Shared comparator for charge pumps
10797594 ยท 2020-10-06
Assignee
Inventors
Cpc classification
G01R31/2856
PHYSICS
G01R17/00
PHYSICS
International classification
H02M3/07
ELECTRICITY
G01R19/00
PHYSICS
Abstract
Power converter circuits, including DC-DC converter circuits, that conserve IC area by utilizing more area-efficient alternatives for measurement circuitry. Various embodiments include a power converter circuit including a charge pump having a plurality of stack-nodes V.sub.CXM and at least one multiplexor for coupling selected stack-nodes V.sub.CXM to a corresponding comparator circuit configured to output a signal indicative of a difference between a selected input to the multiplexor and a reference signal. The number of comparator circuits is less than (N1)M, where N is the conversion gain of the power converter circuit (i.e., the number of charge pump stages X plus one), and M is the number of parallel charge pump legs. Related methods include measuring voltages at stack-nodes V.sub.CXM in a charge pump, wherein the stack-nodes V.sub.CXM are selected by means of a multiplexor and an input to a comparator.
Claims
1. A power converter circuit including: (a) at least one set of N series switches where N2, each set configured as one of M charge pump legs where M1, wherein each pair of adjacent series switches in each charge pump leg defines a stack-node V.sub.CXM located between the adjacent series switches, where N1X>1; (b) at least one voltage scaling circuit, each coupled to a corresponding stack-node V.sub.CXM and configured to output a voltage proportional to a voltage at the corresponding stack-node V.sub.CXM; (c) at least one multiplexor, each having (1) at least one input, each input coupled to the output of a corresponding one of the at least one voltage scaling circuit, and (2) at least one output; and (d) at least one comparator circuit, each having a first input coupled to a corresponding output of one of the at least one multiplexor, and a second input coupled to a reference signal, and configured to output a signal indicative of a difference between a selected input to the multiplexor and the reference signal; wherein the number of comparator circuits is less than (N1)M.
2. The invention of claim 1, wherein at least one voltage scaling circuit includes a voltage divider comprising first and second series-connected resistors coupled between the corresponding stack-node V.sub.CXM and circuit ground.
3. The invention of claim 2, wherein the voltage divider includes at least one series switch configured to make the voltage divider selectably isolatable.
4. The invention of claim 1, wherein the reference signal is generated by a voltage divider comprising first and second series-connected resistors coupled between a supply voltage and circuit ground.
5. The invention of claim 4, wherein the reference signal is adjustable in value.
6. The invention of claim 4, wherein the supply voltage is derived from an isolated voltage scaling circuit for a selected stack-node V.sub.CXM.
7. The invention of claim 1, wherein at least one of the at least one comparator circuit includes latch circuitry coupled to the output of the comparator circuit for capturing a status for multiple stack-nodes V.sub.CXM.
8. The invention of claim 1, wherein all stack-nodes V.sub.CXM are coupled to one multiplexor, and the one multiplexor is coupled to one comparator circuit.
9. The invention of claim 1, wherein one or more stack-nodes V.sub.CXM designated by the same X value but different M values are coupled to one respective multiplexor, and the one respective multiplexor is coupled to one corresponding comparator circuit.
10. The invention of claim 1, wherein one or more stack-nodes V.sub.CXM designated by the same M value but different X values are coupled to one respective multiplexor, and the one respective multiplexor is coupled to one corresponding comparator circuit.
11. The invention of claim 1, wherein: (a) a first subset of stack-nodes V.sub.CXM are controlled by a first clock waveform and a second subset of stack-nodes V.sub.CXM are controlled by a second clock waveform; (b) one or more stack-nodes V.sub.CXM in the first subset of stack-nodes V.sub.CXM are coupled to one respective first multiplexor, and the one respective first multiplexor is coupled to one corresponding first comparator circuit; and (c) one or more stack-nodes V.sub.CXM in the second subset of stack-nodes V.sub.CXM are coupled to one respective second multiplexor, and the one respective second multiplexor is coupled to one corresponding second comparator circuit.
12. The invention of claim 1, wherein all stack-nodes V.sub.CXM are coupled to a multiplexor comprising a matrix switch having a plurality of outputs, and one or more of the plurality of outputs is coupled to a respective one of n comparator circuits, where M(N1)>n1.
