This application claims the benefits of priority to Chinese Patent Application No. CN 2020100842522, entitled “Bandgap Reference Circuit and Electronic Device”, filed with CNIPA on Feb. 10, 2020, and Chinese Patent Application No. CN 2020201580039, entitled “Bandgap Reference Circuit and Electronic Device”, filed with CNIPA on Feb. 10, 2020, the contents of which are incorporated herein by reference in their entireties.
The present disclosure relates to the technical field of circuit design, in particular, to a bandgap reference circuit and an electronic device.
Bandgap reference is a voltage source used as a voltage reference in analog circuits or mixed signal circuits. Bandgap voltage reference is one of the key building blocks in analog circuits and mixed signal circuits. Bandgap voltage reference has simple structure, yields high accuracy and low temperature coefficient, and thus has been widely used in integrated circuits.
The expression of the existing bandgap voltage reference includes the first-order linear component T of temperature and high-order non-linear component T ln(T). The first-order linear component T can be compensated by setting appropriate parameters while the high-order non-linear component T ln(T) normally is uncorrected. As a result, the reference voltage shows curvature as the temperature changes.
It is critical for those skilled in the art to improve the stability of the bandgap voltage reference and thus obtain higher accuracy.
The present disclosure provides a bandgap reference circuit and an electronic device for solving the curvature in the bandgap reference voltage.
The present disclosure provides a bandgap reference circuit which includes a basic reference module to generate a basic reference voltage containing a first linear temperature-coefficient (TC) term and a first nonlinear TC term if a terminal node in the basic reference module is grounded. The bandgap reference circuit further includes a compensation module with an output node connected to the terminal node of the basic reference module. The compensation module generates a compensation voltage at the output node containing a second linear TC term and a second nonlinear TC term by using a first set of current sources proportional to absolute temperate (PTAT) and a second set of current sources with TC of zero. And the sum of the compensation voltage and the basic reference voltage creates a composite reference voltage, the first linear TC term and the second TC term cancelled out while the first nonlinear TC term and the second nonlinear TC term cancelled out, ensuring the composite reference voltage to be constant and temperature independent.
In the following detailed description, reference is made to the accompanying drawings, which form a part hereof. In the drawings, similar symbols typically identify similar components, unless context dictates otherwise. The illustrative embodiments described in the detailed description, drawings, and claims are not meant to be limiting. Other embodiments may be utilized, and other changes may be made, without departing from the spirit or scope of the subject matter presented here. It will be readily understood that the aspects of the present disclosure, as generally described herein, and illustrated in the Figures, can be arranged, substituted, combined, and designed in a wide variety of different configurations, all of which are explicitly contemplated herein
Referring to
In some embodiments, an output node 110 of the compensation module 11 and a terminal node 120 of the basic reference module 12 may be connected. A “node” may be a physical connection in a circuit for connecting to another node or component, thereby allowing electric currency to pass through from one node to another node or component. A “terminal node” may refer to a point in the basic reference module 12 that may be either grounded or connected to the output node 110 of the compensation module 11. When the terminal node 120 is grounded, the basic reference module 12 may generate a basic reference voltage containing a linear TC term and a nonlinear TC term. When the terminal node 120 is connected to the output node 110 of the compensation module 11, the compensation module 11 may provide the compensation voltage through the output node 110 to the terminal node 120, which may in turn add the compensation voltage to the basic reference voltage and create a composite reference voltage. Such an approach may eliminate the linear TC terms and the nonlinear TC terms in the basic reference voltage. Therefore, the bandgap circuit may output a temperature independent composite reference voltage.
In some embodiments, the compensation module 11 includes a first current source 11, a second current source 12, a third current source 13, a first NPN transistor Q1, a second NPN transistor Q2, and a third NPN transistor Q3, a fourth NPN transistor Q4, a first NMOS transistor M1, and a second NMOS transistor M2.
