A 1.5
-V 1
O-ppm/°C 2nd-Order Curvature-Compensated
CMOS
Bandgap Reference with Trimming
Sen-Wen
Hsiao,
Yen-ChihHuang
and DavidLiang
Hung-Wei
Kevin Chen and Hsin-Shu Chen Departmentof ElectricalEngineering Departmentof ElectricalEngineering and Graduate InstituteNational TaiwanUniversity of ElectronicsEngineering
Taipei,Taiwan National TaiwanUniversity
Taipei, Taiwan
hschengcc.
ee.ntu.edu.twAbstract-A2nd_ordercurvature-compensated CMOSbandgap reference circuit with a noveltrimming techniqueis described.
The 2nd_order curvature compensation is implemented by VDD using a temperature-dependent resistor ratio generated by a
poly resistor and a diffusion resistor. Atrimming technique
Lll
with digital switches is utilized to increase or decreaseresistance bi-directionally and therefore to minimize the
variance of resistance. The proposed voltage reference R4 R3 VREF
operates down to a 1.5 V supply and consumes a maximum
supply current of 55 gA. The experimental prototype circuit 'l
in a standard 0.35-gm CMOS process achieves a temperature R2
coefficient of 10ppm/!Candoccupiesan areaof 0.71mm2. 1 /
Keyword: CMOS bandgapreference,curvaturecompensation,
I
trimming,lowvoltage.
RI
IPTATI. INTRODUCTION
Q1{N)
Q2Aprecisionvoltage reference isalways essentialin many applications suchasdata andpower converters. To achieve
a precision voltage over a wide range oftemperature, the bandgap circuit is most frequently adopted. In CMOS
technology, a parasitic vertical bipolar junction transistor Fig. 1. Architecture ofthe CMOS bandgap reference. (BJT) formed in p- or n-wells isusually usedto implement
the bandgap circuit [1]. The emitter-base voltage of the
parasitic verticalBJThasanegativetemperature coefficient. In recent years, demands for low-voltage bandgap By compensating the temperature characteristics of the reference circuits have increased enormously due to emitter-base voltage, bandgap references can work over a widespread applications of portable electronic appliances. broad range of temperature. High-order compensation is Bandgap voltage reference works use either resistive generally utilizedto obtainalowtemperaturecoefficient[1]- subdivision or low threshold voltage devices to overcome the [3]. A
2nd_order
temperature-compensated bandgap low supply voltage issue [4], [5]. To operate under a low reference based on a temperature-dependent resistor ratio voltage environment, the restraint of opamp is significant scheme [3] is presented in this paper. The two different and should be considered. A pre-amplifier stage is utilized positive-temperature-coefficient resistors, poly resistor and in theopamp design to lower the limitation of supply voltage diffusionresistor, in CMOS process areused toimplement
in this design. It could be operated with a supply voltage the temperature-dependent resistor ratio. A newtrimming
down to 1.5 V.method is further utilized
fro
prcs deito wihuto preventany resistor ratio valuestrimmi In SectionII,
a briefanalysis
of thebandgap
fromuprocess.deviation
without anyexpensive
g architectureis introduced. The proposedtrimming technique is explained in Section III. The measured results arepresentedinSectionIV.
This work issupported by the National Science Council, Taiwan,R.O.C.
VDD 2nd -order temperature compensation of the bandgap
4 . 4,i, reference can beachieved.
| |Vbias je
Vdsp(sat)j
B. LowVoltage Opamp
Design- j
~~~~~The
minimumsuppiy
voltage
is limitedby
the two-Al
'I 'IT 1 factors[4].
The Ist factor is the referencevoltage
around,M9 M10 1.25 V. As shown in
Fig. 1,
thesupply voltage
is limitedby
Vout
lVgspl
+ l.,__+ ~~~~~~~~VDD>VREF +
IVdsp(sat)
.(3)
The2ndfactor is
low-voltage design
of
IPTATgeneration loop
Vin- , Vin+ limited by the common-collector structure of the parasiticj-Vdsn(sat)j
lF|pvertical
BJT and theinput
common-modevoltage
of the e M1' , e M2'1opamp.
amplifier input
The opamp is therefore designed with an nMOS pre-stage
(Ml',
M2',
M3 andM4)
followedby
apMOS
differential-pair
stage
(MI
and\2)
forlow-voltage
17 1 M51 - 1M6 1 M8 operation of the bandgap circuit. It is illustrated in Fig. 2.
