Method for generating a substantially temperature independent current and device allowing implementation of the same

Information

  • Patent Grant
  • 6459326
  • Patent Number
    6,459,326
  • Date Filed
    Thursday, June 7, 2001
    24 years ago
  • Date Issued
    Tuesday, October 1, 2002
    23 years ago
Abstract
A method and a device for generating a substantially temperature independent current (I1) are described. To generate this current (I1), a conventional current generator circuit including an operational amplifier (11) controlling a transistor (12) having one (12a) of its current electrodes (12a, 12b) connected to a resistor (13) and to an input terminal (11b) of the operational amplifier (11), is used. According to the invention, a temperature stable input voltage (Vin) is applied at the other input terminal (11a) of the operational amplifier (11), and the latter is arranged so that it has an offset voltage (Vos(T)) between its input terminals (11a, 11b) having a temperature dependence, this offset voltage (Vos(T)) and the input voltage (Vin) being adjusted to compensate for the temperature dependence of the resistor (13) such that the current generated (I1) is substantially temperature independent. According to the invention, the geometry of the differential pair of the operational amplifier (11) is acted upon to generate the offset voltage (Vos(T)).
Description




The present invention concerns generally the field of current generator circuits. More particularly, the present invention relates to a method for generating a substantially temperature independent current and a device allowing implementation of the same.




Current generator circuits, commonly known by the name of “current sources” or “current sinks” are important elements in the design of numerous electric and electronic circuits.

FIG. 1

shows an example of a current generator circuit of the prior art globally designated by the reference numeral


10


. This current generator circuit


10


constitutes a voltage controlled current generator circuit.




Current generator circuit


10


typically includes amplifying means formed of an operational amplifier or differential amplifier


11


, a transistor


12


and a resistor


13


. Operational amplifier


11


includes a positive input terminal (non inverting input)


11




a


at which is applied an input voltage designated Vin, a negative input terminal (inverting input)


11




b


and an output


11




c


. Amplifying means


11


supplies a voltage at its output


11




c


in response to a difference between the voltages applied respectively to its first and second input terminals


11




a


and


11




b.






Transistor


12


is formed in this example of an n-MOS field effect transistor whose gate


12




c


is connected to the output


11




c


of operational amplifier


11


. Source


12




a


of transistor


12


is connected to negative input


11




b


of operational amplifier


11


and to a first terminal of resistor


13


. The other terminal of resistor


13


is connected to a supply potential or reference potential Vss. This reference potential Vss is typically defined as the most negative potential of the circuit or the circuit's earth at 0 volts. Another supply potential Vdd (not illustrated in

FIG. 1

) is also provided. Potentials Vss and Vdd constitute supply voltages for the circuit, and particularly for operational amplifier


11


.




According to the current generator circuit of

FIG. 1

, a current designated


11


passes through the drain-source branch


12




a


-


12




b


of MOS transistor


12


. The analysis of this circuit is direct. Operational amplifier


11


modifies the voltage at its output


11




c


such that the voltage present at its negative input


11




b


is substantially equal to the voltage present at its positive input


11




a


, i.e. substantially equal to input voltage Vin. The voltage across the terminals of resistor


13


is thus substantially equal to input voltage Vin, such that current


11


passing through the drain-source branch of MOS transistor


12


is given by:









I1
=

Vin
R





(
1
)













where R is the value of resistor


13


. Generated current I


1


is thus proportional to input voltage Vin applied at positive input


11




a


of the operational amplifier.




Current generator circuit


10


of

FIG. 1

forms a “current sink”, i.e. a current I


1


is drained from drain


12




b


of transistor


12


towards the most negative potential Vss. A modification of circuit


10


of

FIG. 1

allows a current source to be formed.

FIG. 2

illustrates a generator circuit designated


20


showing such a modification. Identical reference numerals are used to indicate those elements which have already been presented, i.e. operational amplifier


11


, MOS transistor


12


and resistor


13


.