In some embodiments, the value of the first current source 11 is proportional to absolute temperature (PTAT). The anode of the first current source 11 is connected to the power supply VCC, the cathode of the first current source 11 is connected to the collector of the first NPN transistor Q1. In this embodiment, the value of the first current source 11 is set to be a1*T.
In some embodiments, the base of the first NPN transistor Q1 is connected to its collector, and the emitter of the first NPN transistor Q1 is connected to the collector of the second NPN transistor Q2. The base of the second NPN transistor Q2 is connected to its collector, and the emitter of the second NPN transistor Q2 is grounded. The collector of the third NPN transistor Q3 is connected to the power supply VCC. The base of the third NPN transistor Q3 is connected to the base of the first NPN transistor Q1 and the emitter of the third NPN transistor Q3 is connected to the anode of the second current source 12.
In some embodiments, the cathode of the second current source 12 is connected to ground. The current flowing through the second current source 12 is of a fixed value. In this embodiment, the value of the second current source 12 is set to be lconst1 independent of temperature. The anode of the third current source 13 is connected to the power supply VCC, and the cathode of the third current source 13 is connected to the collector of the fourth NPN transistor Q4. The value of the third current source 13 is PTAT. In this embodiment, the value of the third current source 13 is set to be a2*T.
In some embodiments, the base of the fourth NPN transistor Q4 is connected to the emitter of the third NPN transistor Q3, and the emitter of the fourth NPN transistor Q4 is connected to the drain of the first NMOS transistor M1. The gate of the first NMOS transistor M1 is connected to the collector of the fourth NPN transistor Q4, and the source of the first NMOS transistor M1 is grounded. The source of the second NMOS transistor M2 is grounded, the gate of the second NMOS transistor M2 is connected to the gate of the first NMOS transistor M1, and the drain of the second NMOS transistor M2 is the output of the compensation module 11, providing the compensation voltage.
In some embodiments, the first NMOS transistor M1 and the second NMOS transistor M2 operate in triode, and the first NMOS transistor M1 matches the second NMOS transistor M2. The ratio between the channel width over length ratio of the first NMOS transistor M1 and that of the second NMOS transistor M2 is 1:m1. The drain of second NMOS transistor M2 is labelled as ‘output node’ 110 of the compensation module 11.
As shown in
Specifically, the basic reference module 12 includes the first resistor R1, the second resistor R2, the third resistor R3, the fourth resistor R4, the fifth NPN transistor Q5, the sixth NPN transistor Q6, and the first amplifier U1. The first terminal of the first resistor R1 is connected to the power supply VCC, and the second terminal of the first resistor R1 is connected to the collector of the fifth NPN transistor Q5. The emitter of the fifth NPN transistor Q5 is connected to the first terminal of the second resistor R2. The second terminal of the second resistor R2 is connected to the first terminal of the third resistor R3. The first terminal of the fourth resistor R4 is connected to the power supply VCC, and the second terminal of the fourth resistor R4 is connected to the collector of the sixth NPN transistor Q6. The emitter of the sixth NPN transistor Q6 is connected to the first terminal of the third resistor R3. The second terminal of R3 is labelled as ‘terminal node’ 120 of the basic reference module 12. In some embodiments, the terminal node 120 of the basic reference module 12 is connected to the output node 110 of the compensation module 11.
In some embodiments, the first resistor R1 and the fourth resistor R4 are of the same value. The ratio between the emitter area of the fifth NPN transistor Q5 and that of the sixth NPN transistor Q6 is n1:1, where the specific value of n1 may be set as required. The inverting input of the first amplifier U1 is connected to the collector of the fifth NPN transistor Q5, the non-inverting input of the first amplifier U1 is connected to the collector of the sixth NPN transistor Q6. The output of the first amplifier U1 is connected to the base of the fifth NPN transistor Q5 and to the base of the sixth NPN transistor Q6, providing the reference voltage VBG.