13. A method for measuring voltages in a power converter circuit comprising at least one set of N series switches where N2, each set configured as one of M charge pump legs where M1, wherein each pair of adjacent series switches in each charge pump leg defines a stack-node V.sub.CXM located between the adjacent series switches, where N1X>1, the method including: (a) performing a sequence of steps, including: (1) selecting done stack-node V.sub.CXM by means of a multiplexor as an input to a comparator; (2) applying a reference signal V.sub.REF as an input to the comparator; (4) comparing the applied reference signal V.sub.REF to a proportional voltage representative of a voltage at the selected one stack-node V.sub.CXM; (5) outputting a signal indicative of the comparison; and (b) repeating the sequence of steps for at least one other stack-node V.sub.CXM.
14. A method for testing pump capacitors in a charge pump by measuring voltages in a power converter circuit comprising at least one set of N series switches where N2, each set configured as one of M charge pump legs where M1, wherein each pair of adjacent series switches in each charge pump leg defines an associated stack-node V.sub.CXM located between the adjacent series switches, where N1X>1, the method including: (a) selecting a stack-node V.sub.CXM by means of a multiplexor as an input to a comparator; (b) applying a reference signal V.sub.REF as an input to the comparator; (c) comparing at a selected time the applied reference signal V.sub.REF to a proportional voltage representative of a voltage at the selected stack-node V.sub.CXM; (d) outputting a signal indicative of the comparison; and (e) determining if the signal indicative of the comparison indicates that the selected stack-node V.sub.CXM meets an out-of-bound condition, and if so, asserting an error signal.
15. The method of claim 13, further including adjusting the applied reference signal V.sub.REF for the selected stack-node V.sub.CXM before comparing the applied reference signal V.sub.REF to a voltage representative of a voltage at the selected stack-node V.sub.CXM.
16. The method of claim 14, further including adjusting the applied reference signal V.sub.REF for the selected stack-node V.sub.CXM before comparing at a selected time the applied reference signal V.sub.REF to a voltage representative of a voltage at the selected stack-node V.sub.CXM.
Description
DESCRIPTION OF THE DRAWINGS
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(13) Like reference numbers and designations in the various drawings indicate like elements.
DETAILED DESCRIPTION
(14) The present invention encompasses power converter circuits, including DC-DC converter circuits, that conserve IC area by utilizing more area-efficient alternatives for measurement circuitry.
(15) For ease of understanding, the following embodiments include a step-down DC-DC charge pump as an example of an instance of a charge pump. However, as one of ordinary skill in the art would understand, the disclosed inventions encompass similar embodiments using step-up charge pumps, as well as AC-DC power converters.
First Embodiment
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(17) In greater detail, Leg1 of the illustrated embodiment includes series-connected switches S11 to SN1, where N is the conversion gain of the circuit (i.e., the number of charge pump stages plus one) and N2. Similarly, Leg2 of the illustrated embodiment includes series-connected switches S12 to SN2. Stack-nodes V.sub.CXM are located between adjacent switches of each leg. In the illustrated example, Leg1 includes stack-nodes V.sub.C11 to V.sub.C(N1)1, and Leg2 includes stack-nodes V.sub.C12 to V.sub.C(N1)2. As a shorter notation, the stack-nodes of a charge pump leg M may be designated as V.sub.CXM, where N1X>1 (thus, the maximum value of X equals the number of charge pump stages).
(18) In the illustrated embodiment, the stack-nodes V.sub.CXM each have a corresponding voltage scaling circuit 402, which is illustrated in this example as a voltage divider including series-connected resistors R1, R2 coupled between the corresponding stack-node V.sub.CXM and circuit ground (not all voltage scaling circuits or resistors are labeled to avoid clutter). The output voltage at the midpoint of the series-connected resistors R1, R2 is a scaled value that is a function of the voltage from the corresponding stack-node V.sub.CXM and the ratio R2 to (R1+R2). The voltage scaling circuits 402 are used to scale down a higher voltage at a stack-node V.sub.CXM to a lower proportional voltage suitable to be coupled to a comparator circuit or the like. As should be clear to one of ordinary skill in the art, the series-connected resistors R1, R2 of the voltage scaling circuits 402 generally would not be identical in value, but instead typically would be sized to generate a desired scaled output for each stack-node V.sub.CXM. In addition, it should be clear that other circuit configurations may be used for the voltage scaling circuits 402 to accomplish the same result. Further, in some embodiments, the voltage scaling circuits 402 may not be needed, and thus may be omitted.
