This disclosure relates to non-volatile memory storage systems in solid-state drives or other devices, including but not limited to flash drives or embedded/removable flash packages. More specifically, this disclosure relates to systems and methods for, during program verify operations, predictively applying one or more parameter offsets to address the effects of fluctuations in the electrical characteristics due to variations in the oxide material thicknesses between individual storage elements of the memory.
Due to emerging technology and market forces, solid-state drives (SSDs) are steadily replacing previously conventional data storage systems that rely on the rotation of magnetic mediums for reading and writing data (e.g., hard disk drives). Rather than comprising any mechanical or moving parts, solid-state memory comprises integrated circuit assemblies or interconnected flash components to provide non-volatile storage in which stored data can be persistently retained even during a planned or unplanned interruption of power. As a result, a solid-state drive is inherently faster and more robust (i.e., less susceptible to data loss and corruption), as well as consumes less power and is more compact in comparison to disk-based storage. Accordingly, non-volatile memory is a powerful storage solution with respect to many types of computing, consumer electronic, and stand-alone external storage (e.g., USB drives) devices. Advances in non-volatile memory structures have led to significant increases in their storage density capability and a reduction in their power consumption, thereby lowering the per-bit and bit-per-chip cost.
Generally, a non-volatile memory device may be comprised of one or more arrays of individual memory cells. With respect to some flash memory types, each memory cell is comprised of a floating gate that is positioned above and isolated from a channel region of a semiconductor substrate, wherein the floating gate is positioned between the source and drain regions. Also, a control gate is provided over and isolated from the floating gate, wherein a threshold voltage (Vth) of the memory cell transistor is controlled by and dependent upon the amount of charge that is retained on the transistor's floating gate. Specifically, in a switch-like manner, a minimum amount of voltage that must be applied to the control gate of the transistor before the transistor is activated to permit conduction between its source and drain regions is, therefore, determined by the level of charge being retained on the floating gate. As a result, bit-value data can be programmed onto and erased from the cell by precisely changing the level of charge on the floating gate in order to change the threshold voltage (Vth) characteristic of the transistor. In an array structure, the memory cells are addressable by word lines (rows) and bit lines (columns). One type of non-volatile memory storage defined by this general structure is referred to as NAND flash memory based upon its electrical characteristics, which resemble a NAND logic gate.
As explained in detail below, the number of bits that can be stored in an individual memory cell is dependent upon the number of distinct voltage ranges that may be partitioned within the threshold voltage (Vth) window of that memory cell. For example, to store one bit of data (referred to as a binary data), the possible threshold voltage (Vth) of a memory cell can be divided into two voltage ranges, wherein the ranges are assigned as logical data “1” and “0” respectively. Accordingly, a memory cell of this storage density order may be referred to as a “single-level cell” or SLC.
By further partitioning the threshold voltage (Vth) window of a memory cell into additional distinct voltage ranges, multiple levels of information may be stored. A memory cell of this storage density order may be referred to as a “multi-state cell” or MLC. For example, in order to store two bits of data, the threshold voltage (Vth) window of a cell can be further partitioned into four distinct voltage ranges, with each range assigned a bit value equal to, for example, “11,” “10,” “01,” and “00.” Accordingly, following an erase operation, the cell's threshold voltage (Vth) is negative, which could be defined as logic “11.” As such, the positive threshold voltages (Vth) can be used for the programmed states of “10,” “01,” and “00.” In a further example, to store three bits of data, the threshold voltage (Vth) window of a cell may be partitioned into eight distinct voltage ranges, with each range assigned a bit value equal to, for example, “111,” “110,” “100,” “010,” “011,” “000,” “001,” and “101.” A memory cell of this storage density order may be referred to as a “tri-level,” “triple-level cell,” or TLC. In a further example, to store four bits of data, the voltage threshold window of a memory cell may be partitioned into 16 distinct voltage ranges (or states), wherein each voltage range is assigned a certain bit value that is equal to, for example, “1111,” “1110,” “1100,” “1000,” “0111,” “0011,” “0001,” “0000,” “0001,” “1001,” “1101,” “1011,” “0110,” “0100,” “0101,” and “1010.” A memory cell of this type of storage density may be referred to, for example, as a “quad-level cell” (QLC).
The specific relationship between the data programmed into a memory cell and the threshold voltage (Vth) levels of the memory cell depends on the data encoding pattern or data scheme adopted for the memory cells.
