Temperature sensor calibration
09804036 · 2017-10-31
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Inventors
Cpc classification
International classification
Abstract
Representative implementations of devices and techniques provide calibration for a chip-based temperature sensor. Two or more measurements are taken using a high resolution temperature sensor digitizer, and used to determine a calibration for the temperature sensor, based on a reference temperature value calculated from the measurements.
Claims
1. An apparatus, comprising: one or more bipolar devices arranged to provide a first analog input and a second analog input, wherein the second analog input is based on a difference in base-emitter voltages of the one or more bipolar devices; an analog-to-digital converter (ADC) arranged to compare the first analog input and the second analog input; and a multiplexer arranged to substitute an external reference voltage for the second analog input, wherein the ADC is further arranged to: compare the first analog input and the external reference voltage; output a first digital result based on comparing the first analog input and the second analog input; output a second digital result based on comparing the first analog input and the external reference voltage; and output a third digital result representing a reference temperature based on the first digital result, the second digital result, and the external reference voltage.
2. The apparatus of claim 1, wherein the multiplexer is further arranged to determine which of the second analog input and the external reference voltage to be compared with the first analog input at the ADC.
3. The apparatus of claim 1, further comprising a digital filter component arranged to filter an output of the ADC.
4. The apparatus of claim 1, wherein the one or more bipolar devices comprise bipolar junction transistor devices.
5. The apparatus of claim 1, wherein the one or more bipolar devices comprise sub-threshold metal-oxide-semiconductor transistor devices.
6. The apparatus of claim 1, wherein the first analog input comprises a base-emitter voltage of a bipolar device comprising one of the one or more bipolar devices.
7. The apparatus of claim 1, wherein the first analog input comprises a gate-source voltage of a sub-threshold metal-oxide-semiconductor transistor device comprising one of the one or more bipolar devices, and wherein the second analog input comprises a difference between gate-source voltages of one or more sub-threshold metal-oxide-semiconductor transistor devices comprising the one or more bipolar devices.
8. The apparatus of claim 1, wherein the ADC is arranged to output the third digital result representing the reference temperature based on the first digital result, the second digital result, and an ideality factor, wherein the ideality factor is based on the difference in the base-emitter voltages and a collector current at a known temperature.
9. The apparatus of claim 1, wherein the ADC is arranged to output the third digital result by at least calculating ΔV.sub.BE according to a formula:
ΔV.sub.BE=D1*V.sub.EXT/(D2*α) wherein ΔV.sub.BE is the difference in the base-emitter voltages of the one or more bipolar devices, wherein V.sub.EXT is the external reference voltage, wherein D1 is the first digital result, wherein D2 is the second digital result, and wherein α is a scaling factor applied to ΔV.sub.BE.
10. The apparatus of claim 1, wherein the ADC is arranged to output the third digital result by at least calculating ΔV.sub.BE according to a formula:
ΔV.sub.BE=(V.sub.EXT/α)*{D1/(1-D1)}*{(1-D2a)D2a} wherein ΔV.sub.BEis the difference in the base-emitter voltages of the one or more bipolar devices, wherein V.sub.EXT is the external reference voltage, wherein D1 is the first digital result, wherein D2 is the second digital result, and wherein α is a scaling factor applied to ΔV.sub.BE.
11. The apparatus of claim 1, wherein the ADC is arranged to output the third digital result by at least calculating ΔV.sub.BE according to a formula:
ΔV.sub.BE=D1*V.sub.EXT/D2 wherein ΔV.sub.BEis the difference in the base-emitter voltages of the one or more bipolar devices, wherein V.sub.EXT is the external reference voltage, wherein D1 is the first digital result, wherein D2 is the second digital result, and wherein α is a scaling factor applied to ΔV.sub.BE.
12. The apparatus of claim 1, wherein the ADC is arranged to output the third digital result by at least calculating ΔV .sub.BE according to a formula:
ΔV.sub.BE=V.sub.EXT*D2/D1 wherein ΔV .sub.BE is the difference in the base-emitter voltages of the one or more bipolar devices, wherein V.sub.EXT is the external reference voltage, wherein D1 is the first digital result, wherein D2 is the second digital result, and wherein α is a scaling factor applied to ΔV .sub.BE.
