`
`
`
`Merging g g
`realize higher resolution while maintaining speed. Merging
`
`
`
`SAR and pipeline in a SARp p R-assisted pipp p
`eline combines
`SAR and pipeline in a SAR-assisted pipeline combines
`
`advantages of both architegg
`ctures. The SARRR sub
`
`-ADCs are very y
`advantages of both architectures. The SAR sub-ADCs are very
`efficient
`
`compared to flash converters often used in pipelines.p p p
`
`efficient compared to flash converters often used in pipelines.
`
`Furthermore, taking relatively high resolution g y g
`
`
`
`
`
`(~6 bits) first( ) tt
`Furthermore, taking relatively high resolution (~6 bits) first
`
`stage and second stage subg g
`
`-ADCs
`
`helpsp
`
`the pipeline. p p
`stage and second stage sub-ADCs helps
`the pipeline.
`Co
`
`pared top
`
`
`
`
`conventional pipelinesp p , hybrid pipeline SARsy p p
`
`Compared to conventional pipelines, hybrid pipeline SARs
`
`only need a singley g
`
`
`inter-stageg
`
`
`amplifier. Using a SAR for thepp g
`
`only need a single inter-stage amplifier. Using a SAR for the
`
`first stage alsog
`
`eliminates timingg
`mismatch between the first
`first stage also eliminates timing mismatch between the first
`stage sub
`
`-ADC and MDAC sampling.
`stage sub-ADC and MDAC sampling.
` Chae combined a SAR first stage with a Delta-Sigma back
`end to realize a very high resolution ADC (20 bits) whose
`ultimate accuracy behaves like a Delta Sigma: the front end
`SAR converter allows the back end to quickly “zoom in” to the
`appropriate range.[11]. The authors have dubbed this a Zoom-
`ADC.
`
`gm
`
`III.
`INTERLEAVING FOR SPEED
`Just as SAR structures have been a key to breakthroughs in
`power efficiency, interleaving has been the key to pushing the
`frontiers of sampling rate. Of course, this technique was well
`established by Poulton [12] and others long before our “last 10
`year” reference period. Part of what has been remarkable over
`the last 10 years is the pervasiveness of interleaving, and its
`applications across resolutions and speeds. In fact, it is worth
`noting that most of the papers we have already discussed ([1],
`[2], [3], [5]) also utilized a degree of interleaving, from simple
`2-way (or ping-pong), to “lightly interleaved” (8 way or less)
`to highly interleaved (more than 8-way). We also see the
`pattern that interleaving SARs can provide an effective way of
`realizing a combination of speed and power efficiency that has
`challenged pipelined implementations in many situations.
`For an indication of just what can be done with an
`interleaved SAR structure, we offer Kull [13], notable for
`pushing the interleaved SAR with mid-resolution (8 bit) up to
`90 GS/s. One of the key issues for these very highly
`interleaved structures is how the analog input network is
`driven, where, when, and how the sampling is done, and how
`timing is aligned between the different paths. Many of the
`SAR techniques discussed so far are exploited in [13],
`including asynchronous clocking. This paper also features a
`dual-comparator implementation of their SAR sub-ADC:
`essentially another layer of interleaving within the SAR
`structure itself, used to boost speed.
`
`IV. MITIGATION OF DYNAMIC ERRORS
`Trim and calibration have been around for as long as we
`have been trying to implement converters with more than 8 bits
`of linearity. Over the last 20 years, we have been moving from
`correction of static errors to compensation of dynamic
`nonlinearities. Murmann [14] provided one of the important
`benchmarks here. Over the last 10 years there has been a great
`many papers featuring “digitally assisted analog” techniques,
`as well as numerous forums and sessions dedicated to this
`topic. With this in mind, we pick a few that offer a different
`twist.
`
`without requiring any other switching. Their scheme resulted in
`a 37% saving in switching energy on average. This paper
`triggered a flurry of research in alternative switching methods,
`eventually rendering the capacitor array DAC switching power
`virtually insignificant. This work also featured careful design
`to really push energy efficiency: establishing the tradition of
`SARs running away with the converter figure-of-merit (FOM)
`titles. Since a SAR ADC has relatively little “active” circuitry,
`power optimization often involves careful analysis of the way
`the charge is moving on the capacitors, and how the reference
`and analog input are loaded.
`
`Forrr data converters, concepts that are workable at low p
`For data converters, concepts that are workable at low
`
`resolution (6 bits or less) are not always amenable to higher ( ) y g
`
`
`
`resolution (6 bits or less) are not always amenable to higher
`resolutions where matching and SNR
`become important
`resolutions where matching and SNR become important
`concerns.
