CHARGE AMPLIFICATION CIRCUITS AND METHODS
20220416743 · 2022-12-29
Assignee
Inventors
- Roberto MODAFFARI (Pallanzeno, IT)
- Paolo Pesenti (Senago, IT)
- Mario MAIORE (Aci Sant'Antonio, IT)
- Tiziano CHIARILLO (Mascalucia, IT)
Cpc classification
H03F2200/375
ELECTRICITY
H03F2203/45526
ELECTRICITY
International classification
Abstract
A circuit includes an amplifier, a bias voltage node, and a first set of switches configured, based on a first reset signal having a first value, to couple first and second input nodes to the bias voltage node and to couple first and second output nodes of the amplifier. First and second feedback branches each include a respective RC network including a plurality of capacitances. The first and second feedback branches further include a second set of switches intermediate input nodes and the capacitances, and a third set of switches intermediate input nodes and the plurality of capacitances. These switches selectively couple the capacitances to the input nodes and output nodes, based on a second reset signal having a first value. The second reset signal keeps the first value for a determined time interval exceeding a time interval in which the first reset signal has the first value.
Claims
1. A circuit, comprising: an amplifier having a first input node and a second input node configured to be coupled to opposite ends of at least one capacitance to detect a capacitive variation signal indicative of variations in a capacitance value of the at least one capacitance, the amplifier having a first output node and a second output node, a bias voltage node configured to provide a bias voltage level, a first set of switches configured, based on a first reset signal having a first value, to couple the first and second input nodes of the amplifier to the bias voltage node and to couple therebetween the first and second output nodes of the amplifier, a first feedback branch coupled between the first output node and the first input node of the amplifier, the first feedback branch including a first RC network including a first and a second capacitance, a second feedback branch coupled between the second output node and the second input node of the amplifier, the second feedback branch including a second RC network including a third and a fourth capacitance, the first and second feedback branches further including: a second set of switches intermediate the first and second input nodes of the amplifier and the first, second, third and fourth capacitances, and a third set of switches intermediate the first and second output nodes of the amplifier and the first, second, third and fourth capacitances, wherein the switches in the second set of switches are configured to selectively couple one of the first and second capacitances in the first feedback branch and one of the third and fourth capacitances in the second feedback branch to the first and second input nodes of the amplifier based on a second reset signal having a first value, and the switches in the third set of switches are configured to selectively couple said one of the first and second capacitances in the first feedback branch and said one of the third and fourth capacitances in the second feedback branch to the first and second output nodes of the amplifier based on a second reset signal having a first value, wherein the first reset signal is configured to have a first value for a first time interval and to switch from the first value to a second value after the first time interval, and wherein, in response to the first reset signal switching from the first value to the second value, the second reset signal maintains said first value for a further time interval exceeding the first time interval during which the first reset signal has the first value.
2. The circuit of claim 1, wherein: the circuit includes a power supply of the amplifier, the power supply configured to be powered-down based on a power-down signal having a first value, the first time interval during which the first reset signal is configured to have the first value includes a first sub-interval and a second sub-interval, and the power-down signal has the first value during the first sub-interval and the second value during the second sub-interval, the power supply of the amplifier being powered-down during the first sub-interval as a result.
3. The circuit of claim 1, wherein: the amplifier has a signal amplification bandwidth, and the further time interval exceeding the time interval during which the first reset signal has the first value has a time duration that is a function of the signal amplification bandwidth of the amplifier.
4. The circuit of claim 1, wherein the amplifier is a fully differential operational trans-conductance amplifier, OTA.
5. The circuit of claim 1, wherein the second feedback branch is a replica of the first feedback branch.
6. The circuit of claim 1, wherein: the first feedback branch includes a parallel connection of the first capacitance and the second capacitance, said parallel connection arranged in parallel to a resistance, the second set of switches includes: a first switch interposed between the first input node of the amplifier and the first capacitance, a second switch interposed between the first input node of the amplifier and the second capacitance, and the third set of switches includes: a respective first switch interposed the first output node of the amplifier and the first capacitance, and a respective second switch interposed between the first output node of the amplifier circuit and the second capacitance.