As shown in
where,
lC is the collector current, lS is the saturation current, VBE is the base-emitter voltage, VT is the thermal voltage, k is the Boltzmann constant, T is the absolute temperature in Kelvin, and q is the quantity of electron charge. Ignoring the base currents of the fifth NPN transistor Q5 and the sixth NPN transistor Q6, in the basic reference module 12, we can obtain:
where lC5 is the collector current of the fifth NPN transistor Q5, lC6 is the collector current of the sixth NPN transistor Q6, VBE5 is the base-emitter voltage of the fifth NPN transistor Q5, VBE6 is the base-emitter voltage of the sixth NPN transistor Q6, R2 is the resistance value of the second resistor R2, n1 is the ratio between the emitter area of the fifth NPN transistor Q5 and that of the sixth NPN transistor Q6. It's easy to see lC5 and lC6 are PTAT.
In some embodiments, when the second terminal of the third resistor R3 is grounded, we can further obtain:
where, VBG is the basic reference voltage, R3 is the resistance value of the third resistor R3. As the sixth NPN transistor Q6 operates with its collector current proportional to absolute temperature, the base-emitter voltage can be modelled as below:
where, VG0 is the bandgap voltage of silicon at zero Kelvin, T0 is the reference temperature, VBE0 is the base-emitter voltage of the transistor at the reference temperature T0, η is a process-related constant (between 3.6˜4), θ is determined by the temperature dependence of collector current (θ=1 when the collector current is PTAT).
Combining equation (3) and equation (4), we can further obtain:
In the above equation, by selecting appropriate
the linear component T in the second and third terms can be cancelled by the fourth term, so as to obtain a basic reference voltage VBG, which is relatively constant over temperature. Thus, the curvature of the basic reference voltage VBG caused by T ln(T) becomes the main source of error affecting the basic reference voltage VBG stability over temperature, and severely restricts the overall accuracy of the bandgap reference circuit.
To generalize the above analysis on the circuit in
where, Vds2 is the drain-source voltage of the second NMOS transistor M2. Furthermore, the drain-source voltage Vds2 of the second NMOS transistor M2 satisfies the following relationship:
where, rds2 is the drain-source resistance of the second NMOS transistor M2 biased in triode, rds1 is the drain-source resistance of the first NMOS transistor M1 biased in triode, Vds1 is the drain-source voltage of the first NMOS transistor M1, VBE1 is the base-emitter voltage of the first NPN transistor Q1, VBE2 is the base-emitter voltage of the second NPN transistor Q2, VBE3 is the base-emitter voltage of the third NPN transistor Q3, VBE4 is the base-emitter voltage of the fourth NPN transistor Q4.
Combining equations (6)˜(10), we have:
By setting appropriate
lconst1, a1, a2 and m1, the linear component T in the second term and the third term can be cancelled by that in the fourth term and the fifth term, and the high-order non-linear component T ln(T) in the third term can be cancelled by that in the fifth term, resulting in a composite reference voltage with improved temperature stability. As shown in
In other words, when its terminal node is grounded, the basic reference module 12 may generate a reference voltage that contains a first linear TC term and a first nonlinear TC term. The compensation module 11 may generate a compensation voltage at its output node 110 when PTAT current flows into the output node, which contains a second linear TC term and a second nonlinear TC term. When the terminal node 120 of the basic reference module 12 and the output node 110 of the compensation module 11 are connected, the compensation voltage from the compensation module 11 is in series with the basic reference voltage of the basic reference module 12. In this case, the bandgap reference circuit may compensate the first linear TC term with the second linear TC term, and compensate the first nonlinear TC term with the second nonlinear TC term. For example, the first linear TC term may be positive, and the second linear TC voltage may be negative, and these two linear TC terms may cancel out each other when combined. The first nonlinear TC term and the second nonlinear TC term may be likewise combined to cancel each other. The resulting composite reference voltage, which appears at the output of the bandgap reference circuit, may become temperature independent.
As shown in
In some embodiments, the first terminal of the fifth resistor R5 is connected to the power supply VCC, and the second terminal of the fifth resistor R5 is connected to the collector of the seventh NPN transistor Q7. The emitter of the seventh NPN transistor Q7 is connected to the anode of the fourth current source 14 while the cathode of the fourth current source 14 is grounded.
