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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS, VOL. 55, NO. 4, APRIL 2008 319 A Programmable 0.8-V 10-bit 60-MS/s 19.2-mW 0.13- m CMOS ADC Operating Down to 0.5 V Hee-Cheol Choi, Young-Ju Kim, Si-Wook Yoo, Student Member, IEEE, Sun-Young Hwang, and Seung-Hoon Lee, Member, IEEE Abstract—This work describes a programmable 10- to 100-MS/s, low-power 10-bit two-step pipeline analog–digital converter (ADC) operating at a power supply from 0.5- to 1.2-V. MOS transistors with a low-threshold voltage are employed partially in the input sampling switches and differential pair of the SHA and MDAC for a proper signal swing margin at a 0.5-V supply. The integrated ad- justable current reference optimizes the static and dynamic perfor- mance of amplifiers at 10-bit accuracy with a wide range of supply voltages. A signal-isolated layout improves the capacitor mismatch of the multiplying digital-to-analog converter, while a switched- bias power-reduction technique reduces the power dissipation of comparators in the flash ADCs. The prototype ADC in a 0.13- m CMOS process demonstrates the measured differential nonlin- earity and integral nonlinearity within 0.35 and 0.49 least signif- icant bits. The ADC, with an active die area of 0.98 mm , shows a maximum signal-to-noise distortion ratio and spurious free dy- namic range of 56.0 and 69.6 dB, respectively, and a power con- sumption of 19.2 mW at a nominal condition of 0.8 V and 60 MS/s. Index Terms—Adjustable current, analog-to-digital converter (ADC), CMOS, low voltage, programmable. I. INTRODUCTION R ECENTLY, low-voltage and low-power circuit design issues have been considered to be critical for high-per- formance system-on-a-chip (SoC) applications, especially for battery powered mobile communication systems such as Dig- ital Video Broadcasting-Terrestrial (DVB-T), DVB-Handheld (DVB-H), Satellite Digital Media Broadcasting (SDMB), and Terrestrial DMB (TDMB). The analog-to-digital converters (ADCs) for such mobile applications need a resolution of 10 bits and an input bandwidth of up to 38 MHz at a sampling rate of several tens of megasamples per second with low power consumption. However, the voltage drop of a battery power supply degrades the ADC performance by increasing the on-resistance of analog switches and by decreasing the signal bandwidth and swing margin of essential analog circuits such as amplifiers required in the ADCs. Some mixed-signal SoC interface circuits tend to employ considerably different levels of supply voltage depending on applications even with the same process. As a result, it is often desirable for ADCs to operate in a wide range of supply voltages, if possible, even down to the 0.5-V level while satisfying the least required specifications. The recently reported 10-bit CMOS pipeline ADCs, operating Manuscript received July 31, 2007; revised November 13, 2007. This work was supported in part by the Samsung Electronics, the Nano IP/SoC Promotion Group of Seoul R&BD Program 2007, and the IDEC of KAIST, Korea. This paper was recommended by Guest Editor W. A. Serdijn. The authors are with Department of Electronic Engineering, Sogang Univer- sity, Seoul 121-742, Korea (e-mail: [email protected]). Digital Object Identifier 10.1109/TCSII.2008.918989 Fig. 1. Proposed programmable 10-bit ADC. around 1.0-V supplies with a sampling rate exceeding tens of megasamples per second, and the proposed 10-bit ADC are compared in Table I [1]–[6]. As shown in Table I, most of the ADCs operate at a fixed supply voltage of 1.0 V while the pro- posed programmable ADC operates at supply voltages ranging from 0.5 to 1.2 V. The proposed ADC operating even at a low supply voltage of 0.5 V shows the best differential nonlinearity (DNL) and integral nonlinearity (INL) when compared with the recently reported 10-bit ADCs showing similar functional performances. The proposed 10-bit ADC employs a two-step pipeline architecture to optimize conversion speed, chip area, and power consumption. MOS transistors, with a low-threshold voltage, are partially used in the gate-bootstrapped input sampling switches and differential input stage of the sample-and-hold amplifier (SHA) based on a two-stage amplifier to obtain high static and dynamic performances at a 0.5-V supply. Full CMOS on-chip adjustable current and voltage (I/V) references properly maintain the required dc gain and output swing range of amplifiers for optimized data conversion speed at a supply voltage ranging from 0.5 to 1.2 V. A signal-isolated all direc- tionally symmetric layout technique minimizes the capacitor and device mismatch in the multiplying digital–analog con- verter (MDAC) and a switched-bias power-reduction technique reduces the power consumption of comparators in the 5- and 6-bit sub-ranging flash ADCs. II. PROPOSED ADC ARCHITECTURE The proposed 10-bit CMOS ADC, as illustrated in Fig. 1, con- sists of an input SHA, a 5-bit MDAC, 5- and 6-bit flash ADCs, on-chip I/V references, digital circuits such as digital correction logic (DCL), a decimator, and a clock generator. The nonover- lapping Q1 and Q2 clock phases are internally generated. Non- linear errors such as offsets and clock feed-through errors be- tween pipeline stages are digitally corrected in the DCL by over- lapping 1 bit from 11-bit raw codes to obtain 10-bit outputs. The on-chip decimator samples the 10-bit outputs of the prototype 1549-7747/$25.00 © 2008 IEEE

