In many integrated circuits, such as memory devices, it is necessary to have an on-chip reference voltage that is stable over process and temperature variations. As semiconductor technology advances, semiconductor geometries are decreasing. In particular, with the scaling of semiconductor technologies and the use of ultra-thin gate oxides, the demand for low power and low voltage reference circuits is increasing.
In prior art integrated circuits, a band gap reference circuit has typically been used as a general-purpose voltage regulator circuit for supplying a stable voltage reference. However, conventional band gap reference circuits typically cannot operate at power supply voltages less than about 1.0 volts. Thus, as semiconductor technologies advance and as operating voltages decrease, traditional band gap reference techniques may not be adequate.
As a result, there is a need for voltage reference circuits for use in low voltage integrated circuit applications.
Methods in accordance with this invention include a method for developing a reference voltage that is based on a difference between a threshold voltage of a first transistor and a threshold voltage of a second transistor, and further based on a difference between a gate overdrive voltage of the first transistor and a gate overdrive voltage of the second transistor.
Methods in accordance with this invention also include a method for making a product incorporating a voltage reference circuit, the method including forming a reference voltage circuit configured to generate a reference voltage based on a difference between a threshold voltage of a first transistor and a threshold voltage of a second transistor, and further based on a difference between a gate overdrive voltage of the first transistor and a gate overdrive voltage of the second transistor.
Apparatus in accordance with this invention include a reference voltage circuit including a first transistor and a second transistor, and a means for generating a reference voltage based on a difference between a threshold voltage of the first transistor and a threshold voltage of the second transistor, and further based on a difference between a gate overdrive voltage of the first transistor and a gate overdrive voltage of the second transistor.
Apparatus in accordance with this invention also include a circuit including a reference voltage output node, and a means for developing a reference voltage on the output node that is based on a difference in a respective threshold voltage of a first transistor and a second transistor, and further based on a difference in a respective gate overdrive voltage of the first transistor and the second transistor.
Apparatus in accordance with this invention also include a circuit including first and second supply nodes, a first circuit leg including a first transistor coupled between the first supply node and the second supply node, and a second circuit leg including a second transistor coupled between the first supply node and the second supply node. The first circuit leg conducts a current, and the second circuit leg conducts substantially the same current. The second transistor includes a first output node that provides a reference voltage that is based on a difference between respective threshold voltages of the first transistor and the second transistor, and further based on a difference between respective gate overdrive voltages of the first transistor and the second transistor.
Features of the present invention can be more clearly understood from the following detailed description considered in conjunction with the following drawings, in which the same reference numerals denote the same elements throughout, and in which:
Methods and apparatus in accordance with this invention develop a reference voltage that is based on a difference between a threshold voltage of a first transistor and a threshold voltage of a second transistor, and further based on a difference between a gate overdrive voltage of the first transistor and a gate overdrive voltage of the second transistor.
Referring now to
N-channel transistor 16 has a drain terminal coupled to node C, a gate terminal coupled to node A, and a source terminal coupled to a second supply node, GROUND. N-channel transistor 18 has a drain terminal coupled to node VOUT, a gate terminal coupled to node C, and a source terminal coupled to GROUND. Native n-channel transistor 20 has a drain terminal coupled to node B, a gate terminal coupled to node A, and a source terminal coupled to node VOUT. Resistor 22 has a resistance R, and has a first terminal coupled to node A, and a second terminal coupled to node C. Native n-channel transistor 20, sometimes referred to as a depletion-mode transistor, has a threshold voltage VT20 having a nominal value of approximately zero volts. Transistors 16 and 18 are n-channel transistors having threshold voltages VT16 and VT18, respectively, that are each greater than zero volts. Transistors 16, 18 and 20 each conduct substantially the same drain current I.
The circuit elements in voltage reference circuit 10 have the following exemplary parameters:
Persons of ordinary skill in the art will understand that circuit elements having parameter values other than these exemplary values also may be used.
From the circuit diagram of
IR=(VGS16−VGS18) (1)
where VGS16 and VGS18 are the gate-to-source voltages of transistors 16 and 18, respectively. In saturation, the gate-to-source voltage of an MOS transistor may be written as:
where VT is the transistor threshold voltage, and the square-root term is typically referred to as the “gate overdrive voltage.” The gate overdrive voltage of the transistor is a function of the transistor drain current, ID, and the transistor β, which may be written as:
where μ, Cox, and
are the transistor's carrier mobility, gate oxide capacitance per unit area and gate width-to-length ratio, respectively.
Thus, if transistors 16 and 18 are biased to operate in saturation, VGS16 and VGS18 can be written as:
where β16 and β18 are the “betas” of transistors 16 and 18, respectively.