In addition to the increasing storage densities with respect to a single memory cell, advances in non-volatile memory array structures have led to memory cells being stacked in a vertical direction with respect to the semiconductor substrate, thus creating a three-dimensional array structure as opposed to a planar two-dimensional array structure.
Accordingly, as the industry continues to achieve smaller sized memory devices with increased storage densities in order to store more data, this scaling of density entails certain performance and durability risks due to the architectural changes. In order to achieve the advantage of higher memory capacity for a fixed die size, the memory cells must be packed relatively closer together. Doing so, however, may result in an increased number of manufacturing, memory operation, and performance errors. For example, according to various observations, in a scalable memory structure, there are distinct challenges in maintaining the stability and uniformity across an entire memory structure with respect to the semiconductor materials used to fabricate certain memory storage elements of the scalable memory. Such nonuniformities can lead to performance limitations and inconsistencies in, for example, the programming operations of a memory structure, due to the variations in the electrical characteristics. For example, there appears to be a distinct correlation, or dependence, between variations existing amongst the relative thicknesses of the multiple oxide layers (e.g., AiO or SiO) comprising a substructure (e.g., in a memory cell, string, or block) of a scalable memory device (as a consequence of existing fabrication processes) and inconsistencies in, for example, the threshold voltage (Vth) distribution amongst the memory element(s) comprising the structure. Further, a given memory structure may exhibit string location-dependent inconsistencies with respect to the optimal time period occurring between sense signals that are applied during a program verify operation. Therefore, there is a particular need for a mitigation or correction mechanism that can operate during, for example, a program verify memory operation and in a predictive manner to adjust the optimal time period occurring between the applied sense signals based upon the observed inconsistencies in the optimal time period that are otherwise exhibited across the memory structure as a result of the possible inherent variations in the electrical characteristics across the memory structure.
Various embodiments include a method for performing a program verify memory operation with respect to a target memory cell in a memory structure of a non-volatile memory system, the method comprising determining a location of the target memory cell within the memory structure and, based upon the determined location of the target memory cell and with respect to each programmable memory state: (1) applying a first sense signal at a first point in time, and (2) applying a second sense signal at a second point in time, wherein a time interval between the first and the second points in time is equal to a predetermined optimal time period plus or minus an offset parameter time value.
Other embodiments include a memory controller comprising a first port configured to couple to a non-volatile memory structure, wherein the memory structure comprises at least one vertical three-dimensional NAND-type memory array having a target memory cell, and wherein the memory controller is configured to: (1) initiate a program verify operation with respect to the target memory cell, (2) determine a location of the target memory cell within the memory array, and (3) based upon the determined location of the target memory cell and with respect to each programmable memory state: (a) apply a first sense signal at a first point in time, and (b) apply a second sense signal at a second point in time, wherein a time interval between the first and the second points in time is equal to a pre-determined optimal time period plus or minus an offset parameter time value.
Additional embodiments include a non-volatile memory system that is comprised of a memory structure comprised of: (1) at least one vertical three-dimensional NAND-type memory array having a target memory cell, and (2) a memory controller coupled to the memory structure and: (a) initiating a program verify operation with respect to the target memory cell, (b) determining a location of the target memory cell within the array, and (c) based upon the determined location of the target memory cell and with respect to each programmable memory state: (i) applying a first sense signal at a first point in time, and (ii) applying a second sense signal at a second point in time, wherein a time interval between the first and second points in time is equal to a pre-determined optimal time period plus or minus an offset parameter time value.
A more detailed description is set forth below with reference to example embodiments depicted in the appended figures. Understanding that these figures depict only example embodiments of the disclosure and are, therefore, not to be considered limiting of its scope, the disclosure is described and explained with added specificity and detail through the use of the accompanying drawings in which:
The following description is directed to various exemplary embodiments of the disclosure. Although one or more of these embodiments may be preferred, the embodiments disclosed should not be interpreted, or otherwise used, as limiting the scope of the disclosure, including the claims. In addition, one skilled in the art will understand that the following description has broad application, and the detailed explanation of any specific embodiment is meant only to be exemplary of that embodiment and is not intended to suggest that the scope of the disclosure, including the claims, is limited to that particular embodiment.