`concerns. However, in this case, the deep sub-micron CMOS
`SAR revival has also been important in the mid resolution
`space
`that had come
`to be dominated by pipelined
`architectures. Craninckx [4] showed
`that an all-passive
`approach could be taken to higher resolutions—again with
`striking results on power efficiency.
`
`At resolutions of 10 bits or more, power and performance p p
`
`At resolutions of 10 bits or more, power and performance
`trade-offs in SAR converters will often come down to the
`trade-offs in SAR converters will often come down to the
`implementation of the comparatorr. r
`implementation of the comparator. Harpe [5] lowered the
`effective comparator noise by several dB’s by allowing the
`comparator to retest the critical decision 5 times. Agnes used
`a different comparator topology that races two ramps to
`produce a “time domain comparator” that operates comfortably
`on a 1V supply [6]. Schinkel offered a different solution to the
`voltage headroom challenge by suggesting an entirely dynamic
`comparator topology (no tail current in the pre-amp) based on
`sense-amp structures.[7] these topologies can maintain good
`speed on low supply voltages across input common mode
`variation compared with stacked structures .
`To complete the “SAR tour”, we give you Kapusta [8],
`which took a relatively high speed SAR structure up to 14bits.
`One of the interesting aspects of Kapusta’s implementation is
`the first conversion step is actually a 5 bit flash—which might
`lead purists
`to disqualify
`it as a “true SAR”. The
`implementation does not require a residue amplifier, and
`realized a great power efficiency number for a 14 bit converter
`(where SNR certainly becomes a factor). The Kapusta paper is
`representative of a number of “hybrid SAR” approaches that
`have become common over the last decade: we have seen the
`appearance of “SAR-PIPEs”, “SAR-FLASHES”, and even
`“SAR-sigma-deltas”.
`
` 12 bit SAR assisted pipeline ADC [20]
`
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`

`Chai [15] proposed an intriguing modification to the typical
`pipeline architecture by splitting the amplifier into a coarse and
`fine path. This change extends the available settling time in
`each stage and may prove to be a valuable concept going
`forward. Essentially, this technique allows a pipeline stage to
`continue its settling beyond one clock cycle, much in the same
`way as this happens in a SAR ADC with redundancy, where
`the DAC also has time to settle over multiple clock cycles.
`We need to have at least one DAC paper on this tour, and
`dynamic calibration is a good theme to highlight when looking
`at DACs—even for ADC fans. In many ways, DAC dynamics
`can be more demanding than ADC dynamics, since the ADC
`must be linear in the discrete time domain, whereas DACs
`must be linear continuously; the spectrum analyzer is always
`watching. (It is worth noting that the same demands apply for
`the feedback DAC in a continuous time sigma delta ADC.)
`Van de Vel [16] went beyond shuffling to do a careful re-
`mapping of the DAC elements to optimize both static and
`dynamic errors.
`
`V. AMPLFICATION ON LOW SUPPLY VOLTAGE
`One may chose a converter architecture that avoids
`amplifiers (like the SAR structures discussed previously, or the
`VCO based structures we will discuss next), but there are a
`great many very desirable converter structures—including
`pipelined ADCs and most sigma delta modulators-- that rely on
`amplifiers. Techniques that give us gain and speed in low
`headroom are still very attractive. However because some of
`the papers on this topic may not have the word “converter” in
`their titles, converter audiences may miss them.
`Gregoire offered Correlated Level Shifting (CLS) in [17].
`One can realize gain through cascading amplification stages,
`but that can offer stability challenges. CLS takes a different
`approach by estimating the final output voltage during a
`correlated sample phase and applying it in a second settling
`phase, significantly reducing the required signal swing of the
`amplifier. Signal charge isn't lost for the purpose of steering the
`op amp and is redistributed on the output capacitors as
`intended thereby significantly reducing radix errors in a
`pipelined converter. Since
`the amplifier
`is used
`twice
`(estimation and settling), the closed loop gain approaches that
`of a traditional stage with an amplifier with the square of the
`actual open loop gain. Another important advantage is that the
`kT/C issue in the traditional correlated double sampler (CDS)
`is gone, because the sampling onto that "error capacitor"
`happens at the output (instead of input as in CDS). But, one of
`the drawbacks is that unlike CDS, CLS does not cancel offset
`and 1/f noise. In either case, the gain is applied recursively,
`and we have the opportunity to optimize signal swing: a
`critical factor in low headroom environments.
`Van de Goes [18] demonstrates the use of a dynamic
`integrator as a residue amplifier, where background calibration
`is used to realize the accuracy required in interstage gain for a
`pipeline ADC.
