dynamic element matching sigma delta

Upload: balthier8745

Post on 08-Aug-2018

222 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/22/2019 Dynamic element matching Sigma Delta

    1/4

    A NOVEL FULLY-DIFFERENTIAL CLASS AB FOLDEDCASCODE OTA FOR SWITCHED-CAPACITORAPPLICATIONS

    Mohammad Yavari and Omid ShoaeiIC Design Lab, ECE Department, University ofTehran, Tehran 14395-515, Iran

    E-mail: [email protected]

    ABSTRACTThis paper presents a new single-stage fully-differentialclass AB folded-cascode operational transconductanceamplifier (a TA) for low-voltage and fast-settlingswitched-capacitor circuits in pure digital CMOStechnology. The proposed aTA employs class ABoperation in both the input-stage and output current sourcetransistors resulting in large slew rate, enhanced unity-gainbandwidth and DC gain. The method to build the class ABoperation in the output current source transistors is verysimple which does not need any extra circuit and powerconsumption. HSPICE simulation results are presented toshow the usefulness of the proposed OTA's structure.

    1. INTRODUCTIONDesign of high performance analog circuits is becomingincreasingly challenging with the persistent trend towardreduced supply voltages. The main bottleneck in analogcircuits is the operational amplifier. Operational amplifiersare widely employed to drive large capacitive loads inmany switched-capacitor applications such as theintegrators, gain stages, etc. For high speed applications,fast-settling aTAs are required, which demand both highunity-gain bandwidth and slew rate. In class A aTAs theslew rate is limited by the bias currents. For example infolded-cascode aTA assuming equal currents of I b in bothinput and cascode transistors, the slew rate can beconsidered as SR = 2IbICL, where CL is the load capacitor.So, a trade-off exists between the static power dissipationand the slewing behavior of a class A aTA. However, inclass AB aTAs the slew rate is not limited by thequiescent currents since when a large input signal isapplied, large currents are generated provided that thecircuit is designed properly.In this paper a single-stage class AB folded-cascode aTAwhich employs class AB operation in both the input-stageand output current source transistors is proposed whichresults in large slew rate. This technique also enhances the

    OTA's unity gain bandwidth and DC gain. Section (2)presents the proposed OTA structure. In section (3) circuitsimulation results are discussed. Finally, conclusions arepresented in section (4).

    2. PROPOSED OTATOPOLOGYFigure 1 shows the proposed OTAstructure. It employs theclass AB operation in both input-stage and output currentsource transistors. To build the input-stage class ABoperation, the proposed OTA uses two matched inputtransistors M1 and M2 cross-coupled by two constantvoltage sources generated by two flipped voltage follower(FVF) cells acting as DC level shifters [1, 2, 6]. FVF cellscomposed of Mc1-Mc6 are used to build the floatingvoltage sources due to their very low output resistanceinstead of the conventional common drain structures [3].Under quiescent conditions, i.e. when no input signal isapplied, the gate voltage of input transistors M1 and M2 isthe same. In this case, VSGI = VSG2 = Vb, and bothtransistors carry equal currents which are controlled by Vb.Vb can be chosen slightly greater than the MaS thresholdvoltage which results in low quiescent currents. When aninput signal is applied, a large current is generated in oneof the input transistors. If for instance vin+ increases andvin- decreases, the source voltage ofM2 increases whereasthe voltage at the source of M1 decreases by the sameamount. So, the drain current of M1 decreases while thedrain current of M2 increases. Hence, the maximumcurrent of M1 and M2 is independent of quiescent currentwhen an input signal is applied.To build the class AB operation in the output currentsource transistors, the gates ofM9 and M10 are connectedto those of Mc6 and Mc5, respectively, which results inlarge currents to flow during the slewing in one of cascodebranches. If for instance, vin+ is greater than vin-, thedrain current of M1 will be decreased while the draincurrent of M2 will be increased by the same amount. Thedrain current ofMc5 will be increased, and so MIO, whilethe drain current ofMc6 and M9 will be decreased. On the

  • 8/22/2019 Dynamic element matching Sigma Delta

    2/4

    0.5 ' - - - ~ ~ ~ - - - - " - - ~ ~ ~ ~ _ ' _ _ _ _ _ ~ ~ ~ _ _ " _ _ _ _ ~ ~ ~ _ _ _ _ _ l

    are increased from gml,2 to about gml,2 + gm9,10 whichenhances the OTA's unity-gain bandwidth by the sameamount. It is worth mentioning that the class AB operationof the input-stage results in doubling the effectivetransconductance of input transistors, and hence doublingthe unity-gain bandwidth and DC gain.

