The present application claims priority from Indian Patent Application No. 2373/Del/2004 filed Nov. 25, 2004, the disclosure of which is hereby incorporated by reference.
1. Technical Field of the Invention
The present invention relates to a reference current generator. More particularly, the invention relates to a first order temperature compensated, and process corner and power supply independent, reference current generator for low voltage applications in CMOS technology.
2. Description of Related Art
A current reference is normally obtained from a bandgap reference circuit as shown in
The current equation for this circuit can be written as
I=(Vt*ln(n)/R1)+Vbe/R2
where, Vt is the thermal voltage (26 mV at 300 deg K); Vbe is the base emitter voltage drop of a BJT; and n is the emitter area ratio of BJTS Q0 and Q1.
The current I is temperature compensated to the first order as both Vt and Vbe have inverse temperature dependencies, however an approximately ±20% variation of this current is observed across process, voltage and temperature (PVT).
The minimum supply voltage required for a typical 90 nm process, is the voltage drop across base emitter voltage drop of the BJT Vbe (typically 0.65V) plus the threshold voltage of the Metal Oxide Semiconductor Field Effect Transistors (MOSFETs) Vth (approximately 0.25V) plus twice the drop across drain to source voltage for a MOSFET to operate in saturation Vds(sat). Mathematically this minimum supply voltage Vdd required can be written as:
Vdd(min)=Vbe+Vth+2*Vds(sat)
From the above discussion it is apparent that a substantial voltage drop is observed across the BJTs. For low voltage applications having supply voltage of about 1 Volt this poses a serious limitation as the voltage headroom available for the MOS to operate in saturation is almost unavailable or is so small that the required sizes of the MOS transistors become very large. This increases the parasitics associated with the MOS transistors. Further as each MOS transistor is expected to operate at the edge of saturation the output resistance of the MOS transistor is very small and the overall performance of the circuit is affected. Therefore reliability of this circuit for low voltage applications is very low.
U.S. Pat. No. 6,448,844, the disclosure of which is hereby incorporated by reference, describes another CMOS current reference 100 shown in
An expression for the current I generated by circuit in
Assuming that the threshold voltages for the n and p type MOS transistors are the same, that is:
Vthn=Vthp
The following expression is obtained:
I=(2/R2*(βMN6B+βMP9))*(1−√(βMN6B+βMP9)/(βMN7))2
From the above equation it is evident that the current I is first order compensated only if the resistance used has a positive temperature coefficient. For a particular process both positive temperature coefficient and negative temperature coefficient resistances would be available and to get a first order compensated current using 100 a positive temperature coefficient resistance has to be chosen. Normally in a particular process negative temperature coefficient resistances exhibit less variation across the process corners than the positive temperature coefficient resistances. A positive temperature coefficient resistance results in a large variation of current across process corners.
The circuit also exhibits poor supply rejection and hence current variation with supply voltage. The start up transistor MN5 is not switched off during steady state operation leading to a offset in the values of the currents in the two branches of the constant current generating unit 110 and to increased dependence of the current on the supply voltage. Also there is a potential short circuit path from VDD to VSS formed by MN5 and MP9 leading to large power dissipation.
There is accordingly a need to obviate the above and other drawbacks in the prior art.
An embodiment of the present invention provides an improved first order temperature compensated current reference generating circuit comprising: a current device connected to the supply for providing a controlled current; a startup circuit connected to said current device for initiating operation of said current device, and a current dictating mechanism driven by said current device for supplying a current which is independent of temperature, process and individual temperature coefficients circuit elements used; wherein said current dictating mechanism has resistive device controlled by a predetermined voltage having a predetermined temperature coefficient.
The current device may comprise a current mirror circuit having a plurality of transistors with common control terminals and one of the conducting terminals connected to the supply.
The start up circuit may be connected to said first common control terminal of said plurality of transistors for providing a signal for a duration sufficient enough to initiating circuit operation.
The current dictating mechanism may include first and second transistors both having common control terminals connected to the first conducting terminal of said first transistor and first conducting terminals of the first and second transistors are driven by the current device, second conducting terminal of said first transistor is connected to the ground and second conducting terminal of said second transistor is connected to the ground through a resistive device controlled by a predetermined voltage having a predetermined temperature coefficient.
The resistive device may comprise a transistor.
The predetermined voltage may comprise a voltage signal sufficient enough to keep the resistive device linearly resistive and said predetermined temperature coefficient may comprise a positive temperature coefficient.
The circuit further comprises a differential amplifier providing its output to the common control terminals of said plurality of transistors for ensuring a current flowing through said transistors such their second conducting terminals of these transistors are at same voltage level, the input terminals of the differential amplifier connected to second conducting terminals of said plurality of transistors to detect a voltage difference thereby providing an improved power supply rejection ratio.
