Ranging systems and methods for decreasing transitive effects in multi-range materials measurements
11982730 ยท 2024-05-14
Assignee
Inventors
Cpc classification
G06F1/022
PHYSICS
G01R35/005
PHYSICS
H03M1/188
ELECTRICITY
International classification
G01R35/00
PHYSICS
Abstract
A measurement system includes a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC output has a path, and a gain of each output path is made up of a plurality of gain stages in the gain chain; and a mixer configured to combine the plurality of ADC outputs into a single mixed output.
Claims
1. A measurement system comprising: a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of a plurality of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and a mixer configured to combine the plurality of ADC outputs into a single mixed output; wherein at least one of: the plurality of ADCs comprises three or more ADCs; a first portion of the gain chain is connected to a first one of the plurality of ADCs and a second portion of the gain chain is connected to a second one of the plurality of ADCs; and the plurality of ADCs comprises at least two different types of ADCs.
2. The system of claim 1, wherein at least one of: the combining of the plurality of ADC outputs is performed according to a weighted sum of the plurality of ADC outputs; and the range selector selects a gain for the first one of the plurality of ADCs from the first portion of the gain chain and selects a gain for the second one of the plurality of ADCs from the second portion of the gain chain.
3. A measurement system comprising: a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of a plurality of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and a mixer configured to combine the plurality of ADC outputs into a single mixed output; wherein each of the gain stages in the gain chain is connected to each of the plurality of ADCs via one or more switch banks.
4. The system of claim 3, wherein the range selector selects a first portion of the shared gain stages for a first one of the plurality of ADCs and a second portion of the shared gain stages for a second one of the plurality of ADCs by setting switches in the one or more switch banks.
5. The system of claim 3, wherein the range selector comprises a first and second multiplexer and, wherein the first multiplexer selects the first portion of the shared gain stages; and the second multiplexer selects the second portion of the shared gain stages.
6. The system of claim 5, wherein selection of the first portion of the shared gain stages comprises configuring a gain for the first one of the plurality of ADCs and selection of the second portion of the shared gain stages comprises configuring a gain for the second one of the plurality of ADCs.
7. The system of claim 6, wherein the configuring a gain for the first and second one of the plurality of ADCs comprises configuring the gains according to at least one range of the input signal.
8. A measurement system comprising: a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of a plurality of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and a mixer configured to combine the plurality of ADC outputs into a single mixed output; wherein the mixer is configured to: when the input signal is in a first range, select an output from a first ADC as a single mixed output; when the input signal is in a second range, select an output from a second ADC as the single mixed output; and when the input signal is in between the first and second ranges, select a mix of the outputs from the first and second ADCs as the single mixed output.
9. The system of claim 8, wherein the system: maintains the second ADC online during a first transition period when the input signal is in the first range; and maintains the first ADC online during a second period when the input signal is in the second range.
10. The system of claim 9, wherein the range selector is configured to configure a gain for at least one of the first ADC and second ADC based on an anticipated range of the input signal.
11. The system of claim 9, wherein, during a hysteresis period, the system: maintains the first ADC offline; maintains the second ADC online; and maintains a gain of the second ADC constant.
12. The system of claim 11, wherein the hysteresis period is between the first transition period and the second transition period.
13. A measurement system comprising: a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of a plurality of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and a mixer configured to combine the plurality of ADC outputs into a single mixed output; wherein the plurality of ADC output paths comprises: two ADC output paths that can independently be configured into a high range path and a low range path, said low range path having a first gain for converting the analog input signal, and said high range path having a second gain for converting the analog input signal, the second gain being lower than the first gain; a mixing device configured to combine an output of the low range path with an output of the high range path; and a device configured to vary an amount of gain combined from the low range path and the high range path.
14. The system of claim 13, wherein the high range path is connected to a first gain chain and the low range path is connected to a second gain chain.
15. The system of claim 13, further comprising a selector to select gain stages of the first gain chain for the first gain and to select gain stages of the second gain chain for the second gain.