    . , . \ :, \ Ii \1 - Vcmfb t I2 - - - - t-- -------- --- Vd (M 1)i I '. I -.-. Vd (M2)

    ~ i : \ :Q) 1.5 - - - -i--- -! - - - - - - - :- - - - - - - - - - - - - - -N ; I ! I (a) Io ;: ! : :> i I! I I1 __ j J_ ! J _

    --l I \ , " " " . _ . ~ .. . ; . _ - - - - _ - ~ - - - - - - - -- - ~ ~ - - ~ ~ ~ ~ ~ - I :- ~ ~ 7 ~ - - - - - - ~ - - - . . . . ; . . . - - - _ _ _ 4

    other hand, it can be also explained that the gate voltage ofM3 and M4, cmtb, will be increased due to the suddenincrement of the drain current and voltage ofM2 throughcoupling of the gate-drain capacitor of M4 as it is seen inFig. 2(a). The drain voltage ofM2 increases greatly due tothe enhancement of its drain current which results inraising the gate voltage of M3 and M4 through the gatedrain capacitance ofM4. So, the drain current of M3 andM4 will be increased as shown in Fig. 2(b). Hence, thecurrent ofMIO will be forced to the positive output node,vout+, and the negative output node will be discharged bythe current ofM3. It is worth to mention that the increaseddrain current of M4 will be provided by M2 since due tothe sudden increment of drain voltage ofM2, the transistorM6 will be forced to cut-off. A similar improvement in thevalue of slew rate is obtained when a large negative inputsignal is applied to the proposed OTA. Therefore, a largeslew rate will be obtained during both the positive andnegative OTA's slewings. 5 10

    Time (ns)15 20

    III- - - - - - 1- - - --1

    1.1 r - - ~ ~ ~ ~ - - ~ ~ ~ ~ ~ ~ ~

    A simple switched-capacitor common mode feedback(CMFB) circuit such as proposed in [5] is used to definethe common-mode voltage of output nodes of the proposedOTA.

    The proposed OTA has the lowest power supply voltagerequirement which is about VGS + V ef f where V ef f is thedrain-source saturation voltage of an MOS transistor. Toget a large output signal swing, a two-stage OTA can beutilized where the first stage can be the proposed OTA inthis paper and the second stage is a common-sourcetopology with a class AB operation. Cascode compensationand!or hybrid cascode compensation can be used tostabilize this two-stage OTA in fast-settling applications[4].

    Figure 2: (a) Drain voltages of M3 and M4 and cmfb nodevoltage, and (b) drain currents of M3 and M4 during the positiveslewing period.

    ~ 0.9vout+ .sc 0.8:::Ju 0.7

    0.60.5- 0 5 10 15 20

    Time (ns)Figure 1: The proposed OTA.

    If the gates ofM9 and MI0 are connected to a fixed biasvoltage, their currents will be remained fixed during theOTA's slewing. In this case, when a large positive inputsignal is applied to the OTA, the positive output node willbe charged only by the DC bias current of MIO. So, theslew-rate of the proposed OTA will be much larger thanthat of folded-cascode OTA which employs class ABoperation only in its input transistors.The class AB operation of output current sourcetransistors, M9 and MIO, also enhances the OTA's smallsignal DC gain and unity-gain bandwidth. When a smallsignal is applied to the OTA's input, this signal alsoappears across the gate-source of output current sourcetransistors, M9 and MI0 through the FVF buffer cells,which in tum results in enhancing the DC gain of OTA.Also the effective transconductance of the input transistors

  • 8/22/2019 Dynamic element matching Sigma Delta

    3/4

    The method to build the class AB operation in the outputcurrent source transistors is simply realized by properconnection between the input-stage and the output stagenodes with no extra transistors and power dissipation.

    I I I I80 - - - - - - - 1- - - - - - - ---l - - - - - - - -- _ - _ _ _ - - 1 - - -I 160 l . ; ; ~ ~ ~ ; . ~ . ~ . ~ . ~ : ~ : ~ ; ~ ; ; ~ : : - ~ : " _

    .. ,I 1 ' I 1co 1 I . ' . ~ , I 1~ 40 - - - - 1- - - - - - - I - - - - - - ' . ; ~ , - - - - - - - T - - -

    c : 1 t ~ , , , :20 - - - - - - - I - - - - - - - -j - - - - - - - --- ..", - - - T - - -, , I (a) I I 1\oJ 1 I I , , ~ , to 0 - - - - - - -1- - - - - - - --l _ - - __ - - --l - - - - _ - - -

    1 1 '. ',- Proposed OTA 1 t ' . , . ~ ,-20 - - - OTA2 -: - - - - - - - - - - - - ... -...... OTA1 1 1104 106Frequency (Hz)

    III

    t I- - - - - -+ - - - - - - - t - - - -

    I I 1I I II I 1t i l

    ______________I _ _ _ _ _ _ 1 _ _ _ _ _ _ _ L _ _ _I I(b) : . : - : : : ~ .

    I I 1 " 50 - - - - - - -1 - :- Proposed OTA 1 I 1 \___ OTA2 1 I 1 \I \ \,o OTA1 I 1 11 ~ 1 ~ 1 ~ 1 ~Frequency (Hz)

    Q) 150C)Q)~ 100ElcaEQ)en

    ca.r::.a..

