PROGRAMMABLE GAIN AMPLIFIER AND A DELTA SIGMA ANALOG-TO-DIGITAL CONVERTER CONTAINING THE PGA
20230110204 · 2023-04-13
Assignee
Inventors
Cpc classification
H03M3/464
ELECTRICITY
H03G1/0088
ELECTRICITY
H03M1/185
ELECTRICITY
H03F1/38
ELECTRICITY
H03M3/494
ELECTRICITY
International classification
H03M1/18
ELECTRICITY
H03F1/38
ELECTRICITY
Abstract
A circuit includes an operational amplifier and a resistor network coupled to an output of the operational amplifier. The resistor network includes a first set of resistors coupled between the output of the operational amplifier and a first node of the resistor network, wherein the resistors of the first set are electrically connected in series with each other, a second set of resistors coupled between the first node and a second node of the resistor network, wherein the resistors of the second set are electrically connected in series with each other and include a first number of resistors, a third set of resistors coupled between the second node and a third node of the resistor network, wherein the third node is coupled to a first voltage, and wherein the resistors of the third set are electrically connected in parallel with each other and include a second number of resistors, and a resistor coupled between the first node and the second node and arranged in parallel with the second set of resistors.
Claims
1. A circuit comprising: an operational amplifier (Op-Amp); a first set of resistors electrically connected in series with each other, the first set of resistor coupled to the Op-Amp; a second set of resistors electrically connected in series with each other, the second set of resistor coupled to the first set of resistors; a third set of resistors electrically connected in parallel with each, the third set of resistors coupled to the second set of resistors; and and a first resistor coupled between the first set of resistors and the second set of resistors, wherein the first resistor is coupled in parallel with the second set of resistors.
2. The circuit of claim 1, wherein: the third set of resistors is coupled to a ground reference.
3. The circuit of claim 1, wherein: the third set of resistors is coupled to a reference voltage.
4. The circuit of claim 1, wherein: the third set of resistors is coupled to a common mode voltage.
5. The circuit of claim 1, wherein the first set of resistors includes: a second resistor having a value equal to the first resistor.
6. The circuit of claim 5, wherein the first set of resistors includes: a third resistor having a value equal to twice a value of the first resistor; a fourth resistor having a value equal to three times the value of the third resistor; and a fifth resistor having a value equal to five times the value of the third resistor.
7. The circuit of claim 5, wherein the first set of resistors includes: a third resistor having a value equal to twice a value of the first resistor; a fourth resistor having a value equal to twice the value of the third resistor; and a fifth resistor having a value equal to twice the value of the fourth resistor.
8. The circuit of claim 1, wherein each resistor of the second set of resistors and the third set of resistors are equal to the first resistor.
9. The circuit of claim 1, comprising: a feedback path coupled to the Op-Amp; a set of switches, the set of switches including: a first switch comprising: a first terminal coupled to the Op-Amp; and a second terminal coupled to the feedback path; a second switch comprising: a first terminal coupled to a first set of resistors; and a second terminal coupled to the feedback path; and a third switch comprising: a first terminal coupled to a second set of resistors; and a second terminal coupled to the feedback path.
10. The circuit of claim 9, comprising: at least one additional switch, each of the at least one additional switches comprising a first terminal coupled to the feedback path and a second terminal coupled to and between two adjacent resistors of the first set of resistors.
11. The circuit of claim 9, comprising: at least one additional switch, each of the at least one additional switches comprising a first terminal coupled to the feedback path and a second terminal coupled to and between two adjacent resistors of the second set of resistors.
12. The circuit of claim 9, wherein: the Op-Amp has an inverting input; and the feedback path is coupled to the inverting input.
13. An electronic device comprising: a programmable gain amplifier including: a first operational amplifier coupled to a first node; and a first resistor network coupled to the first node, wherein the resistor network includes: a first set of resistors coupled to the first node and to a second node, wherein resistors of the first set are electrically connected in series between the first node and the second node; a second set of resistors coupled to the second node and a third node, wherein resistors of the second set are electrically connected in series between the second node and the third node and include a first number of resistors; a third set of resistors coupled to the third node and a first voltage, wherein resistors of the third set are electrically connected in parallel between the third node and the first voltage and include a second number of resistors; and a first resistor coupled to the second node and the third node.
14. The electronic device of claim 13, wherein the programmable gain amplifier further includes: a second operational amplifier coupled to a fourth node; and a second resistor network coupled to the second operational amplifier, wherein the second resistor network includes: a fourth set of resistors coupled to the fourth node and a fifth node, wherein the resistors of the fourth set are electrically connected in series with each other; a fifth set of resistors coupled to the fifth node and a sixth node, wherein resistors of the fifth set are electrically connected in series with each other and include a third number of resistors; a sixth set of resistors coupled to the sixth node and a second voltage, wherein resistors of the sixth set are electrically connected in parallel with each other and include a fourth number of resistors; and a second resistor coupled to the fifth node and the sixth node.