The lower limitation of supply voltage can beexpressedas
Fig. 2. Opamp with a pre-amplifier input stage. VDD > Vdsn(sat)+ Vgsp + Vdsp(sat)
1.
(4)VDDis allowedtogounder1.5 Vwithproperdesign.
II. BANDGAP REFERENCE VDD
A. Curvature-CompensatedCMOSBandgap Reference
The architecture of the bandgap reference circuit is Q 1
12+13
illustrated in Fig. 1. By compensating the emitter-base voltage ofQ2, a stable voltage reference over a wide range oftemperaturecould begenerated. Acurrent proportionalto
absolute temperature, IPTAT, is produced and used to a
compensate the negative temperature coefficient of the
emitter-base voltage through the negative feedbackeffect of VR (+(
12)
R R12
theopamp. IPTATcanbepresentedas , b
I kT-T 12 13
1PTAT = RqIn(N)
where k is the Boltzmann's constant, q is the charge ofan electron, andNis the emitter-area ratio ofQI andQ2. The
two different resistors are both with positive temperature Fig.3. ConceptualoperationoftrimmingforincreasingR. coefficients. RI, R2,andR4arepoly resistors whileR3isa
P+ diffusion resistor.
When
IPTAT passes through tworesistors of different materials, R2 and R3, the reference VDD
voltage,VREF, canbe derivedby
FR2 R(T 1 kT
Ii~~~~~~~~~~~~~1
12+13VREF =
VEB2
+ 3+ ln(N) +EB2[R1
R1(T0)
(2)R3(T) (K*( -K ).ln(N). k T-(T-T)
VR=(1112)-R
aRI(T0) pdiff poyq >
where VEB2 the emitter-base voltage of Q2,
TO
is the 1 b 1referencetemperature,
K0ol,
is thetemperature coefficient ofpoly resistor, and Kpdiff is the temperature coefficient ofP± I diffusion resistor. Due to the temperature coefficient
difference between the two resistors of different materials, a =
Fig. 4. Conceptual operation of trimming fordecreasing R.
factor in deciding the effect ofcompensation and therefore theperformance ofthebandgap reference. Inorderto ensure
the two ratios are correct, a new trimming technique is (
ID)I1
proposed.
Instead of conventional resistortrimming,
e.g.S + laser cut, to adjustthe voltage across the trimmed resistor, currents over the resistors are controlled
by
switches torl obtain the same effect. Only the resistor, R3, that involves in S2 both coefficients of the 1st-order and the
2nd_order
terms is12+13 trimmedinour
design.
< r2 i
s3
A. Principles ofthe TrimmingMethodr3 As shown inFig. 3, R is the resistorto be trimmed and
S4 there isacurrent II (i.e.IPTATinourdesign), flowing through it originally. When trimming occurs by controlling digital
r4
switches,
an extra current 12 is added into this resistorS5 12 segment. Therefore, the voltage across R changes from
RI11
to R
(11+12), namely,
aresistance value ofR12/11 is added.0 r5 In addition, a
current
mirrormust be usedtomake 12 leaveS6< the pathafter flowing through R to ensure the extra current
12 13 could onlyaffect the "trimmed" resistor R.
S15 When decrease on resistance is required, instead of
j -
adding
current 12 on the resistorR,
current should berl5 subtracted.
Current
subtraction can be implemented byS16 S reversingthe current direction of
12
between nodes a and basshowninFig. 4. Thecurrentpassing throughRwouldbe 11 decreased from
I1
to11-12.
Hence the resistance value ofthe"trimmed" resistorRis subtractedbyRI2/I1.
Fig.5. Implementation ofthe trimmed resistor R3
B.
Implementations of
TrimmedResistor and CurrentThetwo factors that affect the accuracyof thetrimming VDD technique are the trimmed resistance and the extra
current
through
thesegment.
There are two methods that areimplemented
tocontrol theefficiency
of these two factors inour
design.
Vout Wp/Lp 2(Wp/Lp) 3(Wp/Lp) Wp/Lp In order to increase the precision of the trimming technique on resistance, R3 is practically divided into 15
12 CHI CH2 CH3 small segments with 16 switches,
SI
toS16,
as illustrated in Fig. 5. Only one switch would beturnedon amongthese 16R3 13 switches whenever
trimming
isapplied. Comparing
with- .v one resistor segment only, the precision can be enhanced by
CHI CH2 CH3 15 times. The switches S+ and
S-
are used to control12 CH2 CH3 whether the resistance is
required
to be increased ordecreased.