(19) As illustrated, the output of each voltage scaling circuit 402 is coupled to a multiplexor (MUX) and comparator circuit 404.
(20) A second input of the comparator 412 is a reference signal V.sub.REF from a reference signal source 414. The reference signal source 414 may be, for example, a voltage divider including series-connected resistors R1.sub.REF, R2.sub.REF coupled between a supply voltage V.sub.DD and circuit ground, with V.sub.REF being generated at a node between the resistors R1.sub.REF, R2.sub.REF. In some embodiments, the supply voltage to the reference signal source 414 may instead be derived from another stack-node. As should be clear, other known circuits may be used to implement a reference signal source 414 configured to generate V.sub.REF, such as a bandgap circuit, a reference current into a resistor, etc. The output Vmon of the comparator 412 is a voltage (or current) that represents the voltage difference between a selected stack-node V.sub.CXM and V.sub.REF.
(21) To support a wide voltage range that may occur at the stack-nodes, it is desirable to make the value of V.sub.REF programmable in order to, among other things, keep within the comparator's 412 input common mode range and maximize the signal-to-noise ratio at the comparator's 412 inputs. One way of making the value of V.sub.REF programmable is to provide signal-controlled variable resistors for R1.sub.REF and/or R2.sub.REF. For example, in the embodiment illustrated in
(22) An advantage of using variable resistors for one or both of R1.sub.REF and R2.sub.REF is that the reference signal V.sub.REF may be adjusted to correspond to a desired nominal value for the voltage of a stack-node V.sub.CXM. For example, assume that the desired voltage at stack-node V.sub.C11 in
(23) Other circuits may be used to provide a variable V.sub.REF input to the comparator 412, in known fashion, including making V.sub.DD an adjustable voltage across R1.sub.REF and R2.sub.REF, or replacing R1.sub.REF with an adjustable current source, or generating V.sub.REF from an adjustable reference signal source 414, so that V.sub.REF can be re-programmed after multiplexing to (selecting) a particular selected stack-node V.sub.CXM.
(24) More generally, the measurement sequence involves: (1) selecting a stack-node V.sub.CXM input to the multiplexor 410 as an input to the comparator 412; (2) re-programming (i.e., adjusting) the reference signal V.sub.REF to the comparator 412 as may be needed for the selected stack-node V.sub.CXM (this step is optional for some embodiments); (3) sampling the voltage corresponding to the selected stack-node V.sub.CXM (i.e., comparing the voltageor a voltage representative of such voltage, such as a scaled voltagefrom the selected stack-node V.sub.CXM to V.sub.REF); (4) outputting a signal indicative of the sampling/comparison; and (5) repeating the sequence for at least one other (usually next) stack-node V.sub.CXM. Accordingly, the comparator 412 is shared by multiple stack-nodes V.sub.CXM.
(25) In some cases, such as when a switch associated with a stack-node V.sub.CXM is on the voltage input (V.sub.IN) upper side of a charge pump 400 (e.g., switch S11 in
(26) As should be apparent from
Second Embodiment
(27) The first embodiment described above results in a very area-efficient measurement circuit. However, sharing one multiplexor and comparator circuit 404 among all stack-nodes V.sub.CXM may not result in stack-node voltage measurements that are timely enough to meet desired specifications for some charge pump implementations, particularly during operational charge pump switching. However, the single multiplexor and comparator circuit 404 described above may still be useful before or after operational charge pump switching, during startup or shutdown.
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(29) For example, multiplexor and comparator circuit 502_1 is shared by stack-nodes V.sub.C11 and V.sub.C12, while multiplexor and comparator circuit 502_(N1) is shared by stack-nodes V.sub.C(N1)1 and V.sub.C(N1)2. Accordingly, the number of multiplexor and comparator circuits 502_X does not increase as additional charge pump legs are added, and is a function only of the number of charge pump stages (N1) per charge pump leg. Thus, the total number of multiplexor and comparator circuits 502_X needed in a charge pump having M legs is N1.