7. The circuit of claim 1, wherein: the second feedback branch includes a parallel connection of the third capacitance and the fourth capacitance, said parallel connection arranged in parallel to a resistance, the second set of switches includes: a third switch interposed between the second input node of the amplifier and the third capacitance, a fourth switch interposed between the second input node of the amplifier and the fourth capacitance, and the third set of switches includes: a respective third switch interposed the second output node of the output nodes of the amplifier and the first capacitance in the second feedback branch, and a respective fourth switch interposed between the second output node of the amplifier circuit and the second capacitance.
8. A sensor device, comprising: at least one capacitance configured to transduce a variation of a physical quantity into a capacitive variation signal, a reference capacitor coupled to the at least one capacitance, the reference capacitor having a value of capacitance substantially equal to a value of capacitance at rest of the at least one capacitance, a circuit having input nodes coupled at ends of the at least one capacitance and at ends of the reference capacitor, the circuit including: an amplifier having a first input node and a second input node coupled to the ends of the at least one capacitance to detect a capacitive variation signal indicative of variations in a capacitance value of the at least one capacitance, the amplifier having a first output node and a second output node, a bias voltage node configured to provide a bias voltage level, a first set of switches configured, based on a first reset signal having a first value, to couple the first and second input nodes of the amplifier to the bias voltage node and to couple therebetween the first and second output nodes of the amplifier, a first feedback branch coupled between the first output node and the first input node of the amplifier, the first feedback branch including a first RC network including a first and a second capacitance, a second feedback branch coupled between the second output node and the second input node of the amplifier, the second feedback branch including a second RC network including a third and a fourth capacitance, the first and second feedback branches further including: a second set of switches intermediate the first and second input nodes of the amplifier and the first, second, third and fourth capacitances, and a third set of switches intermediate the first and second output nodes of the amplifier and the first, second, third and fourth capacitances, wherein the switches in the second set of switches are configured to selectively couple one of the first and second capacitances in the first feedback branch and one of the third and fourth capacitances in the second feedback branch to the first and second input nodes of the amplifier based on a second reset signal having a first value, and the switches in the third set of switches are configured to selectively couple said one of the first and second capacitances in the first feedback branch and said one of the third and fourth capacitances in the second feedback branch to the first and second output nodes of the amplifier based on a second reset signal having a first value; and control circuitry coupled to the circuit and configured to provide a first reset signal and a second reset signal thereto, wherein the first reset signal is configured to have a first value for a first time interval and to switch from the first value to a second value after the first time interval, and wherein, in response to the first reset signal switching from the first value to the second value, the second reset signal maintains said first value for a further time interval exceeding the first time interval during which the first reset signal has the first value.
9. The sensor of claim 8, comprising a further set of switches configured to couple an input node of the at least one capacitance and an input node of the reference capacitor to the bias voltage node based on the second reset signal having a first value.
10. The sensor of claim 8, wherein: the circuit includes a power supply of the amplifier, the power supply configured to be powered-down based on a power-down signal having a first value, the first time interval during which the first reset signal is configured to have the first value comprises a first sub-interval and a second sub-interval, and the power-down signal has a first value during the first sub-interval and a second value during the second sub-interval, the power supply of the amplifier being powered-down during the first sub-interval as a result.
11. The sensor of claim 8, wherein: the amplifier has a signal amplification bandwidth, and the further time interval exceeding the time interval during which the first reset signal has the first value has a time duration that is a function of the signal amplification bandwidth of the amplifier.
12. The sensor of claim 8, wherein the amplifier is a fully differential operational trans-conductance amplifier, OTA.
13. The sensor of claim 8, wherein the second feedback branch is a replica of the first feedback branch.
14. The sensor of claim 8, wherein: the first feedback branch includes a parallel connection of the first capacitance and the second capacitance, said parallel connection arranged in parallel to a resistance, the second set of switches includes: a first switch interposed between the first input node of the amplifier and the first capacitance, a second switch interposed between the first input node of the amplifier and the second capacitance, and the third set of switches includes: a respective first switch interposed the first output node of the amplifier and the first capacitance, and a respective second switch interposed between the first output node of the amplifier circuit and the second capacitance.
15. The sensor of claim 8, wherein: the second feedback branch includes a parallel connection of the third capacitance and the fourth capacitance, said parallel connection arranged in parallel to a resistance, the second set of switches includes: a third switch interposed between the second input node of the amplifier and the third capacitance, a fourth switch interposed between the second input node of the amplifier and the fourth capacitance, and the third set of switches includes: a respective third switch interposed the second output node of the output nodes of the amplifier and the first capacitance in the second feedback branch, and a respective fourth switch interposed between the second output node of the amplifier circuit and the second capacitance.