According to another aspect of the invention an improved first order temperature compensated current reference generating module having a PTAT circuit has a voltage with a predetermined temperature coefficient connected to an amplifier for lifting said voltage to a predetermined level. This is connected to a current generating circuit comprising: a current device connected to the supply for providing a controlled current; a startup circuit connected to said current device for initiating operation of said current device, and a current dictating mechanism driven by said current device for supplying a current which is independent of temperature, process and individual temperature coefficients circuit elements used; wherein said current dictating mechanism has resistive device that receives said predetermined voltage having a predetermined temperature coefficient from the amplifier.
The current device may comprise a current mirror circuit having a plurality of transistors with common control terminals and one of the conducting terminals connected to the supply.
The start up circuit may be connected to said first common control terminal of said plurality of transistors for providing a signal for a duration sufficient enough to initiating circuit operation.
The current dictating mechanism may include first and second transistors both having common control terminals connected to the first conducting terminal of said first transistor and first conducting terminals of the first and second transistors are driven by the current device, second conducting terminal of said first transistor is connected to the ground and second conducting terminal of said second transistor is connected to the ground through a resistive device controlled by a predetermined voltage having a predetermined temperature coefficient.
The circuit further comprises a differential amplifier providing its output to the common control terminals of said plurality of transistors for ensuring a current flowing through said transistors such their second conducting terminals of these transistors are at same voltage level, the input terminals of the differential amplifier connected to second conducting terminals of said plurality of transistors to detect a voltage difference thereby providing an improved power supply rejection ratio.
In another embodiment, a circuit comprises a PTAT circuit for generating a reference voltage, an amplifier circuit coupled to receive and amplify the reference voltage and a reference current generator circuit outputting a current possessing a positive temperature coefficient and including a variable negative temperature coefficient resistance controlled responsive to the amplified reference voltage.
A more complete understanding of the method and apparatus of the present invention may be acquired by reference to the following Detailed Description when taken in conjunction with the accompanying Drawings wherein:
a show a current reference in accordance with U.S. Pat. No. 6,448,844;
The transistors M3 and M4 form a current mirror circuit, and the gates of transistors M1 and M2 are at same voltage level hence a current I is forced to flow through the transistors M1 and M2. If Vgs1 and Vgs2 are the gate to source voltages of transistors M1 and M2 following mathematical expression can be written:
Vgs1=Vgs2+I*R
Vgs1=√2*I/β1+Vth1
where β1=κn(T)*(W/L)1
κn(T)=μn(T)*Cox
μn(T)=μn0* T(−3/2)
Vgs2=√2*I/β2+Vth2
Where, β2=Kβ1 and K is the W/L ratio of the transistors.
Assuming that the threshold voltages Vth1 and Vth2 are the same, solving the above equations for current I results in the following expression:
I=(2/R2*β1)(1−1/√K)2
The resistor R has a negative temperature co-efficient and appears in the equation in the second order; hence, the current I has a positive temperature coefficient.
On differentiating the current equation with respect to temperature T the following expression for the temperature coefficient can be derived:
TCI=−2*(1/R)*(∂R/∂T)−(1/κn(T))*(∂κn(T)/∂T)
The differentials of R and Kn are negative and there exists a negative sign in entire expression; hence, the temperature coefficient TC1 is positive.
Further, the reference voltage is received from the gate of transistor M1 therefore on substituting for current I in the expression of gate to source voltage of the transistor M1 we get the following expression for reference voltage.
Vgs1=(2/(β1*R))*(1−1/√K)+Vth1
In the above expression the first term has a positive temperature coefficient whereas the threshold voltage Vth1 has a negative temperature coefficient indicating that the voltage Vgs1 has negative temperature coefficient. On differentiating voltage Vgs1 with respect to temperature the following expression is obtained:
∂Vgs1/∂T=−(2/(β1*R))*(1−1/√K)*((1/R)*(∂R/∂T)+(1/κn(T))*(∂κn(T)/∂T))+∂Vth/∂T
The above equation shows that Vgs1 can be temperature compensated to the first order.
We now discuss improving the Power Supply Rejection Ration (PSRR) of the current reference circuit. The variation in the current I in the any one of the branches of the PTAT circuit with respect to change in supply voltage Vdd can be written as:
Δi/ΔVdd=(1/rds4)*[1/(Gm2*rds4*(1/gml))−gm4*(1/gm3))
Where the legends used in the equation have their commonly understood meaning. In some of applications the power supply rejection given by the above expression increases to a prohibitively large extent and is not desirable. To reduce the effect of power supply variation, the current device is provided with a differential amplifier as shown in
The differential amplifier receives inputs from the current device and a proportionally amplified output is fed to the current device which forces a current to flow through the transistor M3 and M4 which keeps the drain of said transistors at the same voltage level.