In addition to the elements already mentioned, generator circuit


20


of

FIG. 2

typically includes a current mirror


30


formed of first and second p-MOS field effect transistors respectively designated


31


and


32


. Sources


31




a


and


32




a


of transistors


31


and


32


are connected to the most positive supply potential Vdd. Gate


31




c


and drain


31




b


of transistor


31


are connected together to drain


12




b


of transistor


12


and gate


32




c


of transistor


32


is connected to gate


31




c


of transistor


31


.




Current mirror


30


thus operates so as to “copy” current


11


and generate a current which is the image of current I


1


in the drain-source branch of transistor


32


. In accordance with what is typically known in the field, a proportionality factor can be introduced into the mirror by a suitable choice of the channel width to length ratios W/L of MOS transistors


31


,


32


in order to multiply or divide current I


1


.




Circuit


20


of

FIG. 2

may of course be further modified so that the current mirror includes other branches, for example a third MOS field effect transistor


33


as indicated in

FIG. 2

in order to generate a third current


13


.




One problem of the current generator circuits illustrated in

FIGS. 1 and 2

lies in particular in the temperature dependence of the currents generated. Typically, a temperature stable voltage such as a reference bandgap voltage approximately equal to 1.2 volts is used as input voltage Vin. This reference bandgap voltage has a relative low temperature dependence of the order of 50 ppm/°C.




In order to make resistor


13


, it is also sought to use a resistor whose temperature coefficient is relatively low. For design reasons, it is also sought to make resistor


13


in an integrated form and to avoid using a resistor external to the circuit. Various solutions exist in CMOS technology to design integrated resistors. It can however be noted that the temperature coefficients of these integrated resistors remains relatively high with respect to the temperature stability of a reference bandgap voltage. By way of example, an integrated resistor of the Rpoly type, i.e. an integrated resistor formed of a polysilicon layer, typically has a temperature coefficient of the order of +0.07%/°C., namely a temperature coefficient which remains substantially significant with respect to the stability of a reference bandgap voltage.




Those skilled in the art quickly note that there is no satisfactory way available, in CMOS technology, of making integrated resistors with sufficiently low temperature coefficients. With the aim of making a current generator circuit of the aforementioned type, the current generated by means of such a circuit will thus have a temperature dependence essentially due to the temperature dependence of the integrated resistor used.




A general object of the present invention is thus to propose a method for generating a substantially temperature independent current by means of a current generator circuit of the aforementioned type.




Another object of the present invention is to propose a device allowing the aforementioned method to be implemented, namely a current generator circuit overcoming the drawbacks encountered with the use of integrated resistors and arranged to generate a substantially temperature independent current.




A further object of the present invention is to propose a solution which involves only a few modifications to the current generator circuit and which consequently proves simple and inexpensive to manufacture with respect to the already existing solutions.




In order to answer these objects, the present invention first concerns a method for generating a substantially temperature independent current the features of which are listed in claim


1


.




The present invention also concerns a current generator circuit the features of which are listed in claim


5


.




The present invention relies on the observation by the inventor of the possibility of compensating for the temperature dependence of the current due to the resistor used by acting on the geometry of the differential pair of transistors of the operational amplifier used, in order to intentionally generate an offset voltage between the input terminals of the operational amplifier, this offset voltage being adjusted to have a temperature dependence compensating for the temperature dependence of the resistor used.




Indeed, the inventor was able to observe that by arranging the operational amplifier so as to create a geometric imbalance between the two transistors of the differential pair of said amplifier, an offset voltage between the input terminals of the amplifier was generated, this offset voltage having a substantially linear temperature dependence able to be adjusted by working with the geometry of the transistors of the differential pair, in particular by the bias of their dimensional channel width over length ratio W/L.




One advantage of the present invention lies in the simplicity of its implementation and in the low modification cost. Moreover, the offset voltage of the operational amplifier can be adjusted to have independently a positive or negative temperature coefficient according to whether one acts on one or the other of the transistors of the differential pair. It is thus possible to compensate for the temperature dependence of resistors having either a positive or a negative temperature coefficient.