    3. SIMULATION RESULTS

    Table 1: Circuit Parameters.

    To verify the usefulness of the proposed OTA, it wasdesigned using a 0.25Jlm BSIM3v3 level 49 mixed-signalCMOS models with HSPICE for a switched-capacitorintegrator with sampling and integrating capacitors of 2.5pF and 10-pF, respectively. The load capacitance was 10pF and 7.5-pF in AC open loop and transient closed loopsimulations, respectively. The designed device sizes andcircuit parameters are shown in Table 1. Figure 3 showsthe frequency response of the proposed OTA including theconventional folded-cascode OTA called OTAI here andthe folded-cascode OTAwith class AB operation only in itsinput-stage called OTA2 here. The settling performance ofall three simulated OTAs is shown in Fig. 4. A summary ofthe simulation results is shown in Table 2. In thesesimulations, equal values for the transistors' dimensionsand bias currents have been used. Simulation results showthat the proposed OTA achieves unity-gain bandwidth ofabout three times that of the conventional folded-cascode(OTAl) and about two times that of the folded-cascodeOTA employing class AB operation only in its input-stage(OTA2). Its settling time is much less than the other twotopologies due to its large slew rate and also unity-gainbandwidth. The proposed OTAalso achieves about 3.6-dBand 10-dB DC gain greater than the class AB input-stageand conventional folded-cascode OTAs, respectively. Theslew rate of class AB input-stage OTA is about the same asthat of the conventional folded-cascode since when apositive input signal is applied, its positive output node ischarged only by the bias current ofMl O.

    3505

    - Proposed OTA- - - OTA2OTA1

    15 20l ime (ns)10

    -0.4 l L - - _ - - - - - - - " - -__ --- '----__L----_---'-__ ---- !- . .- -_------ '__ --------o

    0.4~ Q) 0.2C )'0> 0: iQ.: i0-0.2

    Figure 4: Settling simulation results when a large positive stepsignal is applied to the inputs of the integrator.

    Figure 3: Frequency response simulation results: (a) DC gainand (b) phasemargin.arameter Proposed OTA OTA2 OTAI

    W/L)MI M2 5010.4 5010.4 5010.4(W/L)M3 M4 8010.5 8010.5 8010.5(W/L)M5 M6 4010.4 40/0.4 40/0.4(W/L)M7 M8 100/0. 5 100/0.5 100/0.5(W/L)M9 MIO 5010.5 5010.5 5010.5(WIL )Mel Me2 2010.25 2010.25 ---(W/L )Me3 Me4 2010.4 20/0.4 ---(WIL )Me5 Me6 6010.5 6010.5 ---(W/L) 11 --- --- 10010.5

    In this paper a novel fully-differential class AB foldedcascode OTA was proposed. The proposed OTA topologyoffers enhanced slew rate, unity-gain bandwidth, and DCgain by employing a simple technique to build the class ABoperation in the output current source transistors inaddition to using the conventional class AB input-stage.

    4. CONCLUSION

  • 8/22/2019 Dynamic element matching Sigma Delta

    4/4

    Table 2: Simulation results summary.

    ParameterProposed

    OTA2 OTAIOTADC gain (dB) 73.6 70 63.5

    Unity gain bandwidth (MHz) 94.3 52.6 30Phase margin (degree) 68.8 82.7 89.8Slew rate (V/J..ls) 197 56 57

    0.01 settling time (ns) 7.2 23.6 31.9Voo (V) 3 3 3

    Power dissipation (mW) 4.33 4.36 4.35

    5. REFERENCES[1] R. Castello and P. Gray, "A high-performance micropower

    switched-capacitor filter," IEEE J. Solid-State Circuits, vol.SC-20, no. 6, pp. 1122-1132, Dec. 1985.

    [2] S. Baswa, A. 1. Lopez-Martin, 1. Ramirez-Angulo, and R. GCarvajal, "Low-voltage micropower super class AB CMOSOTA," lEE Electronics Letters, vol. 40, no. 4, Feb. 2004.

    [3] 1. Ramirez-Angulo et aI., "The flipped voltage follower: auseful cell for low-voltage low-power circuit design," Proc.lSCAS, pp. 111615-618,2002.

    [4] M. Yavari and O. Shoaei, "Low-voltage low-power fastsettling CMOS operational transconductance amplifiers forswitched-capacitor applications," Proc. lSLPED, pp. 345348, Aug. 2003.

    [5] D. Johns and K. Martin, Analog integrated circuit design,JohnWiley& Sons, 1997.

    [6] V. Peluso, P. Vancoreland, M. Steyaert, a nd W. Sansen,"900mV differential class AB OTA for switched opampapplications" lEE Electronics Letters, vol. 33, no. 17, pp.1455-1456, 14th Aug. 1997.