16. The system of claim 13, wherein each of the first and second gains comprises gain stages in a gain chain common to the low range path and the high range path.
17. A measurement system comprising: a gain chain configured to amplify an analog input signal; a range selector configured to select a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of a plurality of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and a mixer configured to combine the plurality of ADC outputs into a single mixed output; wherein: the gain of each output path is substantially the same; and the mixer averages the outputs from each path to reduce noise in the single output.
18. A method comprising: amplifying an analog input signal using a gain chain; selecting a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and combining the plurality of ADC outputs into a single mixed output, wherein: a first portion of the gain chain is connected to a first one of a plurality of ADCs and a second portion of the gain chain is connected to a second one of the plurality of ADCs; and the plurality of ADCs comprises at least two different types of ADCs.
19. A method comprising: amplifying an analog input signal using a gain chain; selecting a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein: each ADC has an input path, and a gain of each ADC input path is made up of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and each of the gain stages in the gain chain is connected to each of the plurality of ADCs via one or more switch banks.
20. A method comprising: amplifying an analog input signal using a gain chain; selecting a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and combining the plurality of ADC outputs into a single mixed output via a mixer, wherein the mixer is configured to: when the input signal is in a first range, select an output from a first ADC as a single mixed output; when the input signal is in a second range, select an output from a second ADC as the single mixed output; and when the input signal is in between the first and second ranges, select a mix of the outputs from the first and second ADCs as the single mixed output.
21. A method comprising: amplifying an analog input signal using a gain chain; selecting a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and wherein the plurality of ADC outputs comprises: two ADC output paths that can independently be configured into a high range path and a low range path, said low range path having a first gain for converting the analog input signal, and said high range path having a second gain for converting the analog input signal, the second gain being lower than the first gain; a mixing device configured to combine an output of the low range path with an output of the high range path; and a device configured to vary an amount of gain combined from the low range path and the high range path.
22. A method comprising: amplifying an analog input signal using a gain chain; selecting a gain between the analog input signal and a plurality of analog-to-digital converter (ADC) outputs from a plurality of ADCs, wherein each ADC has an input path, and a gain of each ADC input path is made up of gain stages in the gain chain and wherein the gains of each ADC input path are applied to the analog input signal; and wherein: the gain of each output path is substantially the same; and the mixer averages the outputs from each path to reduce noise in the single output.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DETAILED DESCRIPTION
(26) The present disclosure introduces systems and methods that can accommodate measurements over a wide dynamic range with relatively little error, noise, or glitching. Here glitching refers to unintended irregularities or inconsistencies that can negatively impact a measurement or operation. Variations disclosed herein accomplish this in a number of different ways. One way is to separately and dynamically configure gain chains for separate ranges. Another is to stich separate ranges together by mixing gain profiles for the ranges. Still another is to introduce shared gain stages that can be assigned to the separate ranges dynamically. These and more ways are generally referred to herein as seamless ranging. They are discussed in more detail below.
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(29) Continuous ranging addresses the two ranges r1 and r2 using separate signal amplification/gain chains that may be applied independently and/or concurrently. By way of example, specific implementations will be discussed below in the context of
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(32) As shown in
(33) As in the case of chain 400, the combination in chain 500, mixing 510 can be weighted by a factor ?. Factor ? can be chosen dynamically in order to ensure a smooth transition over ranging transition ?t (e.g., using range mixing to avoid discontinuity D in
(34) In variations including chains 400 and 500, as well as others, seamless ranging may include auto-ranging.
(35) The algorithm 600 changes range as the measured signal 650 shown in
(36) As shown in
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(38) Though
(39) Although
(40) Mixers 410 and 510 in chains 400 and 500, respectively, can operate according to any suitable mixing algorithm to achieve the smoothing effect shown in
output signal V (for Mixer 402 or 502)=?E.sub.A+(1??)E.sub.B(1)
(41) where E.sub.A is the output of the first ADC (ADC A 408a or ADC A 508a), E.sub.B is the output of the second ADC (ADC A 408b or ADC A 508b), and ? is a mixing parameter that can vary, for example, from one to zero.
