A Time-Based Pipelined ADC Using Both Voltage and Time Domain Information

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    IEEE JOURNAL OF SOLID-STATE CIRCUITS, VOL. 49, NO. 4, APRIL 2014 961

    A Time-Based Pipelined ADC Using Both

    Voltage and Time Domain InformationTaehwan Oh, Member, IEEE, Hariprasath Venkatram, Member, IEEE, and Un-Ku Moon, Fellow, IEEE

    AbstractIn this paper, a Nyquist ADC with a time-basedpipelined TDC is proposed. In the proposed ADC, the firstpipeline stage incorporates both residue amplification and a V-Tconversion with high accuracy, efficiently realized by a low gainamplifier with only 24 dB dc gain. Furthermore, adding to power

    efficiency, a hybrid time-domain pipeline stage based on simplecharge pump and capacitor DAC in its backend stages is alsoproposed. Using the right combination of voltage and time do-main information, the proposed ADC architecture benefits from

    improved resolution and power efficiency, with MSBs resolved involtage domain and LSBs in time domain. The measured results of

    the prototype ADC implemented in a 0.13 m CMOS demonstratepeak SNDR of 69.3 dB at 6.38 mW power and 70 MHz sampling

    frequency. The FOM based on peak SNDR is 38.2 fJ/conver-sion-step.

    Index TermsPipelined analog-to-digital converters, time do-main, time-to-digital converters, voltage domain, voltage-to-timeconversion.

    I. INTRODUCTION

    H IGH resolution and wide signal bandwidth with lowpower consumption are preferred specifications ofADCs used in a variety of applications. For high resolution

    and wide bandwidth, the pipelined ADCs, which employ a

    residue amplifier with high open loop gain in a conventional

    voltage domain, have been widely used for many decades.

    However, it is more challenging to design a pipelined ADC in

    the advanced deep sub-micron processes due to the reduced

    supply voltage and intrinsic gain of the device. It is difficult to

    reduce the power consumption of the pipelined ADC due to the

    need for an accurate amplifier, which consumes large power in

    general. The SAR architecture is a good alternative to achieve

    a better power efficiency, but it still needs a power hungry

    Manuscript received August 17, 2013; revised October 21, 2013; accepted

    November 19, 2013. Date of publication December 18, 2013; date of currentversion March 24, 2014. This paper was approved by Guest Editor Hideyuki

    Kabuo. This work is supported by CDADIC and partly by SRC.

    T. Oh was with the School of Electrical Engineering and Computer Science,Oregon State University, Corvallis, OR 97331 USA, and is now with Tektronix,

    Inc., Beaverton, OR 97077 USA.H. Venkatram was with the School of Electrical Engineering and Computer

    Science, Oregon State University, Corvallis, OR 97331 USA, and is now withIntel Corporation, Hillsboro, OR 97124 USA.

    U. Moon is with the School of Electrical Engineering and Computer Science,

    Oregon State University, Corvallis, OR 97331 USA.Color versions of one or more of the figures in this paper are available online

    at http://ieeexplore.ieee.org.

    Digital Object Identifier 10.1109/JSSC.2013.2293019

    residue amplifier to achieve high resolution (in a multi-stage

    architecture) [1], which is less power efficient and difficult to

    design in reduced supply voltage. While there are many ways

    to reduce power consumption of the ADC by using a simple

    low gain amplifier with relatively low power consumption, it

    is not easy to correct nonlinear amplifier errors. Furthermore,

    the nonlinear error becomes worse with process scaling, due to

    the difficulty in maintaining a moderate signal swing at lower

    supply voltage.

    Recently, time-domain quantizers have drawn attention in

    advanced CMOS processes as a viable candidate for power

    efficient ADC architecture [2][4]. In order to increase the

    resolution in time domain, a time amplifier is employed in

    multi-stage architectures [5][7]. However, these approaches

    need complex calibration to correct the time amplifier nonlin-

    earity. Other approaches using a linear current source for the

    time amplification have been reported in [8][10]. Although

    these designs show power-efficient data conversion utilizing

    time-domain signal processing without an expensive residue

    amplifier, they are restricted in performance, offering either

    low bandwidth [8] or limited resolution [9], [10]. The accuracy

    of the TDC can be improved with time amplification, but the

    resolution solely in time domain is limited in general and not

    comparable to the resolution of the state of the art ADC involtage domain.