Other features and advantages of the present invention will appear more clearly upon reading the following detailed description, made with reference to the annexed drawings, given by way of non limiting examples in which:





FIG. 1

, which has already been presented, shows a schematic example of a current generator circuit of the prior art forming a current sink;





FIG. 2

, which has already been presented, shows a schematic example of a current generator circuit of the prior art forming a current source;





FIG. 3

shows a first schematic example of an operational amplifier or differential amplifier able to be used within the scope of the present invention;





FIG. 4

shows another schematic example of an operational amplifier or differential amplifier also able to be used within the framework of the present invention; and





FIG. 5

shows an implementation example of the present invention including a resistive divider at the positive input of the operational amplifier in order to derive a suitable input voltage from a temperature stable reference voltage, such as a bandgap voltage.











Within the framework of the present invention, reference is made to a current generator circuit in accordance with the illustrations of

FIGS. 1 and 2

. These constituent elements of this current generator circuit which have already been presented in the preamble will not be described again in detail and reference will simply be made to the references of

FIGS. 1 and 2

which have already been discussed.




What is meant by “differential pair” within the framework of the present invention will now be defined. Operational amplifiers or differential amplifiers typically have a pair of transistors mounted in a differential arrangement and wherein the control electrodes are respectively connected to the input terminals of the amplifier.




By way of illustration,

FIG. 3

shows a schematic example of a differential amplifier able to be used as amplifying means


11


of the current generator circuit according to the invention.




The operational amplifier illustrated in

FIG. 3

, globally designated by the reference numeral


11


according to the illustrations of

FIGS. 1 and 2

, thus includes a differential pair of transistors, designated


110


, including two p-MOS transistors


111


and


112


the sources


111




a


and


112




a


of which are connected to each other. The gates


111




c


and


112




c


of the transistors of differential pair


110


form respectively the input terminals


11




a


and


11




b


of operational amplifier


11


.




The sources


111




a


and


112




a


of the transistors of differential pair


110


are connected to drain


113




b


of a p-MOS transistor


113


whose source


113




a


is connected to supply potential Vdd. The gate


113




c


of this transistor


113


is controlled by a polarisation voltage VBIAS.




Operational amplifier


11


of

FIG. 3

, further includes two current mirrors


121


and


124


each including two n-MOS transistors


122


and


123


, respectively


125


and


126


. Sources


122




a


,


123




a


,


125




a


and


126




a


of these transistors are connected to the supply potential or earth Vss. The gates


122




c


and


123




c


of transistors


122


,


123


and drain


122




b


of transistor


122


are together connected to drain


111




b


of first transistor


111


of differential pair


110


. Likewise, gates


125




c


and


126




c


of transistors


125


,


126


and drain


125




b


of transistor


125


are together connected to drain


112




b


of second transistor


112


of differential pair


110


.




Finally, operational amplifier


11


of

FIG. 3

also includes another current mirror


130


including two p-MOS transistors


131


and


132


. Sources


131




a


and


132




a


of these transistors are connected to supply potential Vdd whereas drains


131




b


and


132




b


are respectively connected to drains


126




b


and


123




b


of transistors


126


and


123


of current mirrors


124


and


121


. Moreover, gates


131




c


and


132




c


of transistors


131


and


132


and drain


131




b


of transistor


131


are connected to each other. Output


11




c


of the operational amplifier is formed of the connection node between drain


132




b


and drain


123




b


of transistor


123


.




By way of second illustration,

FIG. 4

shows schematically another example of an operational amplifier able to be used as amplifying means


11


of the current generator circuit according to the present invention.




The operational amplifier illustrated in

FIG. 4

, globally designated by the reference numeral


11


in accordance with the illustrations of

FIGS. 1 and 2

, thus includes a differential pair of transistors, designated


210


, including two p-MOS transistors


211


and


212


the sources


211




a


and


212




a


of which are connected to each other. The gates


211




c


and


212




c


of the transistors of differential pair


210


form respectively the input terminals


11




a


and


11




b


of operational amplifier


11


.




The sources


211




a


and


212




a


of the transistors of differential pair


210


are connected to the drain


213




b


of a p-MOS transistor


213


whose source


213




a


is connected to supply potential Vdd. The gate


213




c


of this transistor


213


is controlled by a polarisation voltage VBIAS.