(42) It is to be appreciated that equation 1 is not the only mixing algorithm that can be applied by mixers 410 and 510. For example, mixers may simply average the outputs of each path to reduce noise. Equation 1 applies a linear weighting (?) to the contributions of E.sub.A and E.sub.B. However, non-linear weightings are contemplated and should be considered within the scope of the present disclosure. In fact, the weighting may include any suitable mathematical form. Examples include, but are not limited to quadratic, cubic, and any suitable polynomial. Exponential and logarithmic functions, as well as differential equations, are all contemplated within the scope of this disclosure.
(43) The exact form of the weighting or mixing function should depend on factors such as the gains of the various amplifiers in the system (e.g., amplifiers in 402, 404, and 512 and amplifier 506), as well as the other components, such as the ADCs (e.g., ADCs 408a, 408b, 508a, and 508b). It may also depend on the particulars of the mixers 401 and 510 used in the circuits. It may depend on the following exemplary characteristics of these components, e.g., frequency response, gain value, non-linearity, sensitivity to variations in input. In addition, parameter ?, need not vary from one to zero, as in the example above. Parameter ?, as well as any other value employed by mixers 410 and 510, can depend on the specifics of the gain stages in chains 402, 404, and 512 as well as gain 506. It may include any suitable value for balancing the gain and eliminating or diminishing discontinuity D (
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(45) Chain 700 includes two signal paths 700a and 700b inclusive of an ADC (ADC A 708a and ADC B 708b, respectively) and a multiplexer (mux, 706a and 706b, respectively). Multiplexers 706a and 706b select from gain stages 704a-704c from gain chain 700c. Therefore, signal paths 700a and 700b have independently configurable gains based on those selections.
(46) Each independently configurable gain delivered to paths 700a and 700b can be any combination of the output of amplifiers 704a, 704b, and 704c having gains A1, A2, and A3, respectively. Each of gains A1, A2, and A3 may be 1, any suitable positive value greater than 1, and any suitable negative value with an absolute value greater than 1. Although the gains can be selected for any reason and based on any criterion, they are typically selected by muxes 706a and 706b based on the range of input signal 702 in order to best accommodate that signal. It is understood that many different combinations are possible and within the scope of the instant disclosure.
(47) For example, the input signal 702 may be in a range that is best amplified by the combined gain from gain stages 704a and 704b (i.e., a gain equal to the product of A1 and A2) and ADC A 708a. This range may, for example, correspond to lower range r1 in
(48) If the input signal 702 increases such that it risks saturating ADC A 708a by closing in on transition t.sub.TR, ADC B 708b (the cold range) may be engaged. The path associated with ADC B 708b can set to a higher range (lower gain). For example, ADC B 708b is fed the output of gain stage A1 (704a), which will result in ADC B 708b being in a higher range (lower gain) than ADC A 708a in path 700a.
(49) While input signal 702 is at a desired level for ADC A 708a, mixer 710 is set so that only output 712 receives only ADC A 708a's contribution. This corresponds to lower range r1 in
(50) In this scenario, idiosyncrasies and/or errors associated with gain stage 704a (gain of A1) are common between to the measured signal 750a (
(51) Once the input signal 702b passes to ADC B 708b, ADC A 708a is now cold. Even while cold, the gain of ADC A is 708a remains configured to anticipate where the signal will go next. ADC A 708a could, for example, stay in r2 configured range to anticipate a return to that range. Alternatively, ADC A 708a may change its range by resetting mux 706b for another gain. ADC A 708a may do this in anticipation of the signal continuing to increase or decrease, depending on the initial conditions of each signal path.