The several aspects of the present disclosure may be embodied in the form of an apparatus, system, method, or computer program process. Therefore, aspects of the present disclosure may be entirely in the form of a hardware embodiment or a software embodiment (including but not limited to firmware, resident software, micro-code, or the like), or may be a combination of both hardware and software components that may generally be referred to collectively as a “circuit,” “module,” “apparatus,” or “system.” Further, various aspects of the present disclosure may be in the form of a computer program process that is embodied, for example, in one or more non-transitory computer-readable storage media storing computer-readable and/or executable program code.
Additionally, various terms are used herein to refer to particular system components. Different companies may refer to a same or similar component by different names and this description does not intend to distinguish between components that differ in name but not in function. To the extent that various functional units described in the following disclosure are referred to as “modules,” such a characterization is intended to not unduly restrict the range of potential implementation mechanisms. For example, a “module” could be implemented as a hardware circuit that comprises customized very-large-scale integration (VLSI) circuits or gate arrays, or off-the-shelf semiconductors that include logic chips, transistors, or other discrete components. In a further example, a module may also be implemented in a programmable hardware device such as a field programmable gate array (FPGA), programmable array logic, a programmable logic device, or the like. Furthermore, a module may also, at least in part, be implemented by software executed by various types of processors. For example, a module may comprise a segment of executable code constituting one or more physical or logical blocks of computer instructions that translate into an object, process, or function. Also, it is not required that the executable portions of such a module be physically located together, but rather, may comprise disparate instructions that are stored in different locations and which, when executed together, comprise the identified module and achieve the stated purpose of that module. The executable code may comprise just a single instruction or a set of multiple instructions, as well as be distributed over different code segments, or among different programs, or across several memory devices, etc. In a software, or partial software, module implementation, the software portions may be stored on one or more computer-readable and/or executable storage media that include, but are not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor-based system, apparatus, or device, or any suitable combination thereof. In general, for purposes of the present disclosure, a computer-readable and/or executable storage medium may be comprised of any tangible and/or non-transitory medium that is capable of containing and/or storing a program for use by or in connection with an instruction execution system, apparatus, processor, or device.
Similarly, for the purposes of the present disclosure, the term “component” may be comprised of any tangible, physical, and non-transitory device. For example, a component may be in the form of a hardware logic circuit that is comprised of customized VLSI circuits, gate arrays, or other integrated circuits, or is comprised of off-the-shelf semiconductors that include logic chips, transistors, or other discrete components, or any other suitable mechanical and/or electronic devices. In addition, a component could also be implemented in programmable hardware devices such as field programmable gate arrays (FPGA), programmable array logic, programmable logic devices, etc. Furthermore, a component may be comprised of one or more silicon-based integrated circuit devices, such as chips, die, die planes, and packages, or other discrete electrical devices, in an electrical communication configuration with one or more other components via electrical conductors of, for example, a printed circuit board (PCB) or the like. Accordingly, a module, as defined above, may in certain embodiments, be embodied by or implemented as a component and, in some instances, the terms module and component may be used interchangeably.
Where the term “circuit” is used herein, it comprises one or more electrical and/or electronic components that constitute one or more conductive pathways that allow for electrical current to flow. A circuit may be in the form of a closed-loop configuration or an open-loop configuration. In a closed-loop configuration, the circuit components may provide a return pathway for the electrical current. By contrast, in an open-looped configuration, the circuit components therein may still be regarded as forming a circuit despite not including a return pathway for the electrical current. For example, an integrated circuit is referred to as a circuit irrespective of whether the integrated circuit is coupled to ground (as a return pathway for the electrical current) or not. In certain exemplary embodiments, a circuit may comprise a set of integrated circuits, a sole integrated circuit, or a portion of an integrated circuit. For example, a circuit may include customized VLSI circuits, gate arrays, logic circuits, and/or other forms of integrated circuits, as well as may include off-the-shelf semiconductors such as logic chips, transistors, or other discrete devices. In a further example, a circuit may comprise one or more silicon-based integrated circuit devices, such as chips, die, die planes, and packages, or other discrete electrical devices, in an electrical communication configuration with one or more other components via electrical conductors of, for example, a printed circuit board (PCB). A circuit could also be implemented as a synthesized circuit with respect to a programmable hardware device such as a field programmable gate array (FPGA), programmable array logic, and/or programmable logic devices, etc. In other exemplary embodiments, a circuit may comprise a network of non-integrated electrical and/or electronic components (with or without integrated circuit devices). Accordingly, a module, as defined above, may in certain embodiments, be embodied by or implemented as a circuit.