`In a different approach, Hershberg [19] gave us the
`“ringamp”. The amplifier is essentially a cascade of three
`inverters. However, in the middle an offset ("dead zone") is
`placed into the inverter such that the output stage (last inverter)
`
`is turned off for certain conditions. The control of this dead
`zone allows the cascade of inverters to behave like an
`amplifier. The ringamp can be thought of as a dynamic
`amplifier that self regulates/controls the behavior via the
`inherent feedback of the switched capacitor circuit. Lim’s
`2014 ISSCC paper [13] had a modified ringamp where dead
`zone is controlled by a resistor instead of a voltage across a
`capacitor, and there has been further work developing this
`amplifier structure. As supply voltages fall below 1V, diff pairs
`and tail currents become harder to squeeze in, and we are
`seeing more “inverter-as-an-analog-gain-block” approaches.
`
`
`
`VI. SOMETHING DIFFERENT: VCO-BASED ADCS
`The challenges of very deep submicron (low voltage
`compliance) and the advantages (very high speed) suggest that
`we consider completely different architectural approaches—
`including using time as part of the quantized quantity. The
`concept of VCO-based ADCs precedes our decade window,
`including work by Høvin [20], but in our time period the
`concept has been revived in a compelling way by Straayer [21].
`The topology takes advantage of the fact that VCO-based
`quantizers can provide multi-bit quantization and integration
`without saturating—but it also deals with the nonlinear
`voltage-to-frequency characteristic by wrapping a conventional
`continuous
`time
`integrator
`loop around the quantizer—
`essentially making this a higher order modulator hybrid
`structure.
` This topology lends itself to higher SNDR
`applications than the previous work. This implementation also
`features a multi-phase VCO that is wired to the feedback DAC
`elements in a clever manner to provide 1st order shaping of
`DAC element mismatch.
`As a follow up, Park [22] worked to address the remaining
`issue of VCO linearity by feeding back phase rather than
`frequency in the continuous time loop. While this approach
`forfeits the benefit of the inherent dynamic element matching
`noise shaping of the feedback DAC elements, it substantially
`reduces the effects of the VCO’s Kv nonlinearity. (This is also
`a great example of where the Journal of Solid-State Circuits
`article represents a much more informative reference for study
`than the original conference paper.)
`
`
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`

`[8] R. Kapusta; J. Shen; S. Decker; H. Li; E. Ibaragi; H. Zhu, “A 14b 80
`MS/s SAR ADC With 73.6 dB SNDR in 65 nm CMOS,” IEEE
`Journal of Solid-State Circuits, 2013, Volume: 48, Issue: 12,Pages:
`3059 – 3066.
`[9] C. P. Hurrell, C. Lyden, D. Laing, D. Hummerston and M. Vickery,
`9] C. P. Hurrell, C. Lyden, D. Laing, D. Hummerston and M. Vickery,
`"An 18 b 12.5 MS/s ADC With 93 dB SNR," in IEEE Journal of
`"An 18 b 12.5 MS/s ADC With 93 dB SNR," in IEEE Journal of
`Solid-State Circuits, vol. 45, no. 12, pp. 2647-2654, Dec. 2010.
`Solid-State Circuits, vol. 45, no. 12, pp. 2647-2654, Dec. 2010.
`[10] C. C. Lee and M. P. Flynn, "A SAR-Assisted Two-Stage Pipeline
`ADC," in IEEE Journal of Solid-State Circuits, vol. 46, no. 4, pp.
`859-869, April 2011.
`[11] Youngcheol Chae; Kamran Souri; Kofi A. A. Makinwa, “A 6.3 (cid:151)W
`20 bit Incremental Zoom-ADC with 6 ppm INL and 1 (cid:151)V Offset,”
`IEEE Journal of Solid-State Circuits, 2013, Volume: 48, Issue: 12,
`Pages: 3019 – 3027.
`[12] K. Poulton; R. Neff; A. Muto; Wei Liu; A. Burstein; M. Heshami, “A
`4 Gsample/s 8b ADC in 0.35 /spl mu/m CMOS,” ISSCC. 2002 IEEE
`International Solid-State Circuits Conference Digest of Technical
`Papers, 2002, Volume: 1, Pages: 166 - 167
`[13] L. Kull; T. Toifl; M. Schmatz; P. A. Francese; C. Menolfi; M.
`Braendli; M. Kossel; T. Morf; T. M. Andersen; Y. Leblebici, “A
`90GS/s 8b 667mW 64× interleaved SAR ADC in 32nm digital SOI
`CMOS,” 2014 IEEE International Solid-State Circuits Conference
`Digest of Technical Papers (ISSCC), 2014, Pages: 378 – 379
`[14] B. Murmann; B. E. Boser, “A 12 b 75 MS/s pipelined ADC using
`open-loop residue amplification,” 2003 IEEE International Solid-
`State Circuits Conference Digest of Technical Papers, 2003, Pages:
`328 - 329 vol.1
`[15] Y. Chai and J.-T. Wu, “A 5.37mW 10b 200MS/s dual-path pipelined
`ADC,” in ISSCC Dig. Techn. Papers, 2012, pp. 462–464.