(52) As discussed in the context of
(53) In a system with many gain stages like 700, the input signal 702 can be passed back and forth between the ADCs 708a and 708b as the input signal increases or decreases. Each time the cold ADC would anticipate the range needed for the changing signal, as described above. During this process, gain can be changed for the cold ADC while the output is being taken from the active ADC. This results in a constant output in the desired range, and results in reduced discrepancies due to gain variations in each range, as shown in
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(56) Pre-amps 804a and 804b can provide several benefits to variation 800. For example, pre-amp 804a can buffer input signal 702 from other components in variation 800. This can be advantageous because connecting the input 702 directly to multiple buffers or switching elements degrades performance. These elements often impart bias currents and switching capacitance to the input 702. Pre-amp 804b can be placed in the path (either 700a or 700b) associated with a range that typically requires an extra gain. This can be, for example, the lowest range (e.g., range r1 in
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(58) In some applications, particularly in material research, the discontinuity 752 itself may be bigger problem than other sources of quantitative error. This is especially true with the overall character of the measured signal 750a, rather than its precisely measured value, is most important for describing materials properties. In many instances the measured value may be assessed in relative or normalized terms, to emphasize the behavior over the precise amplitude. In these cases, mixer 710 can interpolate its two inputs from ADCs 708a and 708b in order to maintain a smooth transition between ranges r1 and r2. Such an interpolation can be performed via equation 1. It can also be performed using another suitable mathematical or signal processing means for interpolating the signals from ADCs 708a and 708b. As shown in
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(60) It is to be understood that the switch banks 1006a and 1006b can be implemented in a number of suitable ways. Solid state switching can be used. Alternatively, mechanical relay switching can be used. Any other suitable switching or connection method can be used. The individual switches (e.g., 1014a) may be present and operated individually. Alternatively, they may be operated as part of an integrated circuit or other integrated device. They may be triggered by any suitable means, including by user input, any of the algorithms described herein (e.g., algorithms 600, 620, and 910, etc.) Moreover, the switch banks 1006a and 1006b may be operated dynamically such that the switching and the gains fed to data converters 1008a and 1008b can be changed dynamically (e.g., at any point in ranges r1 and r2 in
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(62) As shown in
(63) Although
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(65) Although
(66) Typically, most or all the gain stages in chain 1000c are active. In some cases, it may be useful to deactivate certain gain stages 1004a-1004n while not in use (e.g., to generate active or anticipated ranges). For example, some types of gain stages 1004a-1004n may not handle saturation well without producing errors. In that case, such gain stages would advantageously deactivate once a risk of saturation was detected. Doing so may allow for faster transitions (i.e., by activating a range only when that range is able to properly amplify the signal). Unused ranges 1004a-1004n could also be deactivated to reduce power draw, heat generation, etc.
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(69) The higher range path of Gain Path B includes less gain and may be more appropriate for a higher range (e.g., r2 in
(70) Variation 1000 may switch between any of these gain paths, as needed. It may do so, for example, according to any of algorithms 600, 620, and 910. For example, since Gain Path A is lowest gain, variation 1000 may use Gain Path A initially. It may simultaneously have Gain Path B online to warm it up and remove transients. In this scenario, Gain Path B would be in its lower range configuration in anticipation that the measured signal would use this first since it is increasing from a lower range (i.e., the lower range associated with Gain Path A). As the measured signal continues to increase, mixer 1010 may mix Gain Paths A and B, with Gain Path B being in the lower range configuration. As the measured signal continues to increase, the mixer 1010 may send only Gain Path B to data output 1012. As the signal continues to increase beyond this point, the higher range configuration of Gain Path B may be triggered by flipping 1014h off and 1014f on. This would give the input signal 1002 the least amount of gain (i.e., only the gain from gain stage 1004a) corresponding with being in the highest range.
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(72) In variation 1000, each data converter 1108a-1108n is connected to its own gain stage selector 1116a-1116n. However, other configurations where data converters 1108 share gain stage selectors 1116 are also possible.
(73) Variation 1100 includes a number of data converters n that can be large. In general, the number of converters n can be chosen so that there is one converter for each range. In other situations, it may be advantageous to include either more converters than ranges or fewer. Multiple ranges/gain stages are also useful, for example, in measuring pulse input signal applications. If the input signal transitions multiple ranges, then it may be useful to measure that pulse across several ranges with different gains. It is to be understood that any suitable number of gain stages, greater or less than n, may be used.