In some embodiments, the first terminal of the sixth resistor R6 is connected to the power supply VCC, and the second terminal of the sixth resistor R6 is connected to the collector of the eighth NPN transistor Q8. The sixth resistor R6 and the fifth resistor R5 are of the same resistance value. The emitter of the eighth NPN transistor Q8 is connected to anode of the fourth current source 14 while the cathode of the fourth current source 14 is grounded. The ratio between the emitter area of the seventh NPN transistor Q7 and that of the eighth NPN transistor Q8 is n2:1. The specific value of n2 can be set as required. The current in the fourth current source 14 is constant over temperature.
The inverting input of the second amplifier U2 is connected to the collector of the seventh NPN transistor Q7, the non-inverting input of the second amplifier U2 is connected to the collector of the eighth NPN transistor Q8, and the output of the second amplifier U2 is connected to the base of the eighth NPN transistor Q8, providing the composite reference voltage VBGC.
The first terminal of the seventh resistor R7 is connected to the output of the second amplifier U2, and the second terminal of the seventh resistor R7 is connected to the base of the seventh NPN transistor Q7. The first terminal of the eighth resistor R8 is connected to the base of the seventh NPN transistor Q7, and the second terminal of the eighth resistor R8 is connected to the collector of the ninth NPN transistor Q9. The base of the ninth NPN transistor Q9 is connected to its collector, and its emitter is connected to the output of the compensation module 11. The emitter of the ninth NPN transistor Q9 is labelled as the terminal node 120 of the basic reference module 12. The terminal node 120 of the basic reference module 12 is connected to the output node 110 of the compensation module 11.
Based on the basic reference module 12 shown in
where lR7 is the current flowing through the seventh resistor R7, R7 is the resistance value of the seventh resistor R7, R8 is the resistance value of the eighth resistor R8, VBE9 is the base-emitter voltage of the ninth NPN transistor Q9, n2 is the ratio between the emitter area of the seventh NPN transistor Q7 to that of the eighth NPN transistor Q8.
Therefore, combining equations (4), (8)˜(10) and equation (13), we find the reference voltage VBGC satisfies the following relationship:
by setting appropriate
lconst1, a1, a2 and m1, the first-order linear component T in the second term and the third term can be cancelled by that in the fourth term and the fifth term, and the high-order nonlinear component T ln(T) in the third term can be cancelled by that in the fifth term, thereby resulting in a composite reference voltage with improved temperature stability.
In other words, when its terminal node 120 is grounded, the basic reference module 12 may generate a basic reference voltage that contains a first linear TC term and a first nonlinear TC term. The compensation module 11 may generate a compensation voltage at its output node 110 which contains a second linear TC term and a second nonlinear TC term. When the terminal node 120 of the basic reference module 12 and the output node 110 of the compensation module 11 are connected, the compensation voltage is in series with the basic reference-voltage. In this case, the bandgap reference circuit may compensate the first linear TC term with the second linear TC term, and compensate the first nonlinear TC term with the second nonlinear TC term. For example, the first linear TC term may be positive, and the second linear TC term may be negative, and these two linear TC terms may cancel out each other when combined. The first nonlinear TC term and the second nonlinear TC term may be likewise combined to cancel each other. The resulting composite reference voltage, which appears at the output of the bandgap reference circuit, may become temperature independent.
As shown in
In some embodiments, the first terminal of the ninth resistor R9 is connected to the output of the third amplifier U3, and the second terminal of the ninth resistor R9 is connected to the first terminal of the tenth resistor R10. The second terminal of the tenth resistor R10 is connected to the collector of the tenth NPN transistor Q10. The base of the tenth NPN transistor Q10 is connected to its collector, and its emitter is labelled as ‘terminal node 110 of the basic reference module 12.