15. The electronic device of claim 14, wherein the second number is greater than the first number and equal to the fourth number and the first number is equal to the third number.
16. The electronic device of claim 15, wherein the second number and the fourth number are greater than the first number and the third number, respectively, by one.
17. The electronic device of claim 14, wherein the first and second resistors each have a same first resistance value, and wherein each resistor of the second, third, fifth, and sixth sets of resistors has a resistance value equal to the first resistance value.
18. The electronic device of claim 14, comprising: a first feedback path coupled to a first input of the first operational amplifier; a second feedback path coupled to a first input of the second operational amplifier; and a first set of switches including: a first switch having a first terminal coupled to the second node and a second terminal coupled to the first feedback path; a second switch having a first terminal coupled to the third node and a second terminal coupled to the first feedback path; and at least one additional switch, wherein each of the at least one additional switches of the first set of switches comprises a first terminal coupled to the first feedback path and a second terminal coupled to and between two adjacent resistors from either the first set of resistors or the second set of resistors.
19. The electronic device of claim 18, comprising: a second set of switches including: a third switch having a first terminal coupled to the fifth node and a second terminal coupled to the second feedback path; a fourth switch having a first terminal coupled to the sixth node and a second terminal coupled to the second feedback path; and at least one additional switch, wherein each of the at least one additional switches of the second set of switches comprises a first terminal coupled to the second feedback path and a second terminal coupled to and between two adjacent resistors from either the fourth set of resistors or the fifth set of resistors.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0007] Embodiments of the present disclosure are illustrated by way of example, and not by way of limitation, in the figures of the accompanying drawings in which like references indicate similar elements. It should be noted that different references to “an” or “one” embodiment in this disclosure are not necessarily to the same embodiment, and such references may mean at least one. Further, when a particular feature, structure, or characteristic is described in connection with an embodiment, it is submitted that it is within the knowledge of one skilled in the art to effect such feature, structure, or characteristic in connection with other embodiments whether or not explicitly described. As used herein, the term “couple” or “couples” is intended to mean either an indirect or direct electrical connection unless qualified as in “communicably coupled” which may include wireless connections. Thus, if a first device couples to a second device, that connection may be through a direct electrical connection, or through an indirect electrical connection via other devices and connections.
[0008] The accompanying drawings are incorporated into and form a part of the specification to illustrate one or more exemplary embodiments of the present disclosure. Various advantages and features of the disclosure will be understood from the following Detailed Description taken in connection with the appended claims and with reference to the attached drawing figures in which:
[0009]
[0010]
[0011]
[0012]
[0013]
[0014]
[0015]
[0016]
[0017]
[0018]
[0019]
[0020]
DETAILED DESCRIPTION OF THE DRAWINGS
[0021] Specific embodiments of the invention will now be described in detail with reference to the accompanying figures. In the following detailed description of embodiments of the invention, numerous specific details are set forth in order to provide a more thorough understanding of the invention. However, it will be apparent to one of ordinary skill in the art that the invention may be practiced without these specific details. In other instances, well-known features have not been described in detail to avoid unnecessarily complicating the description.
[0022]
The drive current I.sub.DRIVE is given by the equation:
[0023]
[0024] PGA 100B requires the equivalent of 128 unit resistors, a sum of the individual resistances (R) of all of the resistors in the feedback loop. In accordance with Equation 1; each successive resistor in this embodiment doubles the gain of PGA 100B. When switch S1 is closed, the entire output voltage V.sub.OUT is provided to the feedback loop and PGA 100B has a gain of 1. When switch S2 is closed, the gain is 2; when switch S3 is closed, the gain is 4. Similarly, closing switch S4 gives a gain of 8; closing switch S5 gives a gain of 16; closing switch S6 provides a gain of 32; closing switch S7 provides a gain of 64; and closing switch S8 provides a gain of 128.
[0025] In comparing different PGAs, several numbers are of interest, such as the resistance of a unit resistor R.sub.UNIT (shown as simply R in the figures), the total resistance in the feedback loop, i.e., the sum of the values of all of the resistors in the feedback loop, which determines the size of the feedback loop when implemented in silicon, and the equivalent resistance R.sub.EQ, which is the actual resistance experienced by the overall feedback loop at maximum gain. R.sub.EQ can be calculated using the following formula:
[0026] For example, when designed to operate with an output voltage V.sub.OUT of 0.5 V and a drive current of 100 .Math.A, R.sub.EQ is equal to 0.5V/0.0001 A or 5 kohm. To work in the design of PGA 100B, R.sub.UNIT is 39.0625 ohms. Using a value of R.sub.UNIT that is less than 40 ohms does not allow any leeway for process variation during silicon processing. This specific design combination is therefore not suitable for industrial silicon design.