(74) It can be useful to have a range which always measures at a point in the common gain chain, while other ranges pass the signal back and forth between desired gains. One variation can use a low-cost ADC to initialize the input signal with a low gain and use this information to quickly configure the gain in high quality ADCs. This may be valuable for inputs that change between different sources. Input signals with large amplitude spikes can also cause problems for measurement systems. Therefore, by having a multitude of ADCs measuring simultaneously, one can achieve accurate measurements when the input is in its normal range, but still be able to measure a signal spike. In other variations, input can benefit from using different types of ADCs simultaneously to measure the signal. High speed ADCs along with high resolution ADCs would allow for different types of signals to be measured and converted without sacrificing performance. All of these variations can use the anticipation algorithm, along with other ADCs measuring the input signal for other purposes. Many communication signals exhibit this type of signal characteristic.
(75) As shown in
(76) As shown in
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(78) When the measured signal is in the highest range (e.g., range r3 in
(79) It is to be understood that, although
(80) The auto-ranging algorithms can be different for any application and do not need to be symmetrical or linear, as shown in
(81) When the measured signal is in the highest measured data range 10, algorithm 1250 applies lowest gain (A.sub.10) appropriate for that range. This is stage 1252 in
(82) It is to be understood that, although
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(84) Algorithm 1300 begins by initializing the input signals. At step 1302, the input signal is measured. A first range A is made active for comparison with the input signal at step 1302. That comparison is made at step 1304.
(85) If range A is not desired, algorithm 1300 determines whether range is too low or high in step 1306. If the range is too high, the range is decreased at step 1308a. If range A is too low for the measured input signal, the gain for range A is increased at step 1308b. Whether range A is increased or decreased, the next step 1310 waits for any transient effects caused by the gain change to dissipate. Subsequent to transient dissipation, algorithm 1300 performs step 1302 again to measure the signal and compare with modified gain for range A.
(86) When step 1304 determines that the gain associated with range A is desired for the measured signal, algorithm 1300 proceeds to step 1312. At step 1312, the algorithm anticipates a change from range A to a new range B. It warms up the electronics associated with new range B. At step 1314, algorithm 1300 initiates inputs based on its assessment of new range B and the measured input. At step 1316, algorithm 1300 measures the input in both ranges A and B. At step 1318, algorithm 1300 selects the best range for the measured input among ranges A and B for being active (i.e., for use in the measuring the input).
(87) Algorithm 1300 then begins the process of deciding a switching threshold based on the measured input and current ranges A and B. In step 1320, algorithm 1300 determines if the active range is less than a down range switching threshold. If the active range is less than the down range threshold, algorithm 1300 performs step 1322 to determine if the cold or unused range among ranges A and B is in the lower range. If the cold range A or B is in the lower range, algorithm 1300 proceeds to step 1324 to initiate mixing. If the cold range A is not the lower range, the algorithm 1300 sets the cold range to the lower range in step 1326, then proceeds to step 1324 to initiate mixing.
(88) If the algorithm 1300 determines that the active range is not less than a down switch threshold in step 1320, it proceeds to step 1328. At step 1328, the algorithm 1300 determines whether or not the active range is greater than an up switch threshold. If so, the algorithm 1300 proceeds to step 1330 to determine if the cold or unused range among ranges A and B is the higher range. If the cold range A or B is in the higher range, algorithm 1300 proceeds to step 1324 to initiate mixing. If the cold range A is not the higher range, the algorithm 1300 sets the cold range to the higher range in step 1332, then proceeds to step 1324 to initiate mixing.
(89) If the algorithm 1300 finds that the active range is not less than a down switch threshold (step 1320) and finds it is also not greater than the up switch threshold (step 1328), the algorithm proceeds to step 1334. At step 1334, the algorithm 1300 applies a hysteresis to prevent range changing. This is because the measured signal is not within the range changing up or down thresholds. Therefore, any decision to change ranges would be based on erroneous noise or glitches in the data. Once hysteresis is applied, the algorithm proceeds to step 1324 to initiate mixing.