`[16] H. Van de Vel; J. Briaire; C. Bastiaansen; P. van Beek; G. Geelen; H.
`Gunnink; Y. Jin; M. Kaba; K. Luo; E. Paulus; B. Pham; W. Relyveld;
`P. Zijlstra, “A 240mW 16b 3.2GS/s DAC in 65nm CMOS with <-
`80dBc IM3 up to 600MHz,” 2014 IEEE International Solid-State
`Circuits Conference Digest of Technical Papers (ISSCC), 2014,
`Pages: 206 – 207.
`[17] B. R. Gregoire; U. Moon, “An Over-60dB True Rail-to-Rail
`Performance Using Correlated Level Shifting and an Opamp with
`30dB Loop Gain,” 2008 IEEE International Solid-State Circuits
`Conference - Digest of Technical Papers, 2008, Pages: 540 – 634.
`[18] Frank van der Goes; Christopher M. Ward; Santosh Astgimath; Han
`Yan; Jeff Riley; Zeng Zeng; Jan Mulder; Sijia Wang; Klaas Bult, “A
`1.5 mW 68 dB SNDR 80 Ms/s 2 Interleaved Pipelined SAR ADC in
`28 nm CMOS,” IEEE Journal of Solid-State Circuits, 2014, Volume:
`49, Issue: 12, Pages: 2835 – 2845.
`[19] B. Hershberg; S. Weaver; K. Sobue; S. Takeuchi; K. Hamashita; U.
`Moon, “Ring amplifiers for switched-capacitor circuits,” 2012 IEEE
`International Solid-State Circuits Conference, 2012, Pages: 460 – 462
`[20] Yong Lim; Michael P. Flynn, “A 100MS/s 10.5b 2.46mW
`comparator-less pipeline ADC using self-biased ring amplifiers,”
`2014 IEEE International Solid-State Circuits Conference Digest of
`Technical Papers (ISSCC), 2014, Pages: 202 – 203.
`[21] M. Høvin; A. Olsen; T. S. Lande; C. Toumazou, “Delta-sigma
`modulators using frequency-modulated intermediate values,” IEEE
`Journal of Solid-State Circuits, 1997, Volume: 32, Issue: 1 Pages: 13
`- 22
`[22] M. Z. Straayer; M. H. Perrott, “A 12-Bit, 10-MHz Bandwidth,
`Continuous-Time
` ADC With a 5-Bit, 950-MS/s VCO-Based
`Quantizer,” IEEE Journal of Solid-State Circuits, 2008, Volume: 43,
`Issue: 4, Pages: 805 – 814.
`[23] Matthew Park; Michael H. Perrott, “A 78 dB SNDR 87 mW 20 MHz
`Bandwidth Continuous-Time ADC With VCO-Based Integrator and
`Quantizer Implemented in 0.13 m CMOS,” IEEE Journal of Solid-
`State Circuits, 2009, Volume: 44, Issue: 12, Pages: 3344 – 3358.
`
`VII. CONCLUSION
` As with any survey, these citations should be used as a
`starting point for the converter enthusiast. The references in
`each of these papers can be used to trace circuit genealogy
`backwards, and search for other papers by the same authors can
`also prove a rich vein of worthy work. The IEEE Xplore tool
`is recommended as an excellent resource (it also provides an
`indication of the number of times a given paper has been cited
`by other IEEE publications, and as you might guess, several of
`these papers have been substantially cited.)
`
`ACKNOWLEDGMENTS
`The authors would like to acknowledge the generous
`suggestions and debates from colleagues in each of their
`institutions, and special thanks to Kofi Makinwa and the
`members of the ESSCIRC Converter committee for their
`inputs.
`
`REFERENCES
`
`[4]
`
`[1] D. Draxelmayr, “A 6b 600MHz 10mW ADC array in digital 90nm
`CMOS,” 2004 IEEE International Solid-State Circuits Conference--
`Digest of Technical Papers, 2004 Pages: 264 - 266
`[2] S. W. M. Chen; R. W. Brodersen, “A 6-bit 600-MS/s 5.3-mW
`Asynchronous ADC in 0.13- CMOS” , IEEE Journal of Solid-State
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`[3] B. P. Ginsburg; A. P. Chandrakasan, “500-MS/s 5-bit ADC in 65-nm
`CMOS With Split Capacitor Array DAC,” IEEE Journal of Solid-
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`[5] Pieter Harpe; Eugenio Cantatore; Arthur van Roermund, “A
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