    In this paper, a hybridpipelined ADC which uses both voltage

    and time domain information is proposed [11]. The proposed

    ADC employs a new voltage-to-time conversion scheme using a

    scalable, power efficient, residue amplifier with minimal dc gain

    in its first stage while maintaining high linearity. This scheme

    not only reduces the power consumption of the ADC but also

    relaxes the design trade-off of the amplifier in a low supply

    voltage deep sub-micron process without sacrificing bandwidth.

    Also, the power efficiency and linearity of the proposed ADC

    are further improved by the hybrid time-domain pipeline stage,

    which employs a simple charge pump and capacitor DAC forthe time residue amplification and quantization in the backend

    pipeline stages.

    This paper is organized as follows. In Section II, utilization

    of time domain information in a high resolution pipelined ADC

    is briefly discussed. Section III presents the proposed pipelined

    ADC incorporating a new - conversion scheme and a hybrid

    time-based pipeline stage. The implementation details and de-

    sign considerations of non-idealities are followed in Sections IV

    and V, respectively. Finally, measurement results are provided

    in Section VI, followed by conclusions in Section VII.

    0018-9200 2013 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.

    See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.

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    Fig. 1. Example of the time amplification and quantization using charge pump.

    II. UTILIZING TIME DOMAIN INFORMATION

    FORHIGHRESOLUTION ADC

    Efficiently resolving bits and pipelining the quantization error

    requires robust and accurate residue amplification in time do-

    main. Fig. 1 shows one possible way to achieve such residue

    amplification similar to the time amplification in [8]. Based on

    a simple charge pump design, the time input can be amplifiedby

    using different slopes applied for charging and discharging. By

    measuring the discharging time for the zero-crossing, utilizing

    current sources with different ratio, the input time can be ampli-

    fied. In this example, the amplified output time with the gain of

    4 is calculated as the following equation:

    (1)

    The amplified time input signal is quantized based on a time ref-

    erence and the time-domain quantization error can be generated.

    Similar to a conventional pipelined ADCin a voltagedomain,

    this amplifi

    cation scheme can be applied to process a time-do-main signal in a pipelined architecture as shown in Fig. 2. After

    the reset phase, the time input ( ) is quantized by the sub-

    TDC,which generates the digital outputand DAC pulse ( )

    for residue generation. As shown in Fig. 3, is gener-

    ated according to from the time reference ( ) during

    the quantization. Then, the time-domain residue ( - ) is

    amplified by 4 with a different current ratio of 4:1 for charging

    and discharging in this example. After the zero-crossing com-

    parison, the time-domain residue output ( ) is generated

    for further quantization in the next pipeline stage. With time-do-

    main residue amplification and its simple open loop configura-

    tion, further quantization is possible to extract higher resolution

    with relatively low power consumption.

    Fig. 2. Pipelined TDC example with time-domain pipeline stage.

    Fig. 3. Time residue amplification and quantization of the time-domainpipeline stage.

    III. PROPOSED HYBRIDVOLTAGE AND TIME DOMAIN

    PIPELINED ADC

    A. Proposed ADC Architecture

    Shown in Fig. 4 is the proposed hybrid voltage and time-

    based pipelined ADC. It consists of a conventional 4 bit MDAC

    and a FLASH in voltage domain, a zero-crossing comparator

    for - conversion, four time-domain pipeline stages (TSTGs)

    and a 2.5 bit TDC for backend pipelined stage, and other sup-

    porting blocks. With a 1 bit redundancy between the pipeline

    stages, the ADC generates a 14 bit digital output. - tracking

    block, which provides a coarse current reference to the - con-

    verter in the MDAC and TSTGs, tracks the relation between

    the voltage and time domain gain. - gain is also tuned ex-

    ternally in analog domain and the finite gain error in each stage

    is corrected by a simple off-chip radix calibration in digital do-

    main. It is instructive to note that the linear gain error correction

    is enabled by the proposed - converter despite the use of a

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    Fig. 4. Proposed time-based pipelined ADC.

    Fig. 5. Conventional - conversion employed in noise-shaped two-step integration quantizer in [12].

    low gain nonlinear amplifier. For sub-TDCs time reference, a

    voltage controlled delay line (VCDL) is employed.