13. A method, comprising: providing a first analog input and a second analog input from at least one bipolar device of a digital temperature sensor, wherein the second analog input is based on a difference in base-emitter voltages of the at least one bipolar device; receiving the first analog input and the second analog input at an analog-to-digital converter (ADC) of the digital temperature sensor; taking a first measurement with the digital temperature sensor to get a first digital result; substituting an external reference voltage for the second analog input; taking a second measurement with the digital temperature sensor to get a second digital result; determining the difference in the base-emitter voltages of the at least one bipolar device based on the first digital result and the second digital result; and determining a reference temperature based on the difference in the base-emitter voltages of the at least one bipolar device.
14. The method of claim 13, further comprising multiplexing the second analog input and the external reference voltage to the ADC, based on whether the first or second measurement is being taken.
15. The method of claim 13, further comprising determining the reference temperature based on the difference in base-emitter voltages of the at least one bipolar device divided by a reference voltage comprising the base-emitter voltage of one of the bipolar devices.
16. The method of claim 15, further comprising also determining the reference temperature based on the external reference voltage divided by the reference voltage comprising the base-emitter voltage of the at least one bipolar device.
17. The method of claim 13, further comprising determining the reference temperature based on a reference voltage comprising the base-emitter voltage of the at least one bipolar device divided by the difference in base-emitter voltages of the at least one bipolar device.
18. The method of claim 17, further comprising also determining the reference temperature based on the reference voltage comprising the base-emitter voltage of the at least one bipolar device divided by the external reference voltage.
19. The method of claim 13, further comprising comparing a temperature measured by a temperature sensor to the reference temperature to calibrate the temperature sensor.
20. The method claim 13, wherein the bipolar device comprises sub-threshold metal-oxide-semiconductor (MOS) devices, referencing the gate-source voltage (V.sub.GS) of the MOS devices.
21. The method of claim 13, further comprising determining the reference temperature inclusive of a temperature dependent ideality factor q contribution using electrical measurements of ΔV.sub.BEand V.sub.BE, wherein ΔV.sub.BE is the difference in base-emitter voltages of the at least one bipolar device, and wherein V.sub.BEis a reference voltage comprising the base-emitter voltage of the at least one bipolar device.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The detailed description is set forth with reference to the accompanying figures. In the figures, the left-most digit(s) of a reference number identifies the figure in which the reference number first appears. The use of the same reference numbers in different figures indicates similar or identical items.
(2) For this discussion, the devices and systems illustrated in the figures are shown as having a multiplicity of components. Various implementations of devices and/or systems, as described herein, may include fewer components and remain within the scope of the disclosure. Alternately, other implementations of devices and/or systems may include additional components, or various combinations of the described components, and remain within the scope of the disclosure.
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DETAILED DESCRIPTION
(10) Overview
(11) Representative implementations of devices and techniques provide calibration for a chip-based temperature sensor. To calibrate a temperature sensor, a reference temperature with accuracy better than the temperature sensor is desired. The output of the temperature sensor can then be compared to the reference temperature for calibration purposes.
(12) In various aspects, two or more measurements are taken using a high resolution temperature sensor digitizer (TSD). The reference temperature may be calculated from the measurements, based on a base-emitter voltage (V.sub.BE) (i.e., internal reference voltage) and/or a difference in the base-emitter voltages (ΔV.sub.BE) of two or more bipolar devices used by the TSD. Alternately, ΔV.sub.BE can also be obtained from one bipolar device biased by at least two different currents. The comparison of the reference temperature calculated and the temperature measured by the temperature sensor can be used to determine a trim for the temperature sensor. The devices and techniques described herein may be used to calibrate individual temperature sensor components (e.g., packaged or un-packaged), as well as calibrate multiple temperature sensors on a production wafer.
(13) In an implementation, the base-emitter voltage (V.sub.BE) and the difference in base-emitter voltages (ΔV.sub.BE) are inputs to an analog-to-digital converter (ADC) of the TSD. In the implementation, at least one measurement is taken with these inputs present. Additionally, one or more of the measurements are taken while substituting one of the base-emitter voltage (V.sub.BE) or the difference in base-emitter voltages (ΔV.sub.BE) with a predefined external reference voltage, a derived reference voltage, or the like.
