1. Field of the Invention
The present invention relates to generating of bandgap voltages, and more particularly, to bandgap reference circuits.
2. Description of the Prior Art
Please refer to
I1=VT*In(N)/R1.
In the above equation, the thermal voltage VT can be expressed as follows:
VT=(k*T)/q;
where k represents Boltzmann's constant, T represents absolute temperature, and q represents an electric charge equivalent.
In addition, the current I2 within the bandgap reference circuit 100 can be referred to as a complementary to absolute temperature current (i.e. a CTAT current, whose magnitude decreases while absolute temperature increases). The current I2 is related to the BJT Q1-0 and a resistor R2, and can be represented by utilizing the following equation:
I2=VEB0/R2;
where VEB0 represents the emitter-base junction voltage of the BJT Q1-0.
The bandgap voltage VREF outputted from the output terminal of the bandgap reference circuit 100 is generated according to a total current (I1+I2), and can be represented by utilizing the following equation:
VREF=(I1+I2)*R3=(R3/R2)*(VEB0+(R2/R1)*In(N)*VT).
Please refer to the
I1′=ΔVEB′/R1′ (1);
where ΔVEB′ represents the difference between bias voltages of diodes such as bias voltages VD2-0 and VD2-1 (or VD2-2, VD2-3, . . . , VD2-N), and a bias voltage of a diode means the voltage difference between two terminals of the diode. Please note that the voltage VEB′ may represent the voltage difference between two terminals of a diode (e.g., the diode D2-0) in a broad sense, while in a narrow sense, the voltage VEB′ may represent the voltage difference between two terminals of a diode (e.g., the diode D2-0) that is implemented by utilizing the above-mentioned BJT.
In addition, the current I2′ within the bandgap reference circuit 200 can be represented by utilizing the following equation:
I2′=(VEB′−VREF′)/R2′ (2);
where VREF′ represents the bandgap voltage outputted from the output terminal of the bandgap reference circuit 200, and can be represented by utilizing the following equation:
VREF′=(I1′+3*I2′)*R3′ (3).
Equations (1) and (2) can be substituted into Equation (3) such that the following equation can be obtained:
VREF′=C*((R2′/(3*R1′))*ΔVEB′+VEB′) (4);
where C=(3*R3′)/(R2′+3*R3′). Substitute the equation ΔVEB′=VT*In(N) into Equation (4), another equation can be obtained as follows:
VREF′=C*((R2′/(3*R1′))*VT*In(N)+VEB′).
According to the prior art, if the newer architecture shown in
It is an objective of the claimed invention to provide bandgap reference circuits.
According to one embodiment of the claimed invention, a bandgap reference circuit for generating a bandgap voltage is disclosed. The bandgap reference circuit comprises: a current generator for generating an output current, the current generator comprising a plurality of reference units comprising a first reference unit and a plurality of second reference units arranged in parallel, the current generator being capable of determining the magnitude of the output current according to the plurality of reference units, where a first portion of the output current is a current having a negative temperature coefficient, and a second portion of the output current is a current having a positive temperature coefficient; a first resistor, coupled between a first terminal of the first reference unit and a node, for transmitting a first current; a second resistor, coupled to the node and a first terminal of each second reference unit, for transmitting a second current; a third resistor, coupled between the node and an output terminal of the bandgap reference circuit, for transmitting a third current, where the magnitude of the third current is equal to the sum of the magnitude of the first current and the magnitude of the second current; and a current-to-voltage converter, coupled to the third resistor, for generating the bandgap voltage according to the output current and the third current.
While the bandgap reference circuit mentioned above is provided, a method for generating a bandgap voltage is provided correspondingly. The method comprises: providing a current generator comprising a plurality of reference units for determining the magnitude of an output current, where the plurality of reference units comprises a first reference unit and a plurality of second reference units arranged in parallel; providing a first resistor, a second resistor, and a third resistor; providing a current-to-voltage converter; coupling the first resistor between a first terminal of the first reference unit and a node to transmit a first current; coupling the second resistor to the node and a first terminal of each second reference unit to transmit a second current; coupling the third resistor between the node and an output terminal of the bandgap reference circuit to transmit a third current, where the magnitude of the third current is equal to the sum of the magnitude of the first current and the magnitude of the second current; utilizing the current generator to generate the output current, where a first portion of the output current is a current having a negative temperature coefficient and a second portion of the output current is a current having a positive temperature coefficient; and utilizing the current-to-voltage converter to generate the bandgap voltage according to the output current and the third current.
These and other objectives of the present invention will no doubt become obvious to those of ordinary skill in the art after reading the following detailed description of the preferred embodiment that is illustrated in the various figures and drawings.