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Page 1: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS …eeic7.sogang.ac.kr/paper file/international journal/TCAS... · 2008. 4. 25. · 320 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II:

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS, VOL. 55, NO. 4, APRIL 2008 319

A Programmable 0.8-V 10-bit 60-MS/s 19.2-mW0.13-�m CMOS ADC Operating Down to 0.5 V

Hee-Cheol Choi, Young-Ju Kim, Si-Wook Yoo, Student Member, IEEE, Sun-Young Hwang, andSeung-Hoon Lee, Member, IEEE

Abstract—This work describes a programmable 10- to 100-MS/s,low-power 10-bit two-step pipeline analog–digital converter (ADC)operating at a power supply from 0.5- to 1.2-V. MOS transistorswith a low-threshold voltage are employed partially in the inputsampling switches and differential pair of the SHA and MDAC fora proper signal swing margin at a 0.5-V supply. The integrated ad-justable current reference optimizes the static and dynamic perfor-mance of amplifiers at 10-bit accuracy with a wide range of supplyvoltages. A signal-isolated layout improves the capacitor mismatchof the multiplying digital-to-analog converter, while a switched-bias power-reduction technique reduces the power dissipation ofcomparators in the flash ADCs. The prototype ADC in a 0.13-m CMOS process demonstrates the measured differential nonlin-earity and integral nonlinearity within 0.35 and 0.49 least signif-icant bits. The ADC, with an active die area of 0.98 mm�, showsa maximum signal-to-noise distortion ratio and spurious free dy-namic range of 56.0 and 69.6 dB, respectively, and a power con-sumption of 19.2 mW at a nominal condition of 0.8 V and 60 MS/s.

Index Terms—Adjustable current, analog-to-digital converter(ADC), CMOS, low voltage, programmable.

I. INTRODUCTION

RECENTLY, low-voltage and low-power circuit designissues have been considered to be critical for high-per-

formance system-on-a-chip (SoC) applications, especially forbattery powered mobile communication systems such as Dig-ital Video Broadcasting-Terrestrial (DVB-T), DVB-Handheld(DVB-H), Satellite Digital Media Broadcasting (SDMB), andTerrestrial DMB (TDMB). The analog-to-digital converters(ADCs) for such mobile applications need a resolution of 10bits and an input bandwidth of up to 38 MHz at a samplingrate of several tens of megasamples per second with low powerconsumption. However, the voltage drop of a battery powersupply degrades the ADC performance by increasing theon-resistance of analog switches and by decreasing the signalbandwidth and swing margin of essential analog circuits suchas amplifiers required in the ADCs. Some mixed-signal SoCinterface circuits tend to employ considerably different levelsof supply voltage depending on applications even with the sameprocess. As a result, it is often desirable for ADCs to operate ina wide range of supply voltages, if possible, even down to the0.5-V level while satisfying the least required specifications.The recently reported 10-bit CMOS pipeline ADCs, operating

Manuscript received July 31, 2007; revised November 13, 2007. This workwas supported in part by the Samsung Electronics, the Nano IP/SoC PromotionGroup of Seoul R&BD Program 2007, and the IDEC of KAIST, Korea. Thispaper was recommended by Guest Editor W. A. Serdijn.

The authors are with Department of Electronic Engineering, Sogang Univer-sity, Seoul 121-742, Korea (e-mail: [email protected]).