(30) The multiplexor and comparator circuits 502_X may be implemented as variants of the multiplexor and comparator circuit 404 of
(31) The measurement circuit architecture shown in
(32) In a variant embodiment of the measurement circuit architecture of
Third Embodiment
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(34) The multiplexor and comparator circuits 602_m may be implemented as variants of the multiplexor and comparator circuit 404 of
(35) The measurement circuit architecture shown in
(36) In a variant embodiment of the measurement circuit architecture of
Fourth Embodiment
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(38) With this pattern of clock waveforms P1 and P2 in mind, in the embodiment shown in
(39) Note that in some embodiments, more switching states are possible (e.g., a switch state in which all switches are open, such as during a deadtime), but are not shown for clarity since such states may not affect the number of multiplexor and comparator circuits 702x. Nevertheless, the multiplexor and comparator circuits 702x may also be selectively engaged during these additional switching states using a similar measurement sequence as previously described for the embodiment of
(40) The multiplexor and comparator circuits 702x may be implemented as variants of the multiplexor and comparator circuit 404 of
(41) The measurement circuit architecture shown in
(42) In a variant embodiment of the measurement circuit architecture of
(43) A particularly useful aspect of the measurement circuit architecture of
Fifth Embodiment
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(45) Each output is coupled to a respective one of n comparators 804, where M(N1)>n1, for comparison internally to a respective selected reference signal V.sub.REF. The comparators 804 may be, for example, similar to the multiplexor and comparator circuit 404 of
(46) An advantage of the measurement circuit architecture of
(47) Switched Voltage Scaling Circuit
(48) Some embodiments of the inventive measurement circuit architectures described above may benefit by being able to isolate idle voltage scaling circuits 402 from their associated multiplexor and comparator circuit 404, 502_X, 602_m, 702x. Other embodiments may benefit by being able to isolate voltage scaling circuits 402 from each stack-node V.sub.CXM. For example,
(49) If only switch Sw1 is included, then when open, the node A that connects the isolatable voltage scaling circuit 900 to an associated multiplexor and comparator circuit is discharged to circuit ground, thus isolating the associated multiplexor and comparator circuit from any voltage on the associated stack-node V.sub.CXM.
(50) If only switch Sw2 is included, then when open, the node A that connects the isolatable voltage scaling circuit 900 to an associated multiplexor and comparator circuit charges to the voltage on the associated stack-node V.sub.CXM. This may be beneficial, for example, if the associated multiplexor and comparator circuit has different ground potential than the isolatable voltage scaling circuit 900.
(51) If both switch Sw1 and switch Sw2 are included (again, in either series order with respect to their associated resistors R1, R2), then either of the above modes of operation may be selected. When either switch Sw1 or Sw2 are open, the current path from a stack-node V.sub.CXM to ground through resistors R1, R2 is disconnected, thereby preventing leakage that might discharge the voltage at that stack-node V.sub.CXM.
(52) In a variant embodiment of the isolatable voltage scaling circuit 900, switch Sw1 may comprise an array of multiple switches, each connecting the voltage divider formed by resistors R1, R2 to a different stack-node V.sub.CXM. This approach may yield further die area savings by significantly reducing the number of voltage scaling circuits 402. For example, in the embodiment of
(53) In some embodiments, the isolatable voltage scaling circuit 900 for a selected stack-node V.sub.CXM may be used as the supply voltage to a V.sub.REF reference signal source, such as the example reference signal source 414 shown in of
(54) Select-Sample-and-Hold Embodiments
(55) In some embodiments, it may be useful to capture the state of Vmon in one or more latch circuits so that the status of multiple stack-nodes V.sub.CXM is available for use in further control processing (e.g., by the controller 104). For example, referring to
(56) It may be noted that the measurement circuit architectures above allow a particular stack-node V.sub.CXM to be compared against more than one value for V.sub.REF. Thus, for example, stack-node V.sub.C11 can be compared to a relatively low value for V.sub.REF and then to a relatively high value for V.sub.REF (or vice versa) to verify that the voltage at stack-node V.sub.C11 falls within a desired range, such as 20% of a desired value. A multiplexor and comparator circuit 404 with added latch circuitry facilitates such comparisons.