16. A method of operating a circuit according to claim 1, the method comprising: providing a bias voltage node configured to provide a bias voltage level; driving the first set of switches, based on a first reset signal, to couple the input nodes of the amplifier circuit to the bias voltage node and to couple the first and second output nodes of the amplifier circuit therebetween; driving switches in the second set of switches to selectively couple one of the first and second capacitances in the first feedback branch and one of the third and fourth capacitances in the second feedback branch to the first and second input nodes of the amplifier based on a second reset signal having a first value; driving the switches in the third set of switches to selectively couple said one of the first and second capacitances in the first feedback branch and said one of the third and fourth capacitances in the second feedback branch to the first and second output nodes of the amplifier based on a second reset signal having a first value; switching the first reset signal from the first value to a second value after elapse of a first time interval; and in response to the first reset signal switching from the first value to the second value, maintaining the second reset signal at said first value for a further time interval exceeding the first time interval during which the first reset signal has the first value.
17. The method of claim 16, further comprising: providing a power-down signal having the first value during a first sub-interval of the first time interval; providing the power-down signal having the second value during a second sub-interval of the first time interval; and powering down the power supply of the amplifier during the first sub-interval based on the power-down signal.
18. The method of claim 16, wherein the further time interval has a duration that is a function of a signal amplification bandwidth of the amplifier.
19. The method of claim 16, wherein the amplifier is a fully differential operational trans-conductance amplifier, OTA.
20. The method of claim 16, wherein the second feedback branch is a replica of the first feedback branch.
Description
BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS
[0016] One or more embodiments will now be described, by way of non-limiting example only, with reference to the annexed Figures, wherein:
[0017]
[0018]
[0019]
[0020]
[0021]
[0022]
DETAILED DESCRIPTION
[0023] In the ensuing description, one or more specific details are illustrated, aimed at providing an in-depth understanding of examples of embodiments of this description. The embodiments may be obtained without one or more of the specific details, or with other methods, components, materials, etc. In other cases, known structures, materials, or operations are not illustrated or described in detail so that certain aspects of embodiments will not be obscured.
[0024] Reference to “an embodiment” or “one embodiment” in the framework of the present description is intended to indicate that a particular configuration, structure, or characteristic described in relation to the embodiment is comprised in at least one embodiment. Hence, phrases such as “in an embodiment” or “in one embodiment” that may be present in one or more points of the present description do not necessarily refer to one and the same embodiment.
[0025] Moreover, particular conformations, structures, or characteristics may be combined in any adequate way in one or more embodiments.
[0026] Throughout the figures annexed herein, like parts or elements are indicated with like references/numerals and a corresponding description will not be repeated for brevity.
[0027] The references used herein are provided merely for convenience and hence do not define the extent of protection or the scope of the embodiments.
[0028] For the sake of simplicity, in the following detailed description a same reference symbol may be used to designate both a node/line in a circuit and a signal which may occur at that node or line.
[0029] As exemplified in
[0034] As mentioned, existing charge amplifier can present an offset error whose recovery time can exceed design constraints. This is due to a large time-constant defined from the big feedback resistance used to bias the virtual ground of this kind of circuits.
[0035] Reducing a start-up time in sensor interfaces is particularly relevant in cases where there is a cyclic transition from “normal” operating mode to the “power down” mode, and vice versa. Such a so-called “low power mode” is relevant for applications where power consumption is to be reduced, such as mobile devices having battery life constraints, for instance.
[0036] As exemplified in
[0037] As exemplified in
[0038] For instance, the capacitive displacement ΔC represents the “sensitivity” of the sensing capacitance C.sub.S in response to an external variation of the physical quantity to measure. Such a capacitive variation ΔC associated to the full-scale measurement spaces from 1 fF (1 fF=1 femtoFarad=10.sup.−15 Farad) to few tens of fF, for instance.
[0039] Taking into account the expression of the differential output voltage signal V.sub.OUT discussed in the foregoing and the reduced sensitivity ΔC, relevant in particular for certain kind of capacitive sensors such as MEMS sensors, for instance, it turns out that a high input voltage amplitude V.sub.R and small feedback capacitance C.sub.F facilitate providing an adequate amplification factor. For instance, an adequate amplification factor refers to a value of gain that properly addresses the performances involved in the whole readout chain.