The first terminal of the eleventh resistor R11 is connected to the output of the third amplifier U3, and the second terminal of the eleventh resistor R11 is connected to the collector of the eleventh NPN transistor Q11. The eleventh resistor R11 and the ninth resistor R9 are of the same resistance value. The base of the eleventh NPN transistor Q11 is connected to its collector, and its emitter is connected to the terminal node 120 of the basic reference module 12. The ratio between emitter area of the tenth NPN transistor Q10 and that of the eleventh NPN transistor Q11 is n3:1. The specific value of n3 can be set as required.
The inverting input of the third amplifier U3 is connected to the second terminal of the ninth resistor R9, the non-inverting input of the third amplifier U3 is connected to the collector of the eleventh NPN transistor Q11, and the output of the third amplifier U3 provides the reference voltage VBGC. In some embodiments, the terminal node 120 of the basic reference module 12 is connected to the output node 110 of the compensation module 11.
Based on the basic reference module 12 shown in
where VBE11 is the base-emitter voltage of the eleventh NPN transistor Q11, R10 is the resistance value of the tenth resistor R10, R11 is the resistance value of the eleventh resistor R11, n3 is the ratio between the emitter area of the tenth NPN transistor Q10 and that of the eleventh NPN transistor Q11.
Therefore, combining equations (4), (8)˜(10), and equation (15), we find the composite reference voltage VBGC satisfies the following relationship:
By setting appropriate
lconst1, a1, a2 and m1, the first-order linear component T in the second term and the third term can be cancelled by that in the fourth term and fifth term, and the high-order nonlinear component T ln(T) in the third term can be cancelled by that in the fifth term, thereby resulting in a composite reference voltage with improved temperature stability.
In other words, when its terminal node is grounded, the basic reference module 12 may generate a basic reference voltage that contains a first linear TC term and a first nonlinear TC term. The compensation module 11 may generate a compensation voltage which contains a second linear TC term and a second nonlinear TC term. When the terminal node 120 of basic reference module 12 is connected to the output node 110 of the compensation module 11, the compensation voltage is in series with the basic reference voltage. In this case, the bandgap reference circuit may compensate the first linear TC term with the second linear TC term, and compensate the first nonlinear TC term with the second nonlinear TC term. For example, the first linear TC term may be positive, and the second linear TC term may be negative, and these two linear TC terms may cancel out each other when combined. The first nonlinear TC term and the second nonlinear TC term may be likewise combined to cancel each other. The resulting composite reference voltage, which appears at the output of the bandgap reference circuit, may become temperature independent.
In
In some embodiments, the anode of the sixth current source 16 is connected to the power supply VCC, and the cathode of the sixth current source 16 is connected to the emitter of the second PNP transistor Q13. The current flowing through the sixth current source 16 is of fixed value. In this embodiment, the current flowing through the sixth current source 16 is set to be lconst2, independent of temperature. The collector of the second PNP transistor Q13 is grounded. The ratio between the emitter area of the first PNP transistor Q12 and that of the second PNP transistor Q13 is 1:m2. The specific value of m2 can be set as required.
The inverting input of the fourth amplifier U4 is connected to the emitter of the second PNP transistor Q13, the non-inverting input of the fourth amplifier U4 is connected to the emitter of the first PNP transistor Q12, and the output of the fourth amplifier U4 is connected to the base of the second PNP transistor Q13, which is the output node 110 of the compensation module 11.
In some embodiments, the basic reference module 12 includes the twelfth resistor R12, the thirteenth resistor R13, the fourteenth resistor R14, the third PNP transistor Q14, the fourth PNP transistor Q15, and the fifth amplifier U5. The first terminal of the twelfth resistor R12 is connected to the output of the fifth amplifier U5, and the second terminal of the twelfth resistor R12 is connected to the first terminal of the thirteenth resistor R13. The second terminal of the thirteenth resistor R13 is connected to the emitter of the third PNP transistor Q14. The base of the third PNP transistor Q14 is connected to the output of the compensation module 11, and its collector is grounded.