Digital Object Identifier 10.1109/TCSII.2008.918989

Fig. 1. Proposed programmable 10-bit ADC.

around 1.0-V supplies with a sampling rate exceeding tens ofmegasamples per second, and the proposed 10-bit ADC arecompared in Table I [1]–[6]. As shown in Table I, most of theADCs operate at a fixed supply voltage of 1.0 V while the pro-posed programmable ADC operates at supply voltages rangingfrom 0.5 to 1.2 V. The proposed ADC operating even at a lowsupply voltage of 0.5 V shows the best differential nonlinearity(DNL) and integral nonlinearity (INL) when compared withthe recently reported 10-bit ADCs showing similar functionalperformances.

The proposed 10-bit ADC employs a two-step pipelinearchitecture to optimize conversion speed, chip area, and powerconsumption. MOS transistors, with a low-threshold voltage,are partially used in the gate-bootstrapped input samplingswitches and differential input stage of the sample-and-holdamplifier (SHA) based on a two-stage amplifier to obtainhigh static and dynamic performances at a 0.5-V supply. FullCMOS on-chip adjustable current and voltage (I/V) referencesproperly maintain the required dc gain and output swing rangeof amplifiers for optimized data conversion speed at a supplyvoltage ranging from 0.5 to 1.2 V. A signal-isolated all direc-tionally symmetric layout technique minimizes the capacitorand device mismatch in the multiplying digital–analog con-verter (MDAC) and a switched-bias power-reduction techniquereduces the power consumption of comparators in the 5- and6-bit sub-ranging flash ADCs.

II. PROPOSED ADC ARCHITECTURE

The proposed 10-bit CMOS ADC, as illustrated in Fig. 1, con-sists of an input SHA, a 5-bit MDAC, 5- and 6-bit flash ADCs,on-chip I/V references, digital circuits such as digital correctionlogic (DCL), a decimator, and a clock generator. The nonover-lapping Q1 and Q2 clock phases are internally generated. Non-linear errors such as offsets and clock feed-through errors be-tween pipeline stages are digitally corrected in the DCL by over-lapping 1 bit from 11-bit raw codes to obtain 10-bit outputs. Theon-chip decimator samples the 10-bit outputs of the prototype

1549-7747/$25.00 © 2008 IEEE

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320 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS, VOL. 55, NO. 4, APRIL 2008

TABLE IRECENTLY REPORTED 10 BITS CMOS ADCS OPERATING AT A 1.0-V SUPPLY LEVEL

Fig. 2. SHA with gate-bootstrapped sampling switches.

ADC at a full, a half, or a quarter conversion speed accuratelyto evaluate the ADC dynamic performance by minimizing theglitch and transient noise coming from the performance evalua-tion board.

III. ADC ARCHITECTURE IMPLEMENTATION

A. Low-Voltage Amplifier for the SHA and MDAC

The proposed ADC needs low-voltage amplifiers to operatereliably even at a 0.5-V supply voltage. The SHA and MDACemploy a two-stage amplifier to achieve a high enough dc gainand output swing margin for 10-bit accuracy as shown in Fig. 2.The folded-cascode architecture is employed in the first stageamplifier primarily to achieve a high dc gain while the common-source topology with a tail current source transistor is needed inthe second stage amplifier in order to obtain a high output swingmargin at a low supply voltage. As a matter of fact, the dc gainof the second stage amplifier can be degraded because of thesignificantly reduced resulting from the large output signalswing in extremely low voltage conditions. However, the gainof the first stage amplifier is large enough to cover the reducedgain of the second stage amplifier for 10-bit resolution.

Particularly, in the differential input stage of amplifiers,nMOS transistors with a low-threshold voltage, are used simul-taneously to achieve a low parasitic capacitance, a high signalswing margin, and a high trans-conductance for the requiredbandwidth and sampling rate at a resolution of 10 bits and a0.5-V supply.

B. Full CMOS On-Chip Current and Voltage References

The typical bandgap voltage reference is difficult to operateat sub-1.0-V supplies because of the bandgap voltage limitation.The ADC, proposed in this work, implements supply- and tem-perature-insensitive on-chip full CMOS I/V references properlyto operate at a low supply voltage ranging from 0.5 to 1.2 V.The basic circuit architecture is explained in detail in [7]. How-ever, the proposed reference circuits have a modified part for alow voltage operation compared to the previous work. For ex-ample, the stacked pMOS transistor “MP2,” which is describedin Fig. 2 of the previous paper, is removed for proper operationeven at low supply voltage conditions.