    The key features of the proposed ADC are as follows: First, a

    high resolution and wide signal bandwidth can be attained with

    the pipelined Nyquist ADC architecture. Second, a low gain

    power-efficient and nonlinear amplifier can be used for linear

    - conversion in thefirst stage based on the proposed -

    conversion. Third, a simple charge pump based pipelined ar-

    chitecture is employed for low power consumption. Finally, the

    accuracy requirement of the backend pipelined TDC in time do-

    main is significantly relaxed by the resolution of the first stagein voltage domain, where high accuracy is easier to achieve than

    a conventional TDC only architecture in time domain. As a re-

    sult, this architecture takes advantage of the unique benefits of

    utilizing both the voltage and the time domains, by processing

    MSBs in voltage domain and LSBs in time domain with this

    proposed architecture.

    B. - Conversion

    To process the signal in time domain, the initial input to the

    first stage of the ADC in voltage should be converted to a time-

    domain signal. An example of a conventional - conversion

    employed in a two-step quantizer is shown in Fig. 5 [12]. Since

    the transferred residue charge on the feedback capacitor

    is used for measuring the discharging time, the accuracy of

    this charge transfer affects this - conversion process (charge

    transfer is based on the amplifier characteristic). The residue

    output in voltage domain after the amplification phase is given

    by the following equation:

    (2)

    where is a nonlinear open loop dc gain of the ampli-

    fier which is affected by the signal swing and is the feed-

    back factor. Therefore, the time-domain output at zero-crossing

    is given by (3):

    (3)

    As a result, any nonlinear error from the amplifier directly af-

    fects the time-domain output in this - conversion. Therefore,

    a high gain and linear amplifier is required and output swing is

    limited in this case.

    Fig. 6 shows the proposed - conversion, which allevi-

    ates the stringent amplifier requirements on gain, output swing,

    and linearity. In the proposed solution, which operates in three

    phases, the charge stored in both sampling and feedback ca-

    pacitors is discharged together. Because there is no charge loss

    on both capacitors and discharged together to measure the time

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    Fig. 6. Proposed - conversion which operates in three phases.

    for zero-crossing, the time-domain output at zero-crossing is al-

    ways linear regardless of the amplifier non-idealities, as long as

    the current source meets linearity requirement [13]. The residue

    output after the amplification phase in this case is derived in the

    following equation:

    (4)

    As reflected in (4), the residue output in voltage domain is still

    affected by the amplifier characteristics. However, the time-do-

    main output at zero-crossing in the discharging phase is inde-

    pendent of the amplifier characteristics as shown in (5):

    (5)

    As a result, the output is linear regardless of the amplifi

    ercharacteristics in the proposed - conversion. An intuitive

    way to understand (5) is to realize that the zero-crossing detec-

    tion by the comparator is always detected at the same voltage

    (for the differential zero). There is no signal dependent ampli-

    fier error in the time-domain output at the zero-crossing detec-

    tion. Therefore, a low gain nonlinear amplifier can be used in

    the proposed - conversion. The bandwidth of the amplifier

    affects the time delay during the discharging phase, which is

    largely signal independent in a relatively high bandwidth am-

    plifier. Despite being a three phase operation, the time required

    for the voltage domain residue amplification can be minimized.

    The amplification phase does not require a fully settled residue

    output in voltage domain. Fig. 7 shows the linearity simulation

    of the proposed - conversion which compares the linearity

    Fig. 7. Linearity simulation of the proposed - conversion using a residue

    amplifier with 24 dB open loop dc gain (time domain output is converted to

    voltage domain signal with an ideal time-to-voltage converter for measuringthe spectrum using FFT simulation).

    of the residue output in voltage domain and time domain. In

    this transistor level simulation with a 1.2 signal at 1.2-V

    supply, a single stage common source amplifier, which has an

    open loop dc gain of 24 dB, is used. As shown in Fig. 7, the

    time-domain output after the discharging phase shows a supe-

    rior linearity compared to the voltage output of the amplifier

    after amplification (prior to discharging) with a simple nonlinear

    amplifier with minimal gain.