In some embodiments, the first terminal of the fourteenth resistor R14 is connected to the output of the fifth amplifier U5, and the second terminal of the fourteenth resistor R14 is connected to the emitter of the fourth PNP transistor Q15. The fourteenth resistor R14 and the twelfth resistor R12 are of the same resistance value. The base of the fourth PNP transistor Q15 is connected to the output of the compensation module 11, and the collector of the fourth PNP transistor Q15 is grounded. The ratio between the emitter area of the third PNP transistor Q14 and that of the fourth PNP transistor Q15 is n4:1. The specific value of n4 can be set as required.
The inverting input of the fifth amplifier U5 is connected to the second terminal of the twelfth resistor R12 the non-inverting input of the fifth amplifier U5 is connected to the emitter of the fourth PNP transistor Q15, and the output of the fifth amplifier U5 provides the reference voltage VBG. Further, the base of the third PNP transistor Q14 and the base of the fourth PNP transistor Q15 are connected, labelled as the terminal node 120 of the basic reference module 12.
Since the collector of these PNP transistors is p-substrate in some processes, this embodiment modifies the curvature compensation scheme and biases the bases of the third PNP transistor Q14 and the fourth PNP transistor Q15 accordingly.
In the compensation module 11 of
where VB is the base voltage of the second PNP transistor Q13, ignoring the difference in θ between the first PNP transistor Q12 and the second PNP transistor Q13. Following the basic reference module 12, it can be shown that:
where VBE15 is the base-emitter voltage of the fourth PNP transistor Q15, R13 is the resistance value of the thirteenth resistor R13, R14 is the resistance value of the fourteenth resistor R14, n4 is the ratio between the emitter area of the third PNP transistor Q14 and that of the fourth PNP transistor Q15. Therefore, combining equations (4), (17)-(18), we find the composite reference voltage VBG satisfies the following relationship:
By setting appropriate
lconst2, a3 and m2, the first-order component T in the second term and the third term can be cancelled by that in the fourth term and the fifth term, and the high-order non-linear component T ln(T) in the third term can be cancelled by that the fifth term, resulting in a composite reference voltage with improved temperature stability.
The bandgap reference circuit of the present disclosure greatly improves the stability of the reference voltage over temperature by compensating for the high-order non-linear component T ln(T). Embodiments 1 to 4 are just exemplary implementations of the present disclosure. Any circuit structure that can compensate the temperature curvature of the reference voltage are included in the present disclosure, and are not described in detail here.
In other words, when its terminal node 120 is grounded, the basic reference module 12 may generate a reference voltage that contains a first linear TC term and a first nonlinear TC term. The compensation module 11 may generate a compensation voltage which contains a second linear TC term and a second nonlinear TC term. When the terminal node 120 of the basic reference module 12 is connected to the output node 110 of the compensation module 11, the compensation voltage is in series with the basic reference voltage. In this case, the bandgap reference circuit may compensate the first linear TC term with the second linear TC term, and compensate the first nonlinear TC term with the second nonlinear TC term. For example, the first linear TC term may be positive, and the second linear TC term may be negative, and these two linear TC terms may cancel each other out when combined. The first nonlinear TC term and the second nonlinear TC term may be likewise combined to cancel each other. The resulting composite reference voltage, which appears at the output of the bandgap reference circuit, may become temperature independent.
In some embodiments, the above bandgap reference circuits may be implemented in an electronic device or an integrated circuit. Specifically, the reference voltage outputted by the bandgap reference circuit may supply to other circuits in the electronic device or the integrated circuit.
The above-mentioned embodiments are just used for exemplarily describing the principle and effects of the present disclosure instead of limiting the present disclosure. Those skilled in the art can make modifications or changes to the above-mentioned embodiments without going against the spirit and the range of the present disclosure. Therefore, all equivalent modifications or changes made by those who have common knowledge in the art without departing from the spirit and technical concept disclosed by the present disclosure shall be still covered by the claims of the present disclosure.