Off-chip voltage references are optional. The external ref-erence control pin (EXTRF) in Fig. 3 decides to use eitheron-chip or off-chip voltage references. With the EXTRF high,two voltage output nodes are in a high impedance state. Thismakes it possible to use off-chip references if needed. Thereference circuit has a power-off (POFF) mode for low-powerpotable applications. With the POFF set to high, the ADCpower consumption is reduced to 3 uW. With the POFF set tolow, the ADC returns to the normal active mode approximatelywithin 1 us. The IREF block in Fig. 3 generates on-chip refer-ence currents insensitive to the power supply and temperaturevariations. Simple on-chip RC filters, integrated with the refer-ences, considerably reduce the high-frequency switching noiseresulting from repeated charging and discharging operationsat the reference voltage outputs. These filters also minimize

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CHOI et al.: PROGRAMMABLE 0.8-V 10-BIT 60-MS/S 19.2-MW 0.13- M CMOS ADC 321

Fig. 3. Full CMOS on-chip current and voltage references.

Fig. 4. Bias current, sampling frequency, and supply voltage depending on thedata conversion-speed control code.

the settling time even at a maximum sampling rate, 100 MS/s,without large conventional off-chip decoupling capacitors withlevels of several microfarads.

C. Reference Current Biasing for Low-Voltage Amplifiers

As supply voltages are scaled down below 1.0 V, the low-frequency gain and output swing range of integrated amplifiersare considerably degraded. Decreased supply voltages result inthe reduced drain-source and overdrive voltages oftransistors, which decrease the corresponding saturation voltagemargin for signal amplification. The overdrive voltages can alsobe scaled down and optimized to obtain the required dc gain andsignal swing margin of amplifiers, but still affect the amplifierbandwidth. The programmable ADC, operating even at such alow supply voltage of 0.5 V, requires appropriate circuit biasingconditions as well as low-voltage amplifier architectures to tradeoff the dc gain, signal margin, and operating bandwidth.

In this work, the adjustable reference biasing currents for theamplifiers in the SHA, MDAC, and flash ADCs control and op-timize the sampling frequencies of the proposed ADC at a widerange of supply voltages from 0.5 to 1.2 V. As illustrated inFig. 4, the 3-bit digital code in the x axis adjusts the amplifierbias currents in the digital domain and finds the optimum sam-pling frequencies of the proposed ADC depending on supplyvoltage variations.

At the present time, a bias current scaling factor is consideredto be one of the primary issues for predictable ADC operation.The saturation conditions of transistors and the equation of drain

currents are summarized in (1) and (2), respectively. When (1)and (2) are correlated with the supply voltage VDD in the outputstage of the folded-cascode amplifier for high gain, the mutualrelation can be approximated as (3). As a result, the bias currentsand overdrive voltage can be scaled according to the square lawof as described

(1)

(2)

(3)

(4)

However, the current scaling needs to ensure the saturationvoltage margin of the transistors in the cascode stage of the first-stage amplifier simultaneously with the output swing margin ofthe second-stage amplifier. In this work, the overdrive voltage isdecided in order to obtain an optimum value at a typical supplyvoltage of 0.8 V, as shown in Fig 4. This is to guarantee a propersaturation margin and output swing margin even when operatingwith lower supply voltages at each optimum sampling rate.

With a proper condition for operating in low supply volt-ages, a high enough dc gain for 10-bit resolution needs to beensured as well. The proposed scheme guarantees a sufficientdc gain for 10-bit resolution because of the increased intrinsicoutput impedance, in spite of the decreased trans-conductancefollowed by the reduced of transistors. As a result, the am-plifier still maintains the required gain characteristic even atlow supply voltage conditions. The adjustable current biasingscheme is represented in Fig. 5.

The transistors to generate the bias currents are divided into8 branches (MP0 to MP7). These transistors are controlled bythree bandwidth control bits to decide the most suitable outputbias currents for the optimum sampling frequencies dependingon supply voltages. The simulation results of the amplifiers andmeasurement results of the prototype ADC are summarized withcomparisons in Table II.

The measured signal-to-noise-and-distortion ratio (SNDR)and spurious-free dynamic range (SFDR) of the prototype ADCdemonstrate the effectiveness of the proposed current biasingtechnique for low-voltage applications.