(57) As should be clear, embodiments of any of the above-described measurement circuit architectures may be used to measure voltages at other nodes, such as V.sub.IN, V.sub.X, or V.sub.OUT, by coupling those nodes to an input of the comparator 412. Furthermore, these embodiments may also be used to measure or compare voltages between a pair of stack-nodes, particularly if reference signal source 414 (see
(58) Built-in Self-Test
(59) In some cases, such as after a charge pump IC is packaged in a circuit module, the stack-nodes V.sub.CXM are not accessible when the IC is assembled in a final product (e.g., soldered to a circuit board within a cellular phone handset). However, by using one of the measurement circuit architectures described above, the stack-nodes V.sub.CXM can be used to verify matching among pump capacitors (e.g., C1-C4 in
(60) As background, when applying a fixed current i to a capacitor C, the voltage V across the capacitor should increase according to EQ. 1:
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(62) During post-packaging testing, the voltage at each stack-node V.sub.CXM corresponding to a capacitor C.sub.XM can be monitored using an embodiment of one of the inventive measurement circuit architectures described above. The voltage of a monitored stack-node V.sub.CXM would be expected to reach a desired corresponding V.sub.REF value at time T.sub.CXM, which may be set as a sampling time for the measurement circuit. However, if the capacitance of the corresponding capacitor C.sub.XM is significantly below or above a target value (e.g., more than about 20% from a target value), the voltage measured at the corresponding stack-node V.sub.CXM at time T.sub.CXM will be too low or too high, indicating an out-of-specification capacitor.
(63) Thus, by using a measurement circuit architecture as described above, the stack-nodes V.sub.CXM can be monitored for out-of-bound conditions.
(64) Similarly, the voltage difference between adjacent stack-nodes (e.g., V.sub.C1M versus V.sub.C2M) may be measured during a switching phase when the switch connecting the adjacent stack-nodes is closed, and at a given current through the switch. Such information can then be used to determine the ON-resistance of the switch, as well as the magnitude of the current through the switch.
(65) As an example, for a 4-stage embodiment of the charge pump shown in
(66) TABLE-US-00001 TABLE 1 Expected Voltage Phase P1 Phase P2 5Vx V.sub.C11 V.sub.C12 4Vx V.sub.C12, V.sub.C22 V.sub.C11, V.sub.C21 3Vx V.sub.C21, V.sub.C31 V.sub.C22, V.sub.C32 2Vx V.sub.C32, V.sub.C42 V.sub.C31, V.sub.C41 1Vx V.sub.C41 V.sub.C42
(67) With this knowledge, stack-nodes can be selected for monitoring during each phase P1, P2 of the charge pump cycle. As an example, nodes to monitor for over-current protection may include V.sub.IN, V.sub.X, V.sub.C11, and V.sub.C41 when P1 is ON and P2 is OFF, and V.sub.IN, V.sub.X, V.sub.C12, and V.sub.42 when P2 is ON and P1 is OFF.
(68) With a selected value for a tolerance a (e.g., 20%), during each phase P1, P2 of the charge pump cycle, the selected nodes are sampled and compared against their expected V.sub.REF voltage . If any node satisfies an out-of-bound condition (i.e., is outside of the expected range), an error signal is asserted, indicating an out-of-specification capacitor, or an out-of-specification switch on-resistance, or even a possible fault condition.
(69) System Aspects
(70) Embodiments of the present invention are useful in a wide variety of larger radio frequency (RF) circuits and systems for performing a range of functions, including (but not limited to) impedance matching circuits, RF power amplifiers, RF low-noise amplifiers (LNAs), phase shifters, attenuators, antenna beam-steering systems, charge pump devices, RF switches, etc. Such functions are useful in a variety of applications, such as radar systems (including phased array and automotive radar systems), radio systems (including cellular radio systems), and test equipment.
(71) Radio system usage includes wireless RF systems (including base stations, relay stations, and hand-held transceivers) that use various technologies and protocols, including various types of orthogonal frequency-division multiplexing (OFDM), quadrature amplitude modulation (QAM), Code-Division Multiple Access (CDMA), Time-Division Multiple Access (TDMA), Wide Band Code Division Multiple Access (W-CDMA), Global System for Mobile Communications (GSM), Long Term Evolution (LTE), 5G, and WiFi (e.g., 802.11a, b, g, ac, ax), as well as other radio communication standards and protocols.
(72) As discussed above, the current invention encompasses power converter circuits, including DC-DC converter circuits, that conserve IC area by utilizing more area-efficient alternatives for measurement circuitry. Reducing IC area while retaining comparable or better functionality also reduces cost, or alternatively allows additional circuitryand thus functionalityto be included on the same IC without increasing overall IC size or cost.