(90) At step 1324, the algorithm 1300 begins steps to initiate mixing. The first step is to make sure the cold range is settled. If the cold range is settled, the system is ready for mixing. Then algorithm 1300 proceeds to step 1326 to determine whether or not to mix in ranges. If the decision is made to mix, algorithm 1300 mixes the ranges at step 1328 and then provides the mixed signal as output at step 1330. If the decision is not to mix, the algorithm sets the output to the active range at step 1332. If the cold range is not settled, the algorithm 1300 proceeds from step 1324 to step 1332 to set the output to the active range. After the output is set to the active range at 1332, then the signal is output at step 1330.
(91) Ranging does not need to be accomplished exclusively by algorithm. It can also be accomplished via hardware.
(92) TABLE-US-00001 TABLE 1 Parameters of mechanical ranging algorithm 1400. % of Main Channel Next Range Interpolator State >120% Range up if it exists All aux 100%-120% No change All aux 70%-100% No change Active, scaled based on % of main 10%-70% No change All main <10% Range down if All main it exists
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(95) As shown in
(96) The signal can be processed in any number of ways including DC, AC, or Lock In processing. Range decisions can be made on the basis of the peak values of the Measured sample signal regardless of what other processing is being performed for the sake of the measurement. This is because the peak values are what would cause amplifier overload. As shown in
(97) Measurement pod 1560 may further include digital (non-analog) circuitry capable of performing various functions, including analysis, communication of data, command information, power regulation, timing, and communication with external devices. In variations, measurement pod 1560 has the capability to de-activate this non-analog circuitry while performing a measurement or providing a source signal. Doing so decreases the amount of interference and noise in the signal or measurement. For the same reason, digital signals in the measurement pod 1560 may be isolated from the source pod 1560 and the head 1550.
(98) Other variations of system 1500 include any suitable number of heads 1550, source pods and measure pods 1560. For example,
(99) While various inventive aspects, concepts and features of the inventions may be described and illustrated herein as embodied in combination in the exemplary embodiments, these various aspects, concepts and features may be used in many alternative embodiments, either individually or in various combinations and sub-combinations thereof. Unless expressly excluded herein all such combinations and sub-combinations are intended to be within the scope of the present inventions. Still further, while various alternative embodiments as to the various aspects, concepts and features of the inventionssuch as alternative materials, structures, configurations, methods, circuits, devices and components, software, hardware, control logic, alternatives as to form, fit and function, and so onmay be described herein, such descriptions are not intended to be a complete or exhaustive list of available alternative embodiments, whether presently known or later developed. Those skilled in the art may readily adopt one or more of the inventive aspects, concepts or features into additional embodiments and uses within the scope of the present inventions even if such embodiments are not expressly disclosed herein.
(100) Additionally, even though some features, concepts or aspects of the inventions may be described herein as being a preferred arrangement or method, such description is not intended to suggest that such feature is required or necessary unless expressly so stated. Still further, exemplary or representative values and ranges may be included to assist in understanding the present disclosure, however, such values and ranges are not to be construed in a limiting sense and are intended to be critical values or ranges only if so expressly stated. Still further, exemplary or representative values and ranges may be included to assist in understanding the present disclosure, however, such values and ranges are not to be construed in a limiting sense and are intended to be critical values or ranges only if so expressly stated. Parameters identified as approximate or about a specified value are intended to include both the specified value and values within 10% of the specified value, unless expressly stated otherwise. Further, it is to be understood that the drawings accompanying the present application may, but need not, be to scale, and therefore may be understood as teaching various ratios and proportions evident in the drawings. Moreover, while various aspects, features and concepts may be expressly identified herein as being inventive or forming part of an invention, such identification is not intended to be exclusive, but rather there may be inventive aspects, concepts and features that are fully described herein without being expressly identified as such or as part of a specific invention, the inventions instead being set forth in the appended claims. Descriptions of exemplary methods or processes are not limited to inclusion of all steps as being required in all cases, nor is the order that the steps are presented to be construed as required or necessary unless expressly so stated.