(14) In other implementations, the difference in base-emitter voltages (ΔV.sub.BE) is calculated while using the base-emitter voltage (V.sub.BE) and the predefined external reference voltage (V.sub.EXT) as inputs for one or more of the measurements. In the implementations, the reference temperature is calculated based on the difference in base-emitter voltages (ΔV.sub.BE) derived.
(15) Various implementations and techniques for calibrating a temperature sensor arrangement are discussed in this disclosure. Techniques and devices are discussed with reference to example devices and systems illustrated in the figures that use analog-to-digital converters (ADC), modulators, or like components. In some cases, sigma-delta ADC designs are shown and discussed. However, this is not intended to be limiting, and is for ease of discussion and illustrative convenience. The techniques and devices discussed may be applied to any of various modulator or ADC device designs, structures, and the like (e.g., successive-approximation ADC (SA-ADC), direct-conversion ADC, flash ADC, ramp-compare ADC, integrating ADC (also referred to as dual-slope or multi-slope ADC), counter-ramp ADC, pipeline ADC, sigma-delta ADC, time interleaved ADC, intermediate FM stage ADC, etc.), and remain within the scope of the disclosure.
(16) Implementations are explained in more detail below using a plurality of examples. Although various implementations and examples are discussed here and below, further implementations and examples may be possible by combining the features and elements of individual implementations and examples.
(17) Example TSD Arrangement
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(19) For the purposes of this disclosure, a digital result (e.g., digital output) may be described as a digital approximation of an analog input. For example, a digital result may include a digital representation that is proportional to the magnitude of the voltage or current of the analog input(s), at a point in time and/or over a selected duration. The digital representation may be expressed in various ways (e.g., base 2 binary code, binary coded decimal, voltage values, electrical or light pulse attributes, and the like).
(20) In an implementation, the base-emitter reference voltage V.sub.BE and/or the difference in base-emitter voltages ΔV.sub.BE are based on two or more bipolar devices within the bipolar core 102. The bipolar devices may include bipolar junction transistors, diodes, or like devices. Alternately, the bipolar devices of the bipolar core 102 may comprise sub-threshold metal-oxide-semiconductor (MOS) devices, referencing the gate-source voltage (V.sub.GS) of the MOS devices as the reference voltage.
(21) As shown in
(22) In various implementations, the temperature error of a temperature sensor can be determined by comparing the temperature reading of the sensor with a reference temperature derived from the TSD 100, while both are in the same thermal environment. In one implementation, the reference temperature can be derived from the difference in base-emitter voltages (ΔV.sub.BE), using the formula:
ΔV.sub.BE=(ηkT/q)*Ln(N) (Equation 1)
where k is the Boltzmann constant, q is electric charge, T is absolute temperature (° Kelvin), Ln is the natural logarithm function, N is a number based on a desired design ratio (e.g., the ratio of PNP emitter areas or bias currents, for example), and η is the ideality factor (i.e., forward emission coefficient) which may deviate from unity in some CMOS technologies.
(23) For example, once ΔV.sub.BE is known, the temperature (in ° K) can be derived from Equation 1 as:
T=q*ΔV.sub.BE/{ηk*Ln(N)} (Equation 1a)
(24) For an accurate temperature T measurement in some applications, the value of η is desired to be known. A separate batch calibration is sometimes used to determine the value of η. For example, one technique for determining the value of η is via the relationship:
V.sub.BE=(ηkT/q)*Ln(I.sub.C/I.sub.S) (Equation 2)
where I.sub.C is the collector current and I.sub.S is the reverse saturation current of the base-emitter junction.
(25) From the slope of V.sub.BE versus Ln(I.sub.C) at a known temperature T, η can be calculated, assuming that η is process dependent (the same value for each batch) but temperature independent. However, when used to model the reverse Early effect, η is temperature dependent.
(26) Example Implementations
(27) In various implementations, alternative techniques may be applied that use the TSD 100 to determine ΔV.sub.BE, and to determine a reference temperature, via equations 1 and 1a. In the implementations, the techniques will have the same inherent advantages of faster calibration time and simpler equipment set-up, relative to thermal calibration, for example. In addition, the ideality factor η contribution is also included in the techniques, making separate batch calibration unnecessary. In some implementations, the η factor can be measured as part of the calibration, which can be useful since the η value also impacts precision bandgap reference voltage performance.