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322 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS, VOL. 55, NO. 4, APRIL 2008

Fig. 5. Current biasing for bandwidth adjustment of low-voltage amplifiers.

TABLE IISIMULATION RESULTS FOR THE AMPLIFIERS AND

MEASUREMENT RESULTS OF THE ADC

Fig. 6. All directionally symmetric capacitors for high matching accuracy.

D. All Directionally Symmetric Highly Linear Capacitors

The capacitor mismatch in the MDAC is very critical to theADC static and dynamic performances. Many inventive cali-bration techniques have overcome the device or capacitor mis-match problems of ADCs. However, most of the calibrationtechniques, with complicated algorithms, tend to increase chiparea, power consumption, and engineering cost [8], [9]. Thecapacitor mismatch can be reduced by layout techniques onlywithout additional calibration circuits [10]. The MDAC capac-itor layout proposed in this work for high matching is shown inFig. 6.

The proposed ADC uses only 4 metal lines to achieve low costin a 1P6M CMOS technology. The proposed MDAC capacitorsin Fig. 6 are based on a metal–insulator–metal (MIM) struc-ture. All the symmetric unit capacitors are enclosed by all othermetals except the metals for routing the top and bottom plates ofthe capacitors. Each unit capacitor has an identical environmentin all directions and achieves high capacitor matching accuracy.

Fig. 7. Chip photograph of the prototype ADC (1.20 mm� 0.82 mm).

Fig. 8. Measured DNL and INL.

In the previously published layout technique [10], both unit ca-pacitors and bottom-plate signal lines are isolated with all ofthe employed metal lines. This method enables capacitors to besurrounded physically in the same environment. However, somesignal lines passing through neighboring capacitors and unit ca-pacitors may have functionally different parasitic capacitancesfrom each other.

On the other hand, the proposed signal-isolated all direction-ally symmetric layout technique in Fig. 6 integrates additionalmetal lines between signal lines connecting the bottom platesof capacitors. This minimizes capacitor mismatch physicallyand functionally by isolating each unit capacitor from all of theneighboring signal lines. The conventional dummy capacitorssurrounding the whole unit-capacitor zone further reduce mis-match between unit capacitors caused by process variations. Theunit capacitor size of the MDAC is designed to be 100 fF withconsideration of the noise and the desired 10-bit capac-itor matching.

E. Switched-Bias Power Reduction in the Two Flash ADCs

The proposed ADC needs two sub-ranging flash ADCs,FLASH1 and FLASH2, generating coarse 5- and fine 6-bit dig-ital codes, respectively. The comparators in the FLASH1 andFLASH2 are composed of a two-stage pre-amplifier with anopen-loop offset sampling network and a latch for the requiredsampling speed and accuracy at a 0.5- to 1.2-V supply rangewith a 0.8-V differential reference voltage. The flash ADCsemploy a switched-bias power-reduction technique to minimizethe power consumption of the pre-amplifiers [11].

IV. PROTOTYPE ADC MEASUREMENTS

The prototype ADC is fabricated in a 0.13- m n-well 1P6MCMOS process as shown in Fig. 7. The prototype ADC occupiesan active die area of 0.98 mm and dissipates 19.2 mW at anominal operating condition, 0.8 V and 60 MS/s.

As illustrated in Fig. 8, the measured DNL and INL are within0.35 LSB and 0.49 LSB, respectively. The SNDR and SFDR in

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CHOI et al.: PROGRAMMABLE 0.8-V 10-BIT 60-MS/S 19.2-MW 0.13- M CMOS ADC 323

Fig. 9. Measured SFDR and SNDR versus (a) � and (b) � .

TABLE IIIPERFORMANCE SUMMARY OF THE PROTOTYPE ADC

Fig. 9(a) are measured with different sampling frequencies upto 70 MS/s at a 1-MHz input and a 0.8-V supply. The SNDRand SFDR are maintained over 56.0 and 69.6 dB, respectively,up to 60 MS/s. The SNDR and SFDR in Fig. 9(b) are measuredwith increasing input frequencies at a sampling frequency of 60MS/s and a 0.8-V supply voltage. As shown in Fig. 9(b), theprototype ADC maintains a SNDR and SFDR of over 50.9 and61.2 dB with input frequencies increased to 40 MHz for DVBand DMB applications.