(73) Methods
(74) Another aspect of the invention includes methods for measuring voltages at stack-nodes in a charge pump. For example,
(75) Another aspect of the invention includes methods for testing pump capacitors in a charge pump. For example,
(76) Fabrication Technologies & Options
(77) The term MOSFET, as used in this disclosure, includes any field effect transistor (FET) having an insulated gate whose voltage determines the conductivity of the transistor, and encompasses insulated gates having a metal or metal-like, insulator, and/or semiconductor structure. The terms metal or metal-like include at least one electrically conductive material (such as aluminum, copper, or other metal, or highly doped polysilicon, graphene, or other electrical conductor), insulator includes at least one insulating material (such as silicon oxide or other dielectric material), and semiconductor includes at least one semiconductor material.
(78) As used in this disclosure, the term radio frequency (RF) refers to a rate of oscillation in the range of about 3 kHz to about 300 GHz. This term also includes the frequencies used in wireless communication systems. An RF frequency may be the frequency of an electromagnetic wave or of an alternating voltage or current in a circuit.
(79) Various embodiments of the invention can be implemented to meet a wide variety of specifications. Unless otherwise noted above, selection of suitable component values is a matter of design choice. Various embodiments of the invention may be implemented in any suitable integrated circuit (IC) technology (including but not limited to MOSFET structures), or in hybrid or discrete circuit forms. Integrated circuit embodiments may be fabricated using any suitable substrates and processes, including but not limited to standard bulk silicon, silicon-on-insulator (SOI), and silicon-on-sapphire (SOS). Unless otherwise noted above, embodiments of the invention may be implemented in other transistor technologies such as bipolar, LDMOS, BCD, GaAs HBT, GaN HEMT, GaAs pHEMT, and MESFET technologies. However, embodiments of the invention are particularly useful when fabricated using an SOI or SOS based process, or when fabricated with processes having similar characteristics. Fabrication in CMOS using SOI or SOS processes enables circuits with low power consumption, the ability to withstand high power signals during operation due to FET stacking, good linearity, and high frequency operation (i.e., radio frequencies up to and exceeding 50 GHz). Monolithic IC implementation is particularly useful since parasitic capacitances generally can be kept low (or at a minimum, kept uniform across all units, permitting them to be compensated) by careful design.
(80) Voltage levels may be adjusted, and/or voltage and/or logic signal polarities reversed, depending on a particular specification and/or implementing technology (e.g., NMOS, PMOS, or CMOS, and enhancement mode or depletion mode transistor devices). Component voltage, current, and power handling capabilities may be adapted as needed, for example, by adjusting device sizes, serially stacking components (particularly FETs) to withstand greater voltages, and/or using multiple components in parallel to handle greater currents. Additional circuit components may be added to enhance the capabilities of the disclosed circuits and/or to provide additional functionality without significantly altering the functionality of the disclosed circuits.
(81) Circuits and devices in accordance with the present invention may be used alone or in combination with other components, circuits, and devices. Embodiments of the present invention may be fabricated as integrated circuits (ICs), which may be encased or assembled in IC packages and/or in modules for ease of handling, manufacture, and/or improved performance. In particular, IC embodiments of this invention are often used in modules in which one or more of such ICs are combined with other circuit blocks (e.g., filters, amplifiers, passive components, and possibly additional ICs) into one package. The ICs and/or modules are then typically combined with other components, often on a printed circuit board, to form an end product such as a cellular telephone, laptop computer, or electronic tablet, or to form a higher level module which may be used in a wide variety of products, such as vehicles, test equipment, medical devices, etc. Through various configurations of modules and assemblies, such ICs typically enable a mode of communication, often wireless communication.
CONCLUSION
(82) A number of embodiments of the invention have been described. It is to be understood that various modifications may be made without departing from the spirit and scope of the invention. For example, some of the steps described above may be order independent, and thus can be performed in an order different from that described. Further, some of the steps described above may be optional. Various activities described with respect to the methods identified above can be executed in repetitive, serial, or parallel fashion.
(83) It is to be understood that the foregoing description is intended to illustrate and not to limit the scope of the invention, which is defined by the scope of the following claims, and that other embodiments are within the scope of the claims. In particular, the scope of the invention includes any and all feasible combinations of one or more of the processes, machines, manufactures, or compositions of matter set forth in the claims below. (Note that the parenthetical labels for claim elements are for ease of referring to such elements, and do not in themselves indicate a particular required ordering or enumeration of elements; further, such labels may be reused in dependent claims as references to additional elements without being regarded as starting a conflicting labeling sequence).