(28) In one implementation, the value of ΔV.sub.BE is determined by taking two measurement values of D.sub.OUT (values D1 and D2) using the TSD 100, as illustrated in
(29) For example, the modulator 106 arrangement at
D1=α*ΔV.sub.BE/(α*ΔV.sub.BE+V.sub.BE) (Equation 3)
(30) For the measurement D2, the modulator 106 at either
D2=V.sub.EXT/(α*ΔV.sub.BE+V.sub.BE) (Equation 4)
(31) Using the two measurements D1 and D2 from the TSD 100, ΔV.sub.BE can be determined by the formula:
ΔV.sub.BE=D1*V.sub.EXT/(D2*α) (Equation 5)
(32) Accordingly, the reference temperature (T) is determined using equations 1 and 1a. The relative errors can be analyzed using the following formula:
∂T=∂ΔV.sub.BE≦∂D1+∂D2+∂V.sub.EXT+∂α (Equation 6)
where ∂x=Δx/x.
(33) To avoid the use of the additional input to the ADC 104, the modulator 106 at
D2a=V.sub.EXT/(V.sub.EXT+V.sub.BE) (Equation 7)
(34) Using the two measurements D1 and D2a from the TSD 100, ΔV.sub.BE can be determined by the formula:
ΔV.sub.BE={D1/(D2a*α)}*{(1−D2a)/(1−D1)}*V.sub.EXT =(V.sub.EXT/α)*{D1/(1−D1)}*{(1−D2a)/D2a} (Equation 8)
(35) Accordingly, the reference temperature (T) is determined using equations 1 and 1a. The relative errors can be analyzed using the formula:
∂T=∂ΔV.sub.BE≦∂D1/(1−D1)+∂D2a/(1−D2a)+∂V.sub.EXT+∂α (Equation 9)
(36) In another implementation, the value of ΔV.sub.BE is determined by taking two measurement values of D.sub.OUT (values D1 and D2) using the TSD 300, as illustrated in
(37) For the first measurement resulting in output D1, the two inputs ΔV.sub.BE and V.sub.BE are processed at the ADC 104, with the resulting value comprising ΔV.sub.BE/V.sub.BE. This value is digitized at the ADC 104:
D1=ΔV.sub.BE/V.sub.BE (Equation 10)
(38) This can be processed at the digital backend 304, forming the measurement output D.sub.OUT which is alternate representation of Equation 3.
D.sub.OUT=α*(ΔV.sub.BE/V.sub.BE)/{α*(ΔV.sub.BE/V.sub.BE)+1}=α*D1/(α*D1+1) (Equation 3a)
(39) For the measurement of D2, an external reference voltage V.sub.EXT is used as an input to the ADC 104, in substitution for ΔV.sub.BE, as shown in
(40) For D2, the two inputs V.sub.EXT and V.sub.BE are processed at the ADC 104, with the resulting value comprising V.sub.EXT/V.sub.BE. This value is digitized at the ADC 104 forming the measurement output D2. D2 can be expressed with the formula:
D2=V.sub.EXT/V.sub.BE (Equation 11)
(41) Using the two measurements D1 and D2 from the TSD 300, ΔV.sub.BE can be determined by the formula:
ΔV.sub.BE=D1*V.sub.BE=D1*V.sub.EXT/D2 (Equation 12)
(42) Accordingly, the reference temperature (T) is determined using equations 1 and 1a. The relative errors can be analyzed using the formula:
∂T=∂ΔV.sub.BE≦∂D1+∂D2+∂V.sub.EXT (Equation 13)
(43) In another implementation, the value of ΔV.sub.BE is determined by taking two measurement values of D.sub.OUT (values D1 and D2) using the TSD 500, as illustrated in
(44) As in the TSD 100, the bipolar core 102 of the TSD 500 provides the two inputs (V.sub.BE and ΔV.sub.BE, in the case of D1 measurement) to the ADC 104, based on the bipolar junction components (or MOS components, etc.) of the bipolar core 102. In an implementation, the output of the ADC 104 is the digital value X, which is equal to V.sub.BE/ΔV.sub.BE for measurement D1.