The foregoing detailed description has set forth various embodiments of the devices and/or processes via the use of block diagrams, flowcharts, and/or examples. Insofar as such block diagrams, flowcharts, and/or examples contain one or more functions and/or operations, it will be understood by those within the art that each function and/or operation within such block diagrams, flowcharts, or examples can be implemented, individually and/or collectively, by a wide range of hardware, software, firmware, or virtually any combination thereof. In some embodiments, several portions of the subject matter described herein may be implemented via Application Specific Integrated Circuits (ASICs), System on Chip (SOC), sensors, analog front end (AFE), Field Programmable Gate Arrays (FPGAs), digital signal processors (DSPs), or other integrated formats.
The herein described subject matter sometimes illustrates different components contained within, or coupled with, different other components. It is to be understood that such depicted architectures are merely examples and that in fact many other architectures can be implemented which achieve the same functionality. In a conceptual sense, any arrangement of components to achieve the same functionality is effectively “associated” such that the desired functionality is achieved. Hence, any two components herein combined to achieve a particular functionality can be seen as “associated with” each other such that the desired functionality is achieved, irrespective of architectures or intermedial components. Likewise, any two components so associated can also be viewed as being “operably connected”, or “operably coupled”, to each other to achieve the desired functionality, and any two components capable of being so associated can also be viewed as being “operably couplable”, to each other to achieve the desired functionality. Specific examples of operably couplable include but are not limited to physically mateable and/or physically interacting components and/or wirelessly interactable and/or wirelessly interacting components and/or logically interacting and/or logically interactable components.
With respect to the use of substantially any plural and/or singular terms herein, those having skill in the art can translate from the plural to the singular and/or from the singular to the plural as is appropriate to the context and/or application. The various singular/plural permutations may be expressly set forth herein for sake of clarity.
It will be understood by those within the art that, in general, terms used herein, and especially in the appended claims (e.g., bodies of the appended claims) are generally intended as “open” terms (e.g., the term “including” should be interpreted as “including but not limited to,” the term “having” should be interpreted as “having at least,” the term “includes” should be interpreted as “includes but is not limited to”). It will be further understood by those within the art that if a specific number of an introduced claim recitation is intended, such an intent will be explicitly recited in the claim, and in the absence of such recitation no such intent is present. For example, as an aid to understanding, the following appended claims may contain usage of the introductory phrases “at least one” and “one or more” to introduce claim recitations. However, the use of such phrases should not be construed to imply that the introduction of a claim recitation by the indefinite articles “a” or “an” limits any particular claim containing such introduced claim recitation to inventions containing only one such recitation, even when the same claim includes the introductory phrases “one or more” or “at least one” and indefinite articles such as “a” or “an” (e.g., “a” and/or “an” should typically be interpreted to mean “at least one” or “one or more”); the same holds true for the use of definite articles used to introduce claim recitations. In addition, even if a specific number of an introduced claim recitation is explicitly recited, those skilled in the art will recognize that such recitation should typically be interpreted to mean at least the recited number (e.g., the bare recitation of “two recitations,” without other modifiers, typically means at least two recitations, or two or more recitations).
Furthermore, in those instances where a convention analogous to “at least one of A, B, and C, etc.” is used, in general such a construction is intended in the sense one having skill in the art would understand the convention (e.g., “a system having at least one of A, B, and C” would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc.). In those instances where a convention analogous to “at least one of A, B, or C, etc.” is used, in general such a construction is intended in the sense one having skill in the art would understand the convention (e.g., “a system having at least one of A, B, or C” would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc.). It will be further understood by those within the art that virtually any disjunctive word and/or phrase presenting two or more alternative terms, whether in the description, claims, or drawings, should be understood to contemplate the possibilities of including one of the terms, either of the terms, or both terms. For example, the phrase “A or B” will be understood to include the possibilities of “A” or “B” or “A and B.”
Number | Name | Date | Kind |
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20050218967 | Rashid | Oct 2005 | A1 |
20180129239 | Lahiri | May 2018 | A1 |