[0027] The R.sub.UNIT for this design can, of course, be designed to be larger and more suitable for industrial processes. For example, if R.sub.UNIT is set to 500 ohms, with V.sub.OUT remaining equal to 0.5 V, the equivalent resistance is 128*R.sub.UNIT or 64 kohms, R.sub.TOTAL is also 128*R.sub.UNIT or 64 kohms and I.sub.DRIVE is 7.8125 .Math.A. The embodiment of PGA 100B requires a large area for the implementation of the resistors but provides only poor performance.
[0028] An alternate prior art embodiment that provides a programmable gain between 1 and 128 is shown in
[0029] Switches S1-S8 are coupled to tap the series of resistors R46-R53 before each successive resistor. As in the previous example, closing a successive switch from left to right doubles the gain, so that closing switch S1 provides a gain of 1, closing switch S2 provides a gain of 2, switch S3 provides a gain of 4; closing switch S4 provides a gain of 8; closing switch S5 provides a gain of 16; closing switch S6 provides a gain of 32; closing switch S7 provides a gain of 64; and closing switch S8 provides a gain of 128.
[0030] PGA 100C requires the equivalent of 20 unit resistors. If the same drive current of 100 .Math.A as in the previous example is utilized with V.sub.OUT equal to 0.5 V, R.sub.UNIT is equal to 2.5 kohms, R.sub.EQ is equal to 2*R.sub.UNIT or 5 kohms and R.sub.TOTAL is equal to 20*R.sub.UNIT or 50 kohms. Thus, this embodiment requires a large area for implementation under this first set of conditions. If a unit resistance of 500 ohms is utilized instead, R.sub.EQ is 1 kohm, I.sub.DRIVE is 500 .Math.A and R.sub.TOTAL is 10 kohms. This embodiment has high power requirements under this second set of conditions.
[0031]
[0032] The first set of resistors 102 includes resistor R1 having a resistance of 8R, resistor R2 having a resistance of 4R, resistor R3 having a resistance of 2R and resistor R4 having a resistance of 1R. Switches S1-S5 are coupled to tap the series of resistors R1-R4 before and after each resistor in the first set of resistors. Switch S1 provides a gain of 1, switch S2 provides a gain of 2, switch S3 provides a gain of 4, switch S4 provides a gain of 8 and switch S5 provides a gain of 16.
[0033] The second set of resistors 104 includes resistor R12 coupled in parallel with series-coupled resistors R5-R11 between node 108 and node 110, with each of resistors R5, R6, R7, R8, R9, R10, R11, R12 being unit resistors. Switches S6, S7 and S8 are coupled respectively to a point between resistors R8/R9, to a point between resistors R10/R11 and to node 110. Switch S6 provides a gain of 32, switch S7 provides a gain of 64 and switch S8 provides a gain of 128. The third set of resistors 106 includes eight resistors R13-R20 coupled in parallel between node 110 and the lower rail, each of resistors R13, R14, R15, R16, R17, R18, R19, R20 having a resistance of 1R. The equivalent resistance of the combined second and third sets of resistors is only 1R, yet this portion of the resistor network provides three additional taps to extend the gain offered without significantly increasing the equivalent resistance of the entire network.
[0034] The thermal noise of a resistor or resistor network is determined by the following equation:
where Sv(f) is the voltage spectral density, k = 1.38 × 10.sup.-23 J/K is the Boltzman constant, and T is the absolute temperature of the resistor in Kelvin. It can be understood from this equation that reducing the equivalent resistance of the resistor network also reduces the thermal noise provided by that resistor network. Accordingly, the layout the resistor network of PGA 100A can reduce the thermal noise as compared to at least some prior art embodiments.
[0035] PGA 100A requires 31 unit resistors. When the PGA is designed for a drive current of 100 .Math.A and a V.sub.OUT of 0.5 V, R.sub.UNIT is equal to 312.5 ohms, R.sub.EQ is equal 16*R.sub.UNIT or 5 kohms, and R.sub.TOTAL is equal to 31*R.sub.UNIT or 9.6875 kohms. If R.sub.UNIT is set to 500, as in the second set of previous examples, R.sub.EQ is equal to 8 kohms, I.sub.DRIVE is equal to V.sub.OUT/R.sub.EQ or 62.5 .Math.A and R.sub.TOTAL 31*R.sub.UNIT or 15.5 kohms.