D1=V.sub.BE/ΔV.sub.BE (Equation 14)
This can be processed at the digital backend 304, forming the measurement output D.sub.OUT which is alternate representation of Equation 3.
D.sub.OUT=α/{α+(V.sub.BE/ΔV.sub.BE)}=α/(α+D1) (Equation 3b)
(45) For the measurement of D2, an external reference voltage V.sub.EXT is used as an input to the ADC 104, in substitution for ΔV.sub.BE, as shown in
(46) In an implementation, a multiplexer (MUX) 602 (or like circuit) is used with the TSD 500, to determine between inputs ΔV.sub.BE and V.sub.EXT for the input opposite V.sub.BE, for the first (D1) and second (D2) measurements, respectively. As shown, the alternative input signal is represented by (V.sub.X) in the illustration of
(47) For D2, the two inputs V.sub.EXT and V.sub.BE are processed at the ADC 104, with the resulting value comprising X=V.sub.BE/V.sub.EXT. This value is digitized at the ADC 104 forming the measurement output D2. D2 can be expressed with the formula:
D2=V.sub.BE/V.sub.EXT (Equation 15)
(48) Using the two measurements D1 and D2 from the TSD 500, ΔV.sub.BE can be determined by the formula:
ΔV.sub.BE=V.sub.BE/D1=V.sub.EXT*D2/D1 (Equation 16)
(49) Accordingly, the reference temperature (T) is determined using equations 1 and 1a. The relative errors can be analyzed using the formula:
∂T=∂ΔV.sub.BE≦∂D1+∂D2+∂V.sub.EXT (Equation 17)
Additional Implementations
(50) When used with a TSD 100, 300, or 500 to model the reverse Early effect, the ideality factor (i.e. forward emission coefficient) η is temperature dependent and can be derived to be:
1/η=1−(V.sub.th/V.sub.BE)*Ln {1+V.sub.BE/V.sub.AR} (Equation 18)
where V.sub.th is the thermal voltage (kT/q) and V.sub.AR is the reverse Early voltage.
Other derivations are also possible:
1/η=1−(V.sub.th/V.sub.AR)/{1+V.sub.BE/V.sub.AR} (Equation 18a)
1/η=1−(V.sub.th/V.sub.B) (Equation 18b)
where V.sub.B is a forward bias Early voltage.
(51) Substituting Equation 18 into Equation 1 gives
V.sub.th=kT/q=ΔV.sub.BE/Ln{N(1+V.sub.BE/V.sub.AR).sup.(ΔV.sub.BE.sup./V.sub.BE.sup.)}, and
T=(q/k)ΔV.sub.BE/Ln{N(1+V.sub.BE/V.sub.AR).sup.(ΔV.sub.BE.sup./V.sub.BE.sup.)} (Equation 19)
Substituting Equation 18a into Equation 1 gives
V.sub.th=kT/q=ΔV.sub.BE/{Ln(N)+(ΔV.sub.BE/V.sub.AR)/(1+V.sub.BE/V.sub.AR)}, and
T=(q/k)ΔV.sub.BE/{Ln(N)+(ΔV.sub.BE/V.sub.AR)/(1+V.sub.BE/V.sub.AR)} (Equation 19a)
Substituting Equation 18b into Equation 1 gives
V.sub.th=kT/q=ΔV.sub.BE/{Ln(N)+(ΔV.sub.BE/V.sub.B)}, and
T=(q/k)ΔV.sub.BE/{Ln(N)+(ΔV.sub.BE/V.sub.B)} (Equation 19b)
(52) Using Equations 19, 19a, or 19b, the reference temperature (T) can be computed inclusive of the temperature dependent η contribution provided ΔV.sub.BE and V.sub.BE are measured electrically for a known V.sub.AR or V.sub.B.
(53) Another benefit of using a TSD 100, 300, or 500 to take measurements to determine ΔV.sub.BE is that the ideality factor η can be measured using Equation 1a with the temperature (T) measured from Equation 19. This may be expressed as:
η=ΔV.sub.BE/{(kT/q)*Ln(N)} (Equation 20)
(54) This allows verification of the temperature dependence of η with implications for temperature sensor testing and calibration. Additional verification of a temperature sensor may be made by taking electrical measurements of V.sub.BE of the temperature sensor.