[0040] In order to desirably limit a total power consumption of the whole system, the value of the input voltage V.sub.R may be constrained below power supply level. This leads to the feedback capacitance of the amplifier C.sub.F remaining as the main design knob available to increase the gain of the stage.
[0041] As exemplified in
[0042] As exemplified in
[0050] As exemplified in
[0051] As exemplified in
[0055] An arrangement as exemplified in
[0056]
[0057] As exemplified in
[0061] For instance, total capacitance C.sub.VG may be expressed as:
C.sub.VG=2C.sub.0+C.sub.G+C.sub.PAR
where: [0062] C.sub.0 is a value of the sensing capacitance of the sensing branches of the sensor C.sub.S and of the dummy capacitance C.sub.R, [0063] C.sub.G is the input capacitance of the OTA 100, and [0064] C.sub.PAR is a parasitic capacitance, e.g., of the sensor together with the routing. In one or more embodiments, the sensing capacitance C.sub.0 may have values in a range 100 fF−1 pF (1 pF=1 picoFarad=10.sup.−12 Farad), based on sensor (manufacturing) technology process.
[0065] In one or more embodiments, the (gate) capacitance C.sub.G of the OTA 100 may have values about hundreds of fF, in particular for a low noise OTA with low flicker and high input transconductance, for instance.
[0066] In one or more embodiments, the parasitic capacitance C.sub.PAR may have values in the range about 100 fF−1 pf, in particular as it takes into account the contribution of parasitic capacitance from the sensor (e.g., in the pF scale) and of the routing (e.g., hundreds of fF).
[0067] It may be possible to express the total offset charge Q.sub.OFS transferred on the feedback capacitance C.sub.F as:
Q.sub.OFS=V.sub.OFS.Math.C.sub.VG
[0068] As a result, the output signal in phase P.sub.2, as exemplified in
[0069] As exemplified in
[0070] As exemplified in
[0071] As exemplified in
[0072] A possible approach to tackle the offset issue is illustrated in
[0073] As exemplified in
[0074] A solution as exemplified in
[0075] For instance, the feedback gain attenuation has a positive impact on the stability of the circuit, reducing a Gain-BandWidth Product (briefly, GBWP) of the closed-loop amplifier by an amount equal to the ratio C.sub.VG/C.sub.F. For instance, this facilitates reducing current consumption of an output stage where a multi-stage OTA is used.
[0076] In existing solutions, a buffer configuration of the OTA may be used in order to cancel the offset-related error. In this case, there are no capacitive partitions and consequently no positive impact on the GBWP. This can lead to an increased risk of instability. To counter this increased instability, existing solutions envisage increasing current consumption. These solutions are hardly compatible with low power applications.
[0077] A solution as discussed herein facilitates offset cancellation while involving a reduced effort with respect to that associated to the stabilization of the OTA 100 at its GBWP frequency, consequently countering the otherwise involved increase of current consumption.
[0078] In one or more embodiments, introducing a delayed reset phase may facilitate overcoming aforementioned limitations in terms of stability and power consumption.
[0079] As exemplified in
[0085] For instance, the feedback capacitances C.sub.F1, C.sub.F2 in the feedback branches of the OTA 500 can be equal, e.g., C.sub.F1=C.sub.F2=C.sub.F.