    This simple method for a - conversion provides signifi-

    cant advantages as follows. First, the output swing of the am-

    plifier (input swing of comparator) can be maximized, which

    makes it easy to design the zero-crossing comparator for low

    power. This provides scalability of design and portability in

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    Fig. 8. Examples for time reference generation.

    the recent CMOS processes with low supply voltage. Second,a simple (small area and low power) amplifier with very low

    gain could be employed for - conversion. Even though the

    amplifier sees a reduced feedback factor in this case and less

    time for settling because of three-phase operation (needs more

    bandwidth), it benefits from a significant net improvement from

    being able to use much simpler amplifier architecture. Thanks to

    the proposed - conversion, the most power hungry block of

    the residue amplifier in the first pipeline stage can be designed

    without the conventional stringent requirements such as gain,

    linearity, and power. This results in a scalable, low voltage, low

    power ADC architecture amenable towards deep sub-micron

    process.

    C. Hybrid Time Domain Stage

    Even though the pipelined TDC example based on the time-

    domain pipeline stage in the previous section is a suitable candi-

    date forlow power consumption, it also hasseveral error sources

    such as the nonlinearity of the current source, the noise of the

    comparator, and the jitter of the time reference. In particular,

    jitter of the time reference will be the limiting factor for a given

    process, speed, resolution and power of the pipelined TDC. The

    linearity of the DAC pulse in the time-domain quantization is

    also critical in achieving high accuracy, similar to DAC linearityin a conventional pipelined ADC.

    Fig. 8 shows two possible methods to generate the time ref-

    erence. Either a high frequency clock from an oscillator or a

    delay line from DLL is typically employed as a time reference.

    However both methods require high accuracy, which adds to

    complexity. In general, the high frequency clock suffers from

    the jitter and can consume a large amount of power. In order to

    achieve -bit SNR, the required jitter tolerance in the time ref-

    erence is less than 1 of the -bit TDC resolution, which is

    not easy to achieve in high resolution cases with fine time refer-

    ence [14]. Also DLL has a limited linearity due to its delay cell

    mismatch [15]. Even though the jitter induced error or nonlin-

    earity from the time reference can be calibrated, it requires com-

    plex calibration algorithm and extra power consumption [16].

    Fig. 9. Proposed hybrid time-domain stage.

    Fig. 10. Basic operation of the proposed hybrid time-domain stage.

    To solve the problem efficiently, a hybrid time-domain quan-tization stage is proposed as shown in Fig. 9. The proposed hy-

    brid stage employs a capacitor DAC for charge subtraction in-

    stead of using a time-domain DAC pulse. The linearity of DAC

    in this architecture only depends on capacitor matching, which

    is not difficult to achieve. Time-domain error sources such as

    jitter or delay cell mismatch now only affect the linearity of

    sub-TDC and it is relaxed with the given redundancy between

    stages. With a conventional error correction scheme which usu-

    ally is employed to correct comparator error in a pipelined ADC,

    the time reference error up to can be corrected by

    the 1 bit redundancy between the pipeline stages [17]. Fig. 10

    illustrates the operation of the proposed stage. Initially, all ca-pacitors are reset to the positive reference. In charging phase,

    capacitors are charged by a fixed current (4I) based on the time

    input. At the same time, sub-TDC quantizes the time input and

    generates a corresponding thermometer code for the DAC op-

    eration, sequentially. In next phase, the stored charge on the ca-

    pacitors (which represents the residue) is discharged by a dif-

    ferent current ratio (I) for residue amplification. After the zero-

    crossing, the amplified time residue output is passed on to the

    next pipelined stage.

    The comparison of two different time amplification methods

    is shown in Fig. 11. In case of the amplification using a dual

    slope (charging and discharging), the linearity of the current

    source is limited (or signal swing is reduced) and the residue

    gain is not well defined due to the different type of current

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    Fig. 11. Comparison of two different implementations of the time amplifica-tion: dual slope (charging and discharging) vs. single slope (two charging).

    sources (PMOS and NMOS type) for the amplification. How-

    ever in a single slope case (using two charging slopes) similar

    to [8], the same type of current source is used for amplification.

    As a result, the residue gain only depends on the matching of the

    same type of current sources which is well defined with careful

    layout. In this case, the linearity of the current source can be

    maximized with a proper control of the output common mode.

    Although twice the capacitors are required in the single slope

    case, it provides many advantages in real implementation which

    uses a low supply voltage. In case of the amplification using a

    dual slope, it is difficult to get a required signal swing with high

    linearity, which results in an increased capacitance for the sameSNR with a smaller signal swing. Therefore, the amplification

    method using the single slope is employed in this work.

    IV. CIRCUIT IMPLEMENTATION

    A. Multiplying Digital-to-Analog Converter (MDAC)

    Fig. 12 shows the first stage MDAC in the proposed ADC.