(55) For example, based on the description of TSD 100 above, V.sub.BE=V.sub.EXT*(1−D2a)/D2a. Based on the description of TSD 300 above, V.sub.BE=V.sub.EXT/D2. Finally, based on the description of TDS 500 above, V.sub.BE=V.sub.EXT*D2.
(56) As mentioned, the TDS 100, 300, and 500 may be implemented similarly with sub-threshold MOS devices using V.sub.GS instead of V.sub.BE and ΔV.sub.GS instead of ΔV.sub.BE. As discussed above, the techniques, components, and devices described herein with respect to the example TSD 100, 300, and 500 are not limited to the illustrations in
(57) Representative Process
(58)
(59) The order in which the process is described is not intended to be construed as a limitation, and any number of the described process blocks can be combined in any order to implement the process, or alternate processes. Additionally, individual blocks may be deleted from the process without departing from the spirit and scope of the subject matter described herein. Furthermore, the process can be implemented in any suitable materials, or combinations thereof, without departing from the scope of the subject matter described herein.
(60) At block 702, the process includes providing a first analog input and a second analog input from at least one or two bipolar devices of a digital temperature sensor (i.e., temperature sensor digitizer “TSD”). At block 704, the process includes receiving the first analog input and the second analog input at an analog-to-digital converter (ADC) (such as ADC 104, for example) of the TSD.
(61) At block 706, the process includes taking a first measurement with the TSD to get a first digital output (i.e., D1, for example). At block 708, the process includes substituting an external reference voltage for the second analog input. At block 710, the process includes taking a second measurement with the digital temperature sensor to get a second digital output (i.e., D2, for example).
(62) At block 712, the process includes determining a reference temperature based on the first digital output, the second digital output and a difference in base-emitter voltages of the at least one or two bipolar devices (i.e., ΔV.sub.BE). In an implementation, the process includes comparing a temperature measured by a temperature sensor under test to the reference temperature to calibrate the temperature sensor under test.
(63) In an implementation, the process includes determining the difference in the base-emitter voltages (i.e., ΔV.sub.BE) of the at least one or two bipolar devices based on the first and second measurements. For example, equations 5, 8, 12, or 16 may be used, based on the TSD application. In the implementation, the process includes determining the reference temperature from the difference in the base-emitter voltages of the at least one or two bipolar devices. For example, equations 1 and 1a may be used, once the value of ΔV.sub.BE is known. In various implementations, a processing or computing component, such as a controller, processor, digital logic, or the like, (the control logic 506, for example) may be used to determine the values of ΔV.sub.BE and/or the reference temperature, using the first and second digital outputs and the equations described herein, for instance.
(64) In an implementation, the process includes determining the reference temperature based on the difference in base-emitter voltages of the at least one or two bipolar devices divided by a reference voltage comprising the base-emitter voltage of one of the at least one or two bipolar devices (i.e., ΔV.sub.BE/V.sub.BE). In the implementation, the process also includes determining the reference temperature based on the external reference voltage divided by the reference voltage comprising the base-emitter voltage of one of the at least one or two bipolar devices (i.e., V.sub.EXT/V.sub.BE).
(65) In an implementation, the process includes determining the reference temperature based on a reference voltage comprising the base-emitter voltage of one of the at least one or two bipolar devices divided by the difference in base-emitter voltages of the at least one or two bipolar devices (i.e., V.sub.BE/ΔV.sub.BE). In the implementation, the process also includes determining the reference temperature based on the reference voltage comprising the base-emitter voltage of one of the at least one or two bipolar devices divided by the external reference voltage (i.e., V.sub.BE/V.sub.EXT).
(66) In an implementation, the process includes multiplexing the second analog input (i.e., ΔV.sub.BE) and the external reference voltage (i.e., V.sub.EXT) to the ADC, based on whether the first (D1) or second (D2) measurement is being taken, respectively.
(67) In alternate implementations, other techniques may be included in the process in various combinations, and remain within the scope of the disclosure.
(68) Conclusion
(69) Although the implementations of the disclosure have been described in language specific to structural features and/or methodological acts, it is to be understood that the implementations are not necessarily limited to the specific features or acts described. Rather,the specific features and acts are disclosed as representative forms of implementing example devices and techniques.