[0086] A circuit as exemplified herein, comprises: [0087] an amplifier (for instance, 500) having a first input node (for instance, V.sub.INp) and a second input node (for instance, V.sub.INn configured to be coupled to opposite ends of at least one capacitance (for instance, C.sub.S, C.sub.D) to detect therefrom a capacitive variation signal (for instance, ΔC) indicative of variations in the value of the at least one capacitance, the amplifier (e.g., single stage or multi-stage OTA) having a first output node (for instance, V.sub.OUTp) and a second output node (for instance, V.sub.OUTn), [0088] a bias voltage node (for instance, V.sub.CM) configured to provide a bias voltage level, [0089] a first set of switches (for instance, S.sub.INp, S.sub.INn, S.sub.OUT) configured, based on a first reset signal (for instance, RST) having a first value, to couple the first and second input nodes of the amplifier to the bias voltage node and to couple therebetween the first and second output nodes of the amplifier, [0090] a first feedback branch (for instance, R.sub.F, C.sub.F1, C.sub.F2) comprising a first RC network including a first and a second capacitance (for instance, C.sub.F1, C.sub.F2), the first feedback branch coupled between the first output node and the first input node of the amplifier, [0091] a second feedback branch (for instance, R.sub.F, C.sub.F1, C.sub.F2) comprising a second RC network including a third and a fourth capacitance (for instance, C.sub.F1, C.sub.F2), the second feedback branch coupled between the second output node and the second input node of the amplifier, [0092] the first and second feedback branches further comprising: [0093] a second set of switches (for instance, SF1A, SF1C, SF2A, SF2C) intermediate the first and second input nodes of the amplifier and the first, second, third and fourth capacitances, and [0094] a third set of switches (for instance, SF1B, SF1D, SF2B, SF2D) intermediate the first and second output nodes of the amplifier and the first, second, third and fourth capacitances, [0095] wherein [0096] the switches in the second set of switches are configured to selectively couple one of the first and second capacitances in the first feedback branch and one of the third and fourth capacitances in the second feedback branch to the first and second input nodes of the amplifier based on a second reset signal (for instance, RSTD) having a first value, [0097] the switches in the third set of switches are configured to selectively couple said one of the first and second capacitances in the first feedback branch and said one of the third and fourth capacitances in the second feedback branch to the first and second output nodes of the amplifier (500) based on a second reset signal having a first value, [0098] wherein the first reset signal is configured to have a first value for a first time interval (for instance, P0, P1) and to switch (for instance, t.sub.2) from the first value to a second value after the first time interval, [0099] wherein, in response to the first reset signal switching from the first value to the second value, the second reset signal maintains said first value for a further time interval (for instance, P2, T.sub.DELAY) exceeding the first time interval during which the first reset signal has the first value.
[0100] As exemplified herein, the circuit comprises a power supply of the amplifier, the power supply configured to be powered-down based on a power-down (for instance, PD) signal having a first value, the first time interval in which the first reset signal is configured to have the first value comprises a first sub-interval (for instance, P0) and a second sub-interval (for instance, P1), the power-down signal has a first value during the first sub-interval and a second value during the second sub-interval, the power supply of the amplifier being powered-down during the first sub-interval as a result.
[0101] As exemplified herein, the amplifier has a signal amplification bandwidth and wherein the further time interval (for instance, P2, T.sub.DELAY) exceeding the time interval during which the first reset signal has the first value has a time duration that is a function of the signal amplification bandwidth of the amplifier.
[0102] As exemplified herein, the amplifier is a fully differential (e.g., multi stage or single stage) operational trans-conductance amplifier, OTA.
[0103] As exemplified herein, the second feedback branch is a replica of the first feedback branch.
[0104] For instance: [0105] the first feedback branch comprises the parallel connection of the first capacitance and the second capacitance, said parallel connection in turn arranged in parallel to a resistance (for instance, R.sub.F), [0106] the second set of switches comprises: [0107] a first switch (for instance, S.sub.F1A) interposed between the first input node of the amplifier and the first capacitance (for instance, C.sub.F1), [0108] a second switch (for instance, S.sub.F2A) interposed between the first input node of the amplifier and the second capacitance (for instance, C.sub.F2), [0109] the third set of switches comprises: [0110] a respective first switch (for instance, S.sub.F1B) interposed the first output node of the amplifier and the first capacitance, [0111] a respective second switch (for instance, S.sub.F2B) interposed between the first output node of the amplifier circuit and the second capacitance (for instance, C.sub.F2).
[0112] A sensor device (for instance, 50) as exemplified herein, comprises: [0113] at least one detecting capacitance (for instance, C.sub.S) configured to transduce a variation of a physical quantity into a capacitive variation signal (for instance, ΔC), [0114] a reference capacitive element (for instance, C.sub.R) coupled to the at least one capacitance, the reference capacitive element having a value of capacitance substantially equal to a value of capacitance at rest (for instance, C.sub.0) of the at least one capacitance, [0115] a circuit as per the present disclosure having input nodes (for instance, V.sub.INp, V.sub.INn coupled at ends of the at least one detecting capacitance and at ends of the reference capacitive element, [0116] control circuitry coupled to the circuit and configured to provide a first reset signal (for instance, RST) and a second reset signal (for instance, RSTD) thereto, [0117] wherein the first reset signal is configured to have a first value for a first time interval and to switch from the first value to a second value after the first time interval, [0118] wherein, in response to the first reset signal (RST) switching from the first value to the second value, the second reset signal maintains said first value for a further time interval (for instance, T.sub.DELAY) exceeding the first time interval (for instance, P0, P1) during which the first reset signal has the first value.