Operational amplifier


11


of

FIG. 4

, further includes a current mirror


220


including two n-MOS transistors


221


and


222


. The sources


221




a


,


222




a


of these transistors are connected to the supply potential or earth Vss. The gate


221




c


and


222




c


of transistors


221


,


222


and drain


222




b


of transistor


222


are together connected to drain


212




b


of the second transistor


212


of differential pair


210


. Drain


221




b


of transistor


221


is connected to drain


211




b


of the first transistor


211


of differential pair


210


.




Operational amplifier


11


of

FIG. 4

further includes a branch connected between the supply potentials Vdd and Vss including a p-MOS transistor


231


and an n-MOS transistor


232


. Source


231




a


of transistor


231


is connected to supply potential Vdd, whereas gate


231




c


of this transistor is connected to polarisation voltage VBIAS. Source


232




a


of transistor


232


is connected to ground potential Vss whereas gate


232




c


of this transistor is connected to the connection node between drain


211




b


of transistor


211


of the differential pair and drain


221




b


of transistor


221


of current mirror


220


. Drains


231




b


and


232




b


of transistors


231


and


232


are connected to each other and form output


11




c


of the operational amplifier.




The operational amplifiers illustrated in

FIGS. 3 and 4

are only given here by way of non limiting example in order to illustrate the concept of the present invention. It goes without saying that other embodiments of operational amplifiers allowing the objects of the present invention to be answered may be envisaged by those skilled in the art.




Whether one of the examples of operational amplifiers from

FIGS. 3 and 4

, or another similar operational amplifier is selected, it is assured, according to the present invention, on the one hand that the operational amplifier works in weak inversion, i.e. the transistors of the differential pair of operational amplifier


11


operate with a lower gate-source voltage than the threshold voltage of these transistors.




In order to assure that the operational amplifiers of

FIGS. 3 and 4

operate in weak inversion, one acts for example on the current generated by transistor


113


, respectively


213


, of the operational amplifier (see

FIG. 3

or


4


) by the bias of the polarisation voltage VBIAS applied at gate


113




c


, respectively


213




c


, of the transistor. By acting like this to make the operational amplifier operate in weak inversion, one assures, as will be seen hereinbelow, substantially linear behaviour of the offset voltage generated.




According to the present invention, operational amplifier


11


is arranged on the other hand so that it has an offset voltage Vos(T) between its first and second input terminals


11




a


,


11




b


having a temperature dependence. This offset voltage Vos(T) is adjusted according to the present invention to have a temperature dependence allowing the temperature dependence of resistor


13


to be compensated for.




In order to generate this offset voltage Vos(T), one can act directly on the dimensional channel width to length ratio W/L of each transistor of the differential pair. More specifically, offset voltage Vos(T), in weak inversion, can be expressed in the following form:










Vos


(
T
)


=


kT
q


ln





X





(
2
)













where









X
=



(

W
/
L

)

2



(

W
/
L

)

1






(
3
)













T being the absolute temperature in degrees Kelvin.




Factors (W/L)


1


and (W/L)


2


are defined as the channel width to length ratios W/L of the transistors forming the differential pair of operational amplifier


11


.




It can easily be seen from expression (2) that voltage Vos(T) has a substantially linear temperature dependence. Moreover, depending upon whether one acts on the dimensional ratios W/L of one or other of the transistors of the differential pair, it will be understood that an offset voltage Vos(T) having a positive or negative temperature coefficient can be generated.




By way of example, by a choice such that the W/L dimensional ratio of each transistor of the differential pair results in ratio X of expression (3) being substantially equal to 16, the offset voltage Vos(T) has a value, at a temperature of the order of 300° K, of approximately 72 mV with a temperature coefficient of approximately +0.24 mV/°K.




Expression (2) above can also be rewritten as follows:








Vos


(


T


)=


Vos,o


+β(


T−To


)  (4)






where Vos,o is the value of the offset voltage at a given temperature To, for example 300° K, and β is the temperature coefficient in V/°K. of the offset voltage.