    The proposed MDAC is similar to the conventional MDAC ex-

    cept the additional blocks employed for discharging and -

    conversion. It consists of capacitors and switches for sampling

    and DAC operation, a residue amplifi

    er, a discharging currentsource, and a zero-crossing comparator. In this implementation,

    the number of sampling capacitors for DAC operation is re-

    duced by half, based on the merged capacitor switching tech-

    nique (8 capacitors for 4 bit operation) [18]. Note that there is

    an additional path providing a fixed offset up to half of MDAC

    output swing, which guarantees that the MDAC output is always

    larger than zero for the uni-directional discharging, similar to

    the MDAC in the two-step quantizer in [12].

    Thanks to the proposed - conversion scheme a simple

    switched amplifier which has only 24 dB dc gain is employed

    as shown in Fig. 13. The proposed amplifier only operates in

    amplifying/discharging phase based on switched operation for

    low power consumption. Also, it drives only a small load capac-

    itance (zero-crossing comparator) in the proposed architecture.

    Fig. 12. Multiplying digital-to-analog converter (MDAC) incorporating the

    proposed - conversion (drawn as single-ended for simplicity).

    Fig. 13. Switched residue amplifier with a dc gain of 24 dB in MDAC.

    Fig. 14. Implementation of the time-domain pipeline stage (TSTG).

    Because the first stage residue amplifier is the most power con-

    suming block in conventional pipelined architecture, this simple

    amplifier structure incorporating small load capacitance reduces

    ADC power consumption significantly.The power consumption

    of the amplifier is further reduced by turning it off asynchro-

    nously after zero-crossing.

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    Fig. 15. Switched charge pump (drawn PMOS current sources only for simplicity).

    Fig. 16. Switched zero-crossing comparator.

    B. Time Domain Pipeline Stage (TSTG)

    Fig. 14 shows the implemented hybrid time-domain stage,

    which adopts a pseudo differential configuration for better

    supply noise immunity. It consists of capacitors and switches

    for charging and DAC operation, current sources for two

    charging slopes, sub-TDC with 2.5 bits, and a zero-crossing

    comparator. Note that the comparator with four inputs is em-

    ployed for a pseudo differential operation. The common mode

    levels of current sources and comparator input are controlled

    separately using the coupling capacitor, , to maximize thelinearity of current source. Therefore, the current variation

    of the current source, due to the switching operation of the

    capacitor DAC during the first charging phase with , is

    minimized in this implementation. Because the parasitic ca-

    pacitances on the output node of the current source and on the

    input node of comparator are signal dependent, the linearity of

    the proposed stage is mainly limited by these parasitic capaci-

    tances. Although the linearity can be improved by using a larger

    charging capacitance over the parasitic capacitance, it would

    consume more power. Therefore, it would be quite difficult to

    attain a very high accuracy if we were to incorporate only such

    TDC stages. In the proposed ADC architecture, the accuracy

    requirement of this TDC stage is relaxed by the resolution of

    the first stage processed in voltage domain.

    C. Switched Charge Pump

    The detailed schematic of the charge pump in TSTG is illus-

    trated in Fig. 15. The time residue gain is simply defined by the

    device ratio of two PMOS transistors as current sources. In the

    proposed charge pump, the dedicated reset phase, and ,

    allows the current source to be settled to the bias point from

    the turned-off condition before the actual charging. The current

    source is switched-off completely after the charging to reduce

    power consumption. Therefore, only the charge during the two

    charging phases is used for the operation, without any static

    charge in the charge pump. The power consumption is reducedfurther by switching off asynchronously after zero-crossing.

    D. Switched Zero-Crossing Comparator

    Fig. 16 shows the proposed zero-crossing comparator em-

    ployed in TSTG. Similar to the charge pump, the comparator

    is completely turned off asynchronously after the zero-crossing

    detection to minimize power consumption. In the proposed

    time-domain pipeline stage, the linearity is limited by the signal

    dependant parasitic capacitance on the comparator input node.

    During the first charging phase, the comparator is turned-off

    because the comparator is not used for comparison. However,

    any voltage change on the floating node from the turned-off

    transistor causes the parasitic capacitance to change, which

    results in a nonlinear error during the charging operation. This

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    Fig. 19. Residue plot of TSTG (a) with comparator delay and (b) with delay

    correction by injecting time offset in time reference.