Toexpand theviability and precision of theextracurrent 12, 12 is practically composed of three channels ofcurrents controlled
by
current
mirrors with the ratio1:2:3 asshowninFig.
6.Using
theoutput,
Vout,
of the opamp to bias theWn/Ln 2(Wn/Ln)
3(Wn/Ln)
Wn/Ln mirrored transistors and setting switches CHI, CH2, and CH3 to control each channel, a combination ofcurrents
from one-unitcurrent
to six-unitcurrent
canbe realized.Fig. 6. Implementationofthe trimmed current12. Ifthe unit extra current is i and each small segment has resistance r, the available trimming range could vary from III. TRIMMING TECHNIQUE
±90
The total trimmed resistor is aiPr
to -90iPr
by using the two methods described above. fraction ofR3;
while the total Based on equation (2), the accuracy of the ratios ofR2/R1±
trimmed current is a fraction ofIPTAT
because the output ofR3(T0)/R1(T0)
andR3(T0)/R1(T0)
is the most important 567the opamp is used to mirror the trimmed transistors. After 1.12 VDD
1.5
vtrimming,
the referencevoltage,VREF,would
become 1.115 1.11VREF V
~
LR1 +R(Ta)
a.(n(N))
k1+
R3
(TO
) (+k T ) . (.0951.(I+a-, -(K -K )ln(N). ~-(T* -T)
RI(TO) pdiff poly q 1.0
where ux and f
represent
the trimmed fractions of R3 and 20 30 40 50 60 70 80 90 100IPTAT,
respectively.
*
notrimming -i-trimming (°C)T IV. MEASUREMENT RESULTS Fig. 8. Measured temperature dependence with VDD=1.5 V
The proposed bandgap reference circuit in Fig. 1 with trimming techniques mentioned above is implemented in 0.35-pm CMOStechnology. The chip micrograph is shown
inFig.7withan areaof0.71
mm2
. The measured resultsare V. CONCLUSIONillustratedinTable
I.
Alow-voltage2nd
-order curvature-compensated bandgap8 shows the
temperature
dependence
of the reference circuit with a newtrimming technique is proposed with aig.
w s v of 1 performance of 10 ppm/ 0C at supply voltage 1.5 V. Thevoltge wthsppl volage f 1. V. Whenoperted
technique
makes thechip
adjustable and each state can be withouttrimming,
the measuredtemperature coefficient is63ppm/
0C and the referencevoltage
is 1.112 V. After restoredby
therespective digital input. With
thetrimming
trimming,
the measured temperature coefficient goes down mechanism onresistances,
a mismatch on resistance intoIOppm/
'C.
The supplycuffentis5 5~tA.
process canbeeffectively
corrected and therefore benefit theto 10 ppm! 0C.The supply current is 55 ~iA.
performance
ofa curvature-compensated bandgap reference circuitenormously.
ACKNOWLEDGMENT
The authors would like to thank Taiwan
Chip
Implementation Center and Dr. Poki Chen for support and assistance.REFERENCES
[1] B. -S. Song and P. R. Gray, "A precision curvature-compensated
CMOS bandgap reference,"IEEEJournal of Solid-State Circuit,vol. C-18Ipp.63-643 Dec.193
[2] J. M. Audy, "3rd ordercurvature correctedbandgap cell," inProc. 38th MidwestSymp. Circuits and systems, vol. 1, 1996, pp. 397-400. Fig.7. Chip micrograph ofthe bandgap voltage reference [3] K. N. Leung, P. K. T. Mok, and C. Y. Leung, "A 2-V23-giA
5.3-ppm/°C curvature-compenstated CMOS bandgap voltage reference," IEEEJ.Solid-StateCircuits, vol. 38,no.3, pp. 561-564,Mar.2003. TableI. Summaryofthe measured results [4] K. N.
Leung,
and P. K. T.Mok,
"A sub-1-V 15-ppm/°C CMOSbandgap voltagereference without requiringlow threshold voltage
Technology CMOS 0.35-,um device," IEEE J. Solid-State Circuits, vol. 37, no. 4, pp. 526-530,
Apr.2002.
Supply voltage 1.5V [5] H. Banba, H. Shiga, A.
Umezawa,
T. Miyaba, T. Tanzawa, S. Atsumi, Referencevoltage 1.112V and K. Sakui, "A CMOS bandgap reference circuit with sub-1-V operation," IEEEJ. Solid-StateCircuits, vol. 34, pp. 670-674, May Temperaturecoefficient 10ppm/°C 1999.Chiparea 0.71 mm2
Supplycurrent 55 ,uA