From (2) to (4) it can easily be seen that:









β
=


k
q


ln





X





(
5
)













and






Vos,o=βTo  (6)






Taking account of the presence of offset voltage Vos(T), expression (1) of current I


1


generated by the current generator circuit then becomes:









I1
=


Vin
+

Vos


(
T
)




R


(
T
)







(
7
)













Resistance R as a function of the temperature can be expressed as follows:








R


(


T


)=


Ro


(1+α(


T−To


))  (8)






where Ro is the resistance value at given temperature To and α is the temperature coefficient of the resistance in °K


−1


.




From (4), (7) and (8), one thus reaches the conclusion that to generate a substantially temperature independent current II, it is necessary for the following expression to be substantially satisfied:










β


Vin
+
Vos

,
o


=
α




(
9
)













By way of example, in order to compensate for a resistance temperature coefficient of the order of +0.1% °K


−1


by means of a differential amplifier whose differential pair has a ratio X, according to expression (3) hereinbefore, with a value of substantially 16, i.e. with Vos,o=72 mV and β=0.24 mV/°K, a voltage Vin with a value of substantially 168 mV allows expression (9) hereinbefore to be satisfied.




In order to generate such an input voltage, it is for example possible to divide a temperature stable reference voltage such as a bandgap voltage V


BG


of a suitable factor, for example by a resistive divider R


1


, R


2


as illustrated in FIG.


5


. Advantageously, one should be able to adjust the division factor of bandgap voltage V


BG


, for example by means of an adjustment of the value of one of resistors R


1


, R


2


of the resistive divider, for example by means of an adjustable resistor R


2


.





FIG. 5

thus shows a schematic example of an implementation of the present invention forming a current source. This current source is substantially similar to the conventional current source illustrated in FIG.


2


. The elements which are already present in

FIG. 2

, namely operational amplifier


11


, MOS transistor


12


, resistor


13


and current mirror


30


allowing a second current


12


which is the image of current I


1


flowing through the drain-source branch of transistor


12


to be generated, will not be described again.




As already mentioned, the circuit of

FIG. 5

includes a resistive divider including two resistors R


1


and R


2


connected in series between, on the one hand, a temperature stable reference voltage, such as a bandgap voltage V


BG


, and, on the other hand, the supply voltage or ground Vss. The positive input


11




a


of operational amplifier


11


is connected between resistors R


1


and R


2


so that the value of input voltage Vin applied at input terminal


11




a


is determined in a ratio R


1


/R


2


of reference voltage V


BG


. The values of resistors R


1


and R


2


are determined to generate a suitable input voltage Vin allowing the desired objective, which was discussed fully previously, to be satisfied.




It will of course be noted that the resistive divider formed of resistors R


1


, R


2


in no way affect the temperature stability of reference voltage V


BG


. It will further be noted that those skilled in the art can perfectly well envisage other equivalent solutions allowing the bandgap reference voltage V


BG


to be divided to produce a suitable value for input voltage Vin, for example by means of a capacitive divider.




It will be understood that various modifications may be made to the method and the device described in the present description without departing from the scope of the invention. In particular, it will be recalled that the examples of operational amplifiers of

FIGS. 3 and 4

able to be used and modified according to the present invention to answer the problem posed are in no way limiting and that any other operational amplifier able to operate in weak inversion may be used within the framework of the present invention.