    B. Delay From Zero-Crossing Comparator

    The dynamic range of the proposed time-domain stage is

    mainly limited by the delay from zero-crossing comparator.Fig. 19(a) shows the residue plot of TSTG with a 2.5 bit

    resolution (6 time comparators). With a conventional error

    correction scheme based on 1 bit redundancy, the decision

    error up to from the sub-TDC can be corrected

    in the proposed architecture. The error correction range is

    in ideal case. However, the error correction range

    is reduced due to the delay from the zero-crossing comparator

    (in red curve). If this delay is larger than , the residue

    output will saturate the following pipeline stage, which could

    be problematic in the proposed architecture. Only the delay

    from the comparator is considered here for simplification,

    which is the largest contributor in the proposed architecture.

    Therefore the delay should be minimized compared to the time

    reference or should be properly corrected (to maximize error

    correction range). Fig. 19(b) compares two residue plots with

    and without a delay correction, which compensate the delay

    from the zero-crossing comparator. With the delay correction,

    the delay can be corrected by subtracting the same amount of

    delay from the time reference as a time offset (in blue curve).

    By shifting the decision point of the sub-TDC, the time residue

    output can be located in the nominal range, which allows the

    same error correction range as the ideal case. As a result, the

    entire error correction range (up to ) is used for

    the error correction of the sub-TDC. In this implementation,

    another adjustable delay cell is added to the time reference (in

    Fig. 20. Chip photo of the prototype ADC in 0.13 m CMOS process

    ( mm m by 460 m).

    Fig. 21. Measured DNL and INL.

    VCDL) for this purpose. This time offset is adjusted externally

    by monitoring the digital output code from the sub-TDC.

    VI. MEASUREMENT RESULTS

    The prototype ADC was implemented in a 0.13 m CMOS

    process. Fig. 20 shows the chip photograph of the fabricated

    prototype [11]. The active area is 0.5 mm (1095 m by

    460 m). Fig. 21 shows the measured DNL and INL. In this

    measurement, 11 bit MSBs are used for DNL and INL calcu-

    lation. In this prototype, an adjustable delay cell is employed

    in the time reference, which corrects each comparator delay

    globally. However due to the limited delay correction range andmatching accuracy of the blocks in actual implementation, this

    global delay correction does not completely correct the delay

    in the LSB stage (TSTG3). This results in input saturation of

    the next stage (TSTG4). Due to this saturation, the prototype

    ADC still has a few missing codes even at 12 bit resolution.

    Therefore, DNL and INL of the prototype ADC are measured

    at 11 bit resolution, while the entire 14 bit output is used for

    SNDR and SFDR measurements. The measured DNL and

    INL at 11 bit accuracy are and ,

    respectively. Fig. 22 shows the measured output spectrum at

    70 MS/s sampling rate and 1 MHz input frequency. The mea-

    sured SNDR and SFDR are 69.3 dB and 80.6 dB, respectively,

    while consuming 6.38 mW under 1.3-V supply. Due to the

    proposed - conversion in the first stage of the pipelined

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    Fig. 22. Measured output spectrum ( , downsampled by afactor of 4).

    Fig. 23. Measured SNDR vs. input frequency.

    Fig. 24. Dynamic range of the proposed ADC.

    ADC, the input range is maximized up to near rail-to-rail of

    2.4 for the maximum SNR performance while achieving

    high linearity of more than 80 dB SFDR at the same time.

    The measured SNDR and SFDR with 20 MHz input frequency

    are 65.2 dB and 75.9 dB, respectively. The measured SNDR

    versus different input frequencies is shown in Fig. 23. The

    measured dynamic range with 1 MHz input signal is shown

    in Fig. 24, which is 72.6 dB with a of the full scale

    input. The calculated best FOM with a 1 MHz input frequency

    Fig. 25. Power breakdown of the prototype ADC.

    TABLE IPERFORMANCE COMPARISON.

    TABLE IIPERFORMANCE SUMMARY OF THE PROTOTYPE ADC.

    is 38.2 fJ/conversion-step. Table I compares the recently pub-lished state of the art Nyquist ADC with maximum SNDR

    above 65 dB, sampling rate above 50 MHz, and Walden FOM

    below 100 fJ/C-S [20][24]. As shown in Table I, the proposed

    ADC shows a competitive FOM among the recently published

    ADCs with similar specifications. The FOM of the proposed

    ADC can be improved further with a more advanced CMOS

    process. Fig. 25 shows the power breakdown and Table II

    summarizes the measured performance of the prototype ADC,

    respectively.