V. CONCLUSION

This work proposes a programmable 10-bit two-stagepipeline ADC for battery powered mobile communicationapplications such as DVB-T, DVB-H, SDMB, and TDMB.

nMOS transistors, with a low-threshold voltage, are employedin the gate-bootstrapped input sampling switches and differ-ential input stage of the SHA based on a two-stage amplifier.The SHA amplifier consists of a folded-cascode architectureand a common-source topology with a tail current sourcein the first and second stages in order to obtain a high gainand wide signal-swing range, respectively, even at a 0.5-Vsupply. Full CMOS on-chip adjustable I/V references makethe ADC properly maintain the required dc gain and outputswing range of on-chip amplifiers at a supply voltage from0.5 to 1.2 V. Signal-isolated all directionally symmetric layoutand switched-bias power-reduction techniques minimize theMDAC capacitor mismatch and the power consumption of thecomparators in the flash ADCs. The proposed ADC operatesat a wide range of supply voltages ranging from 0.5 to 1.2 V.The sampling rate can be also changed from 10 to 100 MS/swith optimized reference currents. The prototype ADC showsa power consumption of 19.2 mW at a nominal condition of0.8 V and 60 MS/s, and an active die area of 0.98 mm whilemaintaining good differential and integral nonlinearity. Themeasured performance of the prototype ADC is summarized inTable III.

REFERENCES

[1] M. Yoshioka, M. Kudo, and T. Mori, “A 0.8-V 10-bit 80-MS/s 6.5-mWpipelined ADC with regulated overdrive voltage biasing,” in ISSCCDig. Tech. Papers, Feb. 2007, pp. 452–453.

[2] Y. D. Jeon, S. C. Lee, K. D. Kim, J. K. Kwon, and J. Kim, “A 4.7-mW0.32-mm 10-bit 30-MS/s pipelined ADC without a front-end S/H in90-nm CMOS,” in ISSCC Dig. Tech. Papers, Feb. 2007, pp. 456–457.

[3] K. Honda, F. Masanori, and S. Kawahito, “A 1-V 30-mW 10-bit100-MSample/s pipeline A/D converter using capacitance couplingtechnique,” in Symp. VLSI Circuits Dig. Tech. Papers, Jun. 2006, pp.276–277.

[4] H. Ishii, K. Tanabe, and T. Iida, “A 1.0-V 40-mW 100-MS/s pipelineADC in 90-nm CMOS,” in Proc. CICC, Sep. 2005, pp. 395–398.

[5] D. J. Huber, R. J. Chandler, and A. A. Abidi, “A 10-bit 160-MS/s84-mW 1-V subranging ADC in 90-nm CMOS,” in ISSCC Dig. Tech.Papers, Feb. 2007, pp. 454–455.

[6] S. C. Lee et al., “A 10-bit 205-MS/s 1-mm 90-nm CMOS pipelineADC for flat-panel display applications,” in ISSCC Dig. Tech. Papers,Feb. 2007, pp. 458–459.

[7] Y. J. Cho and S. H. Lee, “An 11-bit 70-MHz 1.2-mm 49-mW0.18-�m CMOS ADC with on-chip current/voltage references,”IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 10, pp.1989–1995, Oct. 2005.

[8] C. Grace, P. Hurst, and S. Lewis, “A 12-bit 80-MS/s pipelined ADCwith bootstrapped digital calibration,” in ISSCC Dig. Tech. Papers, Feb.2004, pp. 452–453.

[9] E. Siragusa and I. Galton, “A Digitally Enhanced 1.8-V 15-bit40-MSample/s CMOS Pipelined ADC,” IEEE J. Solid-State Circuits,vol. 39, no. 12, pp. 2126–2138, Dec. 2004.

[10] H. C. Choi, S. Bits. You, H. Y. Lee, H. J. Park, and J. W. Kim,“A calibration-free 3-V 16-bit 500 kS/s 6-mW 0.5-mm ADC with0.13-�m CMOS,” in Symp. VLSI Circuits Dig. Tech. Papers, Jun.2004, pp. 76–77.

[11] Y. J. Cho, D.-H. Sa, Y.-W. Kim, K.-H. Lee, H.-C. Choi, S.-H. Lee,Y.-D. Jeon, S.-C. Lee, and J.-K. Kwon, “A 10-bit 25-MS/s 4.8-mW0.13-�m CMOS ADC for digital multimedia broadcasting applica-tions,” in Proc. CICC, Sep. 2006, pp. 497–500.