Claims
  • 1. A method for generating a current including the steps of:(a) providing a current generator circuit coupled to first and second supply voltages, wherein said current generator circuit comprises: amplifying means for providing a control voltage at an output of said amplifying means in response to a difference between first and second input voltages applied respectively to first and second input terminals of said amplifying means; a first transistor having a first current electrode, a control electrode connected to said output of the amplifying means to receive said control voltage, and a second current electrode coupled to said second supply voltage; and means forming a resistor having a first terminal connected to said second input terminal of the amplifying means and to said first current electrode of said transistor, and a second terminal connected to said first supply voltage, this resistor means having a resistance value having a temperature dependence; (b) providing said control voltage at the output of said amplifying means in response to the difference between the first and second input voltages; and (c) generating with said current generator circuit a first current through said first and second current electrodes of said first transistor which is substantially proportional to said first input voltage, wherein said first input voltage is a substantially temperature stable voltage, wherein said amplifying means is operated in weak inversion, and wherein said amplifying means in arranged such that amplifying means has an offset voltage between said first input voltage being adjusted to compensate substantially for the temperature dependence of said resistor means such that said generated first current is substantially temperature independent, wherein said amplifying means is an operational amplifier including differential pair of transistors whose control electrodes form respectively said first and second input terminals of the amplifying means, and wherein said offset voltage is generated by acting on the channel width to length ratio W/L of the transistors of said differential pair.
  • 2. A method according to claim 1, wherein said offset voltage is given by the following expression: Vos⁡(T)=kTq⁢ln⁢ ⁢Xwhere X=(W/L)2(W/L)1(W/L)1 and (W/L)2 being defined as the channel width to length ratios W/L of the transistors forming said differential pair, the factor X and said first input voltage being adjusted to compensate for the temperature dependence of said resistor means so that said first current given by the following expression: I1=Vin+Vos⁡(T)R⁡(T)is substantially temperature independent.
  • 3. Current generator circuit coupled to first and second supply voltages including:amplifying means for providing a control voltage to an output of said amplifying means in response to a difference between first and second input voltages applied respectively to a first and second input terminals of said amplifier means; a first transistor having a first current electrode, a control electrode connected to said output of the amplifying means to receive said control voltage, and a second current electrode coupled to said second supply voltage; and resistor means having a first terminal connected to said second input terminal of the amplifying means and said first current electrode of said transistor, and a second terminal connected to said first supply voltage, this resistor means having a temperature dependence, third current generator circuit generating a first current through said first and second current electrodes of said first transistor which is substantially proportional to said first input voltage, wherein said first input voltage is a substantially temperature stable voltage, and said amplifying means is arranged to operate in weak inversion and has an offset voltage between said first and second input terminals having a temperature dependence, this offset voltage and said first input voltage being adjusted to compensate for the temperature dependence of said resistor means such that said generated first current is substantially temperature independent, wherein said amplifying means is an operational amplifier including a differential pair of transistors whose control electrodes form respectively said first and second input terminals of the amplifying means, and wherein the geometry of said differential pair of transistors is arranged to generate said offset voltage, said offset voltage being generated by acting on the channel width to length ratio W/L of the transistors of said differential pair.
  • 4. A current generator circuit according to claim 3, wherein said offset voltage is given by the following expression Vos⁡(T)=kTq⁢ln⁢ ⁢Xwhere X=(W/L)2(W/L)1(W/L)1 and (W/L)2 being defined as the channel width to length ratios W/L of the transistors forming said differential pair, the factor X and said first input voltage being adjusted to compensate for the temperature dependence of said resistor means so that said first current given by the following expression: I1=Vin+Vos⁡(T)R⁡(T)is substantially temperature independent.
  • 5. A current generator circuit according to claim 3, wherein said first input voltage is derived from a bandgap reference voltage.
  • 6. A current generator circuit according to claim 5, wherein said transistor is an n-type MOS field effect transistor.
  • 7. A current generator circuit according to claim 3, wherein said circuit further includes a current mirror including second and third transistors each including a control electrode and first and second supply voltage,said control electrodes of the second and third transistors and said second current electrode of the second transistor being connected to said second current electrodes, said first current electrodes of the second and third transistors being connected to said second current electrode of said first transistor, said current mirror generating, through said first and second current electrodes of the third transistor, a second current which is the image of said first current.
  • 8. A current generator circuit according to claim 7, wherein said second and third transistors are p type MOS field effect transistors.
  • 9. A current generator circuit according to claim 3 wherein said resistor means is an integrated resistor.
Priority Claims (1)
Number Date Country Kind
1158/00 Jun 2000 CH
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Number Name Date Kind
4168492 Uya Sep 1979 A
5229710 Kraus et al. Jul 1993 A
5266885 Brambilla et al. Nov 1993 A
5774013 Groe Jun 1998 A
5805004 Tanten et al. Sep 1998 A
5933051 Tsuchida et al. Aug 1999 A
5949225 Sawtell Sep 1999 A
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Foreign Referenced Citations (1)
Number Date Country
10-284949 Oct 1998 JP