    VII. CONCLUSION

    A pipelined ADC incorporating a time-based pipeline archi-

    tecture is presented in this paper. The proposed ADC uses both

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    time domain and voltage domain information in analog-to-dig-

    ital conversion. By using the pipelined TDC as a backend stage

    of the ADC, as well as a pipeline stage in voltage domain as

    the first stage, the proposed architecture achieves power effi-

    ciency and the linearity. The proposed ADC is amenable to

    process scaling and uses a scaling-friendly amplifier with min-

    imum dc gain and maximum signal swing (in the first stage

    MDAC for - conversion). The power efficiency and lin-

    earity of the ADC are further improved by the proposed hybrid

    time-domain pipeline stage which uses a simple charge pump

    and capacitor DAC for the time residue generation.

    ACKNOWLEDGMENT

    The authors would like to thank Texas Instruments for the

    chip fabrication.

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    Taehwan Oh (S09M14) received the B.S. and

    M.S. degrees in electronic engineering from SogangUniversity, Seoul, Korea, in 2000 and 2002, respec-

    tively, and the Ph.D. degree in electrical engineering

    and computer science from Oregon State University,Corvallis, OR, USA, in 2013.

    He is currently an analog design engineer atTektronix, Inc., Beaverton, OR, USA. From 2002

    to 2009, he was with Samsung Electronics, Yongin,Korea, where he was working on analog-to-digital

    converters and analog front-end for various ap-

    plications. His research interests include high performance analog-to-digital

    converters and analog front-end for signal interface in many applications.

    Hariprasath Venkatram (S08M14) received the

    B.Tech. and M.Tech. dual degrees in electrical engi-

    neering from Indian Institute of Technology, Madras,

    India, in 2008, and the Ph.D. degree in electrical en-

    gineering and computer science from Oregon State

    University, Corvallis, OR, USA, in 2013.

    He is currently a research scientist at Intel Cor-

    poration, Hillsboro, OR, USA. He has received theProfessor Achim Bopp Award from IIT-Madras and

    a finalist in the Broadcom Foundation University

    Research competition. His research interests include

    data converters, timing circuits, amplifiers, fi lters and mixed signal design. He

    is a member of Solid-State Circuits and Circuits and Systems Society.

    Un-Ku Moon (S92M94SM99F09) received

    the B.S. degree from the University of Washington,

    Seattle, WA, USA, in 1987, the M.Eng. degree from

    Cornell University, Ithaca, NY, USA, in 1989, and

    the Ph.D. degree from the University of Illinois,

    Urbana-Champaign, IL, USA, in 1994.

    He has been with the School of Electrical Engi-

    neeringand Computer Science, Oregon State Univer-

    sity, Corvallis, OR, USA, since 1998. Before joining

    Oregon State University, he was with Bell Laborato-ries from 1988 to 1989, andfrom 1994 to 1998. His

    technical contributions have been in the area of analog and mixed-signal cir-

    cuits including high linearity filters, timing recovery, PLLs, data converters, and

    low-voltage circuits for CMOS.

    Dr. Moon served as the Editor-in-Chief of the IEEE JOURNAL OF SOLID-

    STATE CIRCUITS and the IEEE TRANSACTIONS ONCIRCUITS ANDSYSTEMS II,

    as a Distinguished Lecturer of the IEEE Solid-State Circuits Society, as an As-

    sociate Editor of the IEEE JOURNAL OF SOLID-STATE CIRCUITSand the IEEE

    TRANSACTIONS ON CIRCUITS AND SYSTEMS II, and as the Deputy Editor-in-

    Chief of the IEEE TRANSACTIONS ONCIRCUITS ANDSYSTEMS II. He served on

    governing boards ofboth the IEEE Solid-State Circuits Society (SSCS AdCom)

    and the IEEE Circuits and Systems Society (CASS BoG) as the SSCS represen-

    tative to CASS. He also served as a Technical Program Committee member of

    the IEEE International Solid-State Circuits Conference, the IEEE VLSI Circuits

    Symposium, and the IEEECustom Integrated Circuits Conference. He currently

    serves on the Executive Committee of the IEEE Symposia on VLSI Technologyand Circuits.