For this circuit the PSRR equation reduces to
Δi/ΔVdd=(1/gml)/(A*gm2*rds2)
Where A is the gain of the differential amplifier. Often this circuit is provided with a charge tank connected to the output of the differential amplifier for starting up the circuit operation.
The function desired from transistor Mt is to provide a controlled resistance. The transistors show resistive properties in the linear region of its characteristics. If the transistor Mt can be supplied with a gate voltage such that it remains in the linear region of operation then transistor Mt will serve the same purpose as resistor R in
Consider the voltage supplied at the gate of the transistor Mt has a profile similar to that derived for Vgs1 of
Vtriode=(K1/(R*β)+K2*Vth)
Further, for a transistor the effective resistance in the linear region Rlin can be written as
Rlin=1/(βt*(Vtriode−Vth))
On substituting for Vtriode and Rlin in the current equation derived in the previous section, the following current equation is obtained.
I=(2/β1)*(βt*(K1/(R*β)+(K2−1)*Vth)2*(1−1/√K)2
Since
β=κn*(W/L)
then the current equation reduces to:
I=(2/(κn*(W/L)1)*(κn*(W/L)t*(K1/(R*κn*(W/L))+(K2−1)*Vth)2*(1−1/√K)2
On rearranging the above equation:
I=(2/(W/L)1)*((W/L)t*(K1/(R*√κn*(W/L))+(K2−1)*Vth*√κn)2*(1−1/√K)2
The final current equation can be written as
I=Kx*(Ky/(R*√κn)+Kz*Vth*√κn)2
where,
Kx=(2/(W/L)1)*((W/L)t*(1−1/√K)2
Ky=K1/(W/L)
Kz=K2−1
In this equation the term containing Ky increases with temperature whereas the term containing Kz reduces with an increase in the temperature. Therefore, the current generated by the circuit shown in the figure is first order temperature compensated.
The current reference circuit can be coupled to an amplifier in a similar manner as shown in
The invention can be tested by providing an appropriate voltage Vtriode at the gate of transistor Mt. According to one of the embodiments of the invention the stable voltage with positive temperature coefficient can be obtained from a PTAT circuit and then the voltage can be amplified by an amplifier to a level where it can drive transistor Mt in the desired operating region. A block diagram for such an implementation is shown in
In
The output obtained by above circuit is a first order temperature compensated output as evident from the previous discussion. However for the purpose of a clearer picture and proof a subsequent mathematical derivation is provided.
Referring to the previous discussion, the output of the PTAT circuit is
Vgs1(2/(β1*R))*(1−1/√K)+Vth1
The input at the gate of the transistor Mt will be A times the PTAT output after amplification.
Vtriode=A*(2/(β1*R))*(1−1/√K)+A*Vth1
The output current equation of the current reference circuit is given by
I=(2/β1a)*(βt*(Vtriode−Vth1a))2*(1−1/√K)2
β=κn*(W/L)
On substituting for Vtriode, and assuming that the transistor M1 and M1a are well matched and hence Vth1a=Vth, the expression obtained is as follows:
I=(2/(κn*(W/L)1a)*(κn*(W/L)t*(A*(2/(κn*(W/L)1*R))*(1−1/√K)÷(A−1)Vth)2*(1−1/√K)2
On rearranging, the following expression is obtained:
I=Kx*(Ky/(R*√κn)+Kz*Vth*√κn)2
where,
Kx=(2/(W/L)1)*((W/L)t*(1−1/√K)2
Ky=K1/(W/L)
Kz=K2−1
and where:
K1=(W/L)t*(A*2*(1−1/√K))
K2=A
Now consider the following relations:
κn(T)=μn(T)*Cox
μn(T)=μn0* T(−3/2)
and
such that
where K82=√(μn0*Cox)
From the above relations the current equation reduces to:
I=Kxμ*(Kyμ*T(3/4)/R+Kzμ*Vth*T(−3/4))2
where Kxμ=Kx*Kμ
Kyμ=Ky*Kμ
Kzμ=Kz*Kμ
On differentiating with respect to temperature T:
∂I/∂T=2*Kxμ*(Kyμ*T(3/4)/R+Kzμ*Vth*T(−3/4) )*(Kyμ* (¾)*T(−1/4)/R+(−Kyμ*T(3/4)/R)*(1/R)*(∂R/∂T)+Kzμ*T(3/4)∂Vth/∂T−(¾)*Kzμ*Vth*T(−7/4))
From above equation it is clear that the current from this circuit is first order compensated.
Although preferred embodiments of the method and apparatus of the present invention have been illustrated in the accompanying Drawings and described in the foregoing Detailed Description, it will be understood that the invention is not limited to the embodiments disclosed, but is capable of numerous rearrangements, modifications and substitutions without departing from the spirit of the invention as set forth and defined by the following claims.
Number | Date | Country | Kind |
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2373/DEL/2004 | Nov 2004 | IN | national |