From equations (1), (4) and (5), the voltage across resistor 22 can be rewritten as:
If transistors 16 and 18 are fabricated near one another on the same die, VT16≈VT18. Thus,
Then from equations (7) and (8),
For nonzero I, M≧1. If μ18=μ16, and Cox18=Cox16, then:
Thus, M equals the ratio of transistor width-to-length ratios, and is thus a substantially temperature-independent constant.
Let
which is also a substantially temperature-independent constant. Then from equation (9),
therefore, solving for I,
From
VOUT=(VGS16−VGS20) (13)
where VGS20 is the gate-to-source voltage of native n-channel transistor 20. If transistor 20 is biased to operate in saturation, VGS20 can be written as:
where β20 is the beta of transistor 20, which may be written as:
Thus, from equations (4), (13) and (14):
Thus, VOUT is equal to a difference between the threshold voltage of transistor 16 and the threshold voltage of transistor 20, plus a difference between the gate overdrive voltage of transistor 16 and the gate overdrive voltage of transistor 20. Substituting equation (12) into equation (17),
Let J=β20/β16, then:
which is a ratio of transistor mobilities. If transistors 16 and 20 are fabricated near one another on the same die, μ20 tracks μ16 over process and temperature. Thus, to a first order approximation, J is temperature-independent, and K2 is temperature-independent.
Let
ignoring the temperature-dependence of R, K3 is a temperature-independent constant. Thus, rewriting equation (22):
The second term on the right side of equation (26) is a constant divided by the beta of n-channel transistor 16.
In contrast,
Referring now to
The circuit elements in voltage reference circuit 10′ have the following exemplary parameters:
Persons of ordinary skill in the art will understand that circuit elements having parameter values other than these exemplary values also may be used.
Persons of ordinary skill in the art will understand that voltage reference circuit 10′ is an equivalent circuit to voltage reference circuit 10. As illustrated in
As shown in
Referring again to
Referring again to
In the exemplary circuits described above, a voltage reference was created based on a difference between a threshold voltage of a first transistor and a threshold voltage of a second transistor, and further based on a difference between a gate overdrive voltage of the first transistor and a gate overdrive voltage of the second transistor. Persons of ordinary skill in the art will understand that alterative voltage reference circuits in accordance with this invention may generate a voltage reference by summing a difference between a threshold voltage of a first transistor and a threshold voltage of a second transistor with any suitable proportional to absolute temperature voltage.
Thus, as shown in
In the exemplary circuits described above, PTAT generator 54 generated a voltage equal to a difference between a gate overdrive voltage of a first transistor and a gate overdrive voltage of a second transistor. Persons of ordinary skill in the art also will understand that alternative voltage reference circuits in accordance with this invention may eliminate the gate overdrive term, and adjust the difference in threshold voltages to create a temperature insensitive voltage. For example, a voltage reference circuit that generates
VOUT=0.85×VT16−VT20 (28)
creates a very temperature-insensitive voltage reference. The value of VOUT may, however, be process-dependent, but that may be accommodated using a trimming amplifier.
Although circuits and physical structures are generally presumed, it is well recognized that in modern semiconductor design and fabrication, physical structures and circuits may be embodied in computer readable descriptive form suitable for use in subsequent design, test or fabrication activities as well as in resultant fabricated semiconductor integrated circuits. Accordingly, claims directed to traditional circuits or structures may, consistent with particular language thereof, read upon computer readable encodings and representations of same, whether embodied in media or combined with suitable reader facilities to allow fabrication, test, or design refinement of the corresponding circuits and/or structures. The claimed invention is contemplated to include circuits, related methods or operation, related methods for making such circuits, and computer-readable medium encodings of such circuits and methods, all as described herein, and as defined in the appended claims. As used herein, a computer-readable medium includes at least disk, tape, or other magnetic, optical, semiconductor (e.g., flash memory cards, ROM), or electronic medium. An encoding of a circuit may include circuit schematic information, physical layout information, behavioral simulation information, and/or may include any other encoding from which the circuit may be represented or communicated.
The foregoing detailed description has described only a few of the many possible implementations of the present invention. For this reason, this detailed description is intended by way of illustration, and not by way of limitations. Variations and modifications of the embodiments disclosed herein may be made based on the description set forth herein, without departing from the scope and spirit of the invention. Moreover, the embodiments described above are specifically contemplated to be used alone as well as in various combinations. It is only the following claims, including all equivalents, that are intended to define the scope of this invention. Accordingly, other embodiments, variations, and improvements not described herein are not necessarily excluded from the scope of the invention.
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Number | Date | Country | |
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20100219804 A1 | Sep 2010 | US |