[0119] As exemplified herein, the sensor comprises a further set of switches (for instance, S.sub.IN1, S.sub.IN2) configured to couple an input node (for instance, V.sub.INn of the sensing capacitance and an input node (for instance, V.sub.IN2) of the reference capacitive element to the bias voltage node based on the second reset signal having a first value.
[0120] In one or more embodiments, performing a reset phase of the OTA stage 500 in the circuit 50 comprises: [0121] in a first reset phase, based on a first reset signal RST, coupling the virtual grounds and the shortcut of the two output nodes, and [0122] in a second reset phase, based on a second reset signal RSTD, performing further acts as discussed in the following, the second reset phase delayed of a time interval with respect to the first reset phase, the time interval determined based on a bandwidth of the OTA 500.
[0123] For instance, the second reset signal RSTD controls the feedback capacitance and input nodes of the OTA circuit 500, as discussed in the following.
[0124] As exemplified in
[0127] As exemplified in
[0128] As exemplified in
[0129] As exemplified in
[0130] As exemplified in
[0131] As exemplified in
[0132] A method of operating a circuit or a sensor device as per the present disclosure, comprises: [0133] providing a bias voltage node configured to provide a bias voltage level (for instance, V.sub.CM), [0134] driving the first set of switches (for instance, S.sub.INp), S.sub.INn, S.sub.OUT), based on a first reset signal (for instance, RST), to couple the input nodes of the amplifier circuit to the bias voltage node (V.sub.CM) and to couple the first and second output nodes of the amplifier circuit therebetween, [0135] driving switches in the second set of switches (for instance, S.sub.F1A, S.sub.F1C, S.sub.F2A, S.sub.F2C) to selectively couple one of the first (for instance, C.sub.F1) and second (for instance, C.sub.F2) capacitances in the first feedback branch (for instance, C.sub.F1, C.sub.F2, R.sub.F) and one of the third (for instance, C.sub.F1) and fourth (for instance, C.sub.F2) capacitances in the second feedback branch (for instance, R.sub.F, C.sub.F1, C.sub.F2) to the first (for instance, V.sub.INp) and second (for instance, V.sub.INn input nodes (for instance, V.sub.INn, V.sub.INp of the amplifier based on a second reset signal (for instance, RSTD) having a first value, and [0136] driving the switches in the third set of switches (for instance, S.sub.FIB, S.sub.F1D, S.sub.F2B, S.sub.F2D) to couple said one of the first and second capacitances in the first feedback branch and said one of the third and fourth capacitances in the second feedback branch to the first (for instance, V.sub.OUTp) and second (for instance, V.sub.OUTn) output nodes (V.sub.OUTn, V.sub.OUTp) of the amplifier based on a second reset signal (for instance, RSTD) having a first value, [0137] switching (for instance, t.sub.2) the first reset signal from the first value to a second value after elapse of a first time interval, [0138] in response to the first reset signal switching from the first value to the second value, maintaining the second reset signal at said first value for a further time interval (for instance, T.sub.DELAY) exceeding the first time interval (for instance, P0, P1) during which the first reset signal has the first value.
[0139] As exemplified in
[0140] It will be otherwise understood that the various individual implementing options exemplified throughout the figures accompanying this description are not necessarily intended to be adopted in the same combinations exemplified in the figures. One or more embodiments may thus adopt these (otherwise non-mandatory) options individually and/or in different combinations with respect to the combination exemplified in the accompanying figures.
[0141] Without prejudice to the underlying principles, the details and embodiments may vary, even significantly, with respect to what has been described by way of example only, without departing from the extent of protection.
[0142] The various embodiments described above can be combined to provide further embodiments. These and other changes can be made to the embodiments in light of the above-detailed description. In general, in the following claims, the terms used should not be construed to limit the claims to the specific embodiments disclosed in the specification and the claims, but should be construed to include all possible embodiments along with the full scope of equivalents to which such claims are entitled. Accordingly, the claims are not limited by the disclosure.