Please refer to
According to the embodiment shown in
As shown in
According to the first embodiment, the bandgap reference circuit 300 further comprises three resistors, each of which is coupled to the node A, where the resistor R2″ is further coupled to an output terminal of the bandgap reference circuit 300 on the right-hand side of the bandgap reference circuit 300 (i.e., the output terminal where the bandgap voltage VREF″ is labeled). In this embodiment, the resistance value of the left-hand side resistor of the node A is substantially equal to that of the right-hand side resistor of the node A, so they are both labeled as RA. As shown in
As shown in
The current generator of this embodiment generates an output current (I1″+IA), and outputs the output current (I1″+IA) to the upper terminal of the resistor R3″ through the drain of the PMOS transistor M3″, where the current generator is capable of determining the magnitude of the output current (I1″+IA) according to the plurality of reference units. The above-mentioned current-to-voltage converter (i.e. the resistor R3″ in this embodiment) is capable of generating the bandgap voltage VREF″ according to the output current (I1″+IA) and the current I2″. According to this embodiment, the current-to-voltage converter converts the total current (I1″+IA+I2″) of the output current (I1″+IA) and the current I2″ into the bandgap voltage VREF″, where I2″=2*IA, so the total current is (I1″+3*IA). Please note that a first portion of the output current (I1″+IA) (i.e., the current I1″) is a current having a negative temperature coefficient and a second portion of the output current (I1″+IA) (i.e., the current IA) is a current having a positive temperature coefficient, where the first portion and the second portion of the output current (I1″+IA) of this embodiment are currents of the same direction. In this embodiment, by utilizing the complementary characteristics of the current I1″ having the negative temperature coefficient and the current (3*IA) having the positive temperature coefficient within the total current (I1″+3*IA), the total current (I1″+3*IA) generated by the bandgap reference circuit 300 remains substantially unchanged with respect to temperature while the bandgap reference circuit 300 is operating within a predetermined range such as a well-designed operation range, whereby the bandgap voltage VREF″ substantially independent of the temperature variation can be obtained. Operation principles of the bandgap reference circuit 300 are described as follows.
The current I1″ within the bandgap reference circuit 300 can be expressed by utilizing the following equation:
I1″=ΔVEB″/R1″ (5);
where ΔVEB″ in this embodiment represents the difference between bias voltages of diodes such as bias voltages VD3-0 and VD3-1 (or VD3-2, VD3-3, . . . VD3-N), and a bias voltage of a diode means the voltage difference between two terminals of the diode. Please note that the voltage VEB′ may represent the voltage difference between two terminals of a diode (e.g., the diode D3-0) in a broad sense, while in a narrow sense, the voltage VEB′ may represent the voltage difference between two terminals of a diode (e.g., the diode D3-0) that is implemented by utilizing the above-mentioned BJT. In addition, the current IA within the bandgap reference circuit 300 can be expressed by utilizing the following equation:
IA=(VEB″−VA)/RA (6);
where VA represents the voltage of the node A. Additionally, the current I2″ within the bandgap reference circuit 300 can be expressed by utilizing the following equation:
I2″=(VA−VREF″)/R2″=2*IA (7).
From Equations (6) and (7), another equation can be obtained as follows:
VA=(2*R2″*VEB″+RA*VREF″)/(RA+2*R2″) (8).
Substitute Equation (8) into Equation (6), so as to obtain the following equation:
IA=(VEB″−VREF″)/(RA+2*R2″) (9).
In addition, the bandgap voltage VREF″ can be expressed by utilizing the following equation:
VREF″=(I1″+3*IA)*R3″ (10).
Substitute Equations (5) and (9) into Equation (10) to obtain the following equation:
VREF″=C31*(C32*ΔVEB″+VEB″) (11);
where
C31=(3*R3−)/(RA+2*R2″+3*R3″), and
C32=(RA+2*R2″)/(3*R1″).
In the following, the bandgap reference circuit 300 provided by the first embodiment is compared with the bandgap reference circuit 200 of the prior art according to some operating conditions, where the range of the operating voltage VCC is from 0.9 V to 1.1 V, the range of the operating junction temperature is from −40° C. to 125° C., and the process utilized for manufacturing chip(s) is the 90 nm process known in the art. Thus, the area occupied by the diode D3-0 within the bandgap reference circuit 300 is consistent with that occupied by the diode D2-0 within the bandgap reference circuit 200, i.e., both are 98 micrometer (μm) square. Similarly, the area occupied by the diodes D3-1, D3-2, . . . , and D3-N within the bandgap reference circuit 300 is consistent with that occupied by the diodes D2-1, D2-2, . . . , D2-N within the bandgap reference circuit 200. Then further description can be provided regarding some process variation conditions (“Process Corner” in particular) such as PTNT, PFNF, and PSNS, where three respective simulated curves generated by circuit simulation program(s) are illustrated in each figure from
Please refer to
Please refer to
Please refer to
According to a variation of the first embodiment, a special case of the first embodiment, a resistor size such as the total resistor area of (R1″+2*RA+R2″+R3″) of the resistors R1″, RA, R2″, and R3″ utilized in the bandgap reference circuit 300 is compared with a corresponding resistor size such as the total resistor area of (R1′+2*R2′+R3′) of the resistors R1′, R2′, and R3′ utilized in the bandgap reference circuit 200. According to this variation, the amplifier 310, the PMOS transistors M1″, M2″, and M3″, and the diodes D3-0, D3-1, D3-2, . . . , D3-N shown in
RA+2*R2″=R2′.
As a result, the difference between the respective resistor sizes (e.g. total resistor areas) of (R1′+2*R2′+R3′) and (R1″+2*RA+R2″+R3″) mentioned above can be calculated as follows:
(R1′+2*R2′+R3′)−(R1″+2*RA+R2″+R3″)=(R″+2*R2′+R3″)−(R1″+2*RA+R2″+R3″)=(2*R2′)−(2*RA+R2″)=(2*(RA+2*R2″))−(2*RA+R2″)=3*R2″.
In other words, in contrast to the bandgap reference circuit 200, the bandgap reference circuit 300 can save as large as three times the area occupied by the resistor R2″. Therefore, in contrast to the bandgap reference circuit 200 of the prior art, the present invention provides a practical implementation method capable of improving the yield in a mass production phase of chips comprising bandgap reference circuits.
According to a variation of the first embodiment, the plurality of reference units can also be respectively implemented by utilizing dynamic threshold MOS transistors, and more particularly, in this variation, by utilizing dynamic threshold N-type MOS (DTNMOS) transistors.
According to another variation of the first embodiment, the plurality of reference units can be respectively implemented by utilizing MOS transistors operated in a weak inversion region thereof.
Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention.
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