[0036] A side-by side comparison of the embodiments of PGA 100A, 100B, 100C is shown below, first with a constant drive current in Table 1 and then with a constant unit of resistance in Table 2:
TABLE-US-00001 PGA I.sub.DRIVE (.Math.A) V.sub.OUT (V) # Unit resistors R.sub.UNIT (Ω) R.sub.EQ (kΩ) R.sub.TOTAL (kΩ) 100A 100 0.5 31 312.5 5 9.6875 100B 100 0.5 128 39.0625 5 5 100C 100 0.5 20 2500 5 50
In embodiments having the same drive current, PGA 100A requires a much small number of unit resistors compared to PGA 100B. As mentioned previously, at the voltage and drive current shown in this figure, PGA 100B is not even viable for reproduction in silicon. Additionally, PGA 100A utilizes much less area to implement the resistor array compared to PGA 100C.
TABLE-US-00002 PGA I.sub.DRIVE (.Math.A) V.sub.OUT (V) # Unit resistors R.sub.UNIT (Ω) R.sub.EQ (kΩ) R.sub.TOTAL (kΩ) 100A 62.5 0.5 31 500 8 15.5 100B 7.8125 0.5 128 500 64 64 100C 500 0.5 20 500 1 10
Comparing the three embodiments using equal units of resistance, PGA 100A occupies much less area than PGA 100B and thus provides cost savings. PGA 100A also provides better matching with fewer matching units and less thermal noise compared with PGA 100B. Using equal units of resistance, PGA 100A requires much less power than PGA 100C due to the lower drive current.
[0037] The examples in
[0038] In contrast, each operational amplifier 202, 204 of PGA 200A includes a resistor array with three resistor sets 206, 208, 210. Resistor set 206 includes three resistors coupled in series between the output node of the operational amplifier and a first node 212 and having respective resistances of 4R, 2R and 1R. Second resistor set 208 includes three resistors coupled in series between node 212 and node 214 and a further resistor coupled in parallel to the three resistors between node 212 and node 214. Finally, the third set 210 includes four resistors coupled in parallel between node 214 and a common mode voltage V.sub.CM; each of the resistors in the second and third sets has a resistance of 1R. The resistor arrays in the respective feedback loops of operational amplifiers 202, 204 in PGA 200A each requires a resistance of 15R for a total resistance in PGA 200A of 30R. As in the prior comparison, when the two implementations are designed with equal drive currents, PGA 200A requires much less area than PGA 200B. When compared to PGA 200B with equal drive currents, the embodiment of PGA 200A requires a much smaller number of units of resistance and achieves better matching. When the implementations are designed with equal values of R.sub.UNIT, PGA 200A occupies much less area than PGA 200B.
[0039]
[0040] PGA 300A has the same general layout as in
[0041]
[0042] Resistor set 414 includes N-1 resistors 415 coupled in series between resistor network node 406 and resistor network node 408, where N is an integer, and also includes resistor 418, which is coupled between resistor network node 406 and resistor network node 408 in parallel with resistors 415. Each of the resistors in resistor set 414 is a unit resistor. Switches 416 are generally not located after each of the series-coupled resistors in resistor set 415, but rather are placed after selected resistors in resistor set 415 to provide appropriate values for feedback voltage V.sub.FB and determine desired gain. Finally, resistor set 420 includes N resistors coupled in parallel between resistor network node 408 and reference voltage V.sub.REF, with all of the resistors in resistor network 420 being unit resistors. It will be understood that although the embodiment of
[0043]
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[0045]
[0046] Output V.sub.OUT of operational amplifier 606 is provided through resistor R80 to a point between resistor R77 and the inverting input of operational amplifier 606, while a point between resistor R78 and the non-inverting input of operational amplifier 606 is coupled through resistor R81 to a reference voltage V.sub.REF. Variable resistor R74 is coupled between the output node of operational amplifier 602 and the output node of operational amplifier 604 and determines the gain of instrumentation amplifier 600. Instrumentation amplifier 600 can be implemented with programmable gain by implementing resistor R74 as resistor network 405.
[0047] Applicant has disclosed a programmable gain operational amplifier and a programmable gain instrumentation amplifier that can provide improvements in one or more of CMRR, resistor matching, gain error, area required and power required as compared to prior art PGAs providing the same selectable gain. The disclosed PGA is suitable for use with a ΔΣ ADC.
[0048] Although various embodiments have been shown and described in detail, the claims are not limited to any particular embodiment or example. None of the above Detailed Description should be read as implying that any particular component, element, step, act, or function is essential such that it must be included in the scope of the claims. Reference to an element in the singular is not intended to mean “one and only one” unless explicitly so stated, but rather “one or more.” All structural and functional equivalents to the elements of the above-described embodiments that are known to those of ordinary skill in the art are expressly incorporated herein by reference and are intended to be encompassed by the present claims. Accordingly, those skilled in the art will recognize that the exemplary embodiments described herein can be practiced with various modifications and alterations within the spirit and scope of the claims appended below.