It will be appreciated that example embodiments that are disclosed herein may be comprised of one or more microprocessors and particular stored computer program instructions that control the one or more microprocessors to implement, in conjunction with certain non-processor circuits and other elements, some, most, or all of the functions disclosed herein. Alternatively, some or all functions could be implemented by a state machine that has no stored program instructions, or in one or more application-specific integrated circuits (ASICs) or field-programmable gate arrays (FPGAs), in which each function or some combinations of certain of the functions are implemented as custom logic. A combination of these approaches may also be used. Further, references below to a “controller” shall be defined as comprising individual circuit components, an application-specific integrated circuit (ASIC), a microcontroller with controlling software, a digital signal processor (DSP), a field programmable gate array (FPGA), and/or a processor with controlling software, or combinations thereof.
Further, the terms “program,” “software,” “software application,” and the like as may be used herein, refer to a sequence of instructions that is designed for execution on a computer-implemented system. Accordingly, a “program,” “software,” “application,” “computer program,” or “software application” may include a subroutine, a function, a procedure, an object method, an object implementation, an executable application, an applet, a servlet, a source code, an object code, a shared library/dynamic load library and/or other sequence of specific instructions that is designed for execution on a computer system.
Additionally, the terms “couple,” “coupled,” or “couples,” where may be used herein, are intended to mean either a direct or an indirect connection. Thus, if a first device couples, or is coupled to, a second device, that connection may be by way of a direct connection or through an indirect connection via other devices (or components) and connections.
Regarding, the use herein of terms such as “an embodiment,” “one embodiment,” an “exemplary embodiment,” a “particular embodiment,” or other similar terminology, these terms are intended to indicate that a specific feature, structure, function, operation, or characteristic described in connection with the embodiment is found in at least one embodiment of the present disclosure. Therefore, the appearances of phrases such as “in one embodiment,” “in an embodiment,” “in an exemplary embodiment,” etc., may, but do not necessarily, all refer to the same embodiment, but rather, mean “one or more but not all embodiments” unless expressly specified otherwise. Further, the terms “comprising,” “having,” “including,” and variations thereof, are used in an open-ended manner and, therefore, should be interpreted to mean “including, but not limited to . . . ” unless expressly specified otherwise. Also, an element that is preceded by “comprises . . . a” does not, without more constraints, preclude the existence of additional identical elements in the subject process, method, system, article, or apparatus that comprises the element.
The terms “a,” “an,” and “the” also refer to “one or more” unless expressly specified otherwise. In addition, the phrase “at least one of A and B” as may be used herein and/or in the following claims, whereby A and B are variables indicating a particular object or attribute, indicates a choice of A or B, or both A and B, similar to the phrase “and/or.” Where more than two variables are present in such a phrase, this phrase is hereby defined as including only one of the variables, any one of the variables, any combination (or sub-combination) of any of the variables, and all of the variables.
Further, where used herein, the term “about” or “approximately” applies to all numeric values, whether or not explicitly indicated. These terms generally refer to a range of numeric values that one of skill in the art would consider equivalent to the recited values (e.g., having the same function or result). In certain instances, these terms may include numeric values that are rounded to the nearest significant figure.
In addition, any enumerated listing of items that is set forth herein does not imply that any or all of the items listed are mutually exclusive and/or mutually inclusive of one another, unless expressly specified otherwise. Further, the term “set,” as used herein, shall be interpreted to mean “one or more,” and in the case of “sets,” shall be interpreted to mean multiples of (or a plurality of) “one or mores,” “ones or more,” and/or “ones or mores” according to set theory, unless expressly specified otherwise.
In the detailed description that follows, reference is made to the appended drawings, which form a part thereof. It is recognized that the foregoing summary is illustrative only and is not intended to be limiting in any manner. In addition to the illustrative aspects, example embodiments, and features described above, additional aspects, exemplary embodiments, and features will become apparent by reference to the drawings and the detailed description below. The description of elements in each figure may refer to elements of proceeding figures. Like reference numerals may refer to like elements in the figures, including alternate exemplary embodiments of like elements.
Referring now to the drawings in detail and beginning with
Still referring to
With respect to the memory array 200 itself,
Thus, as mentioned above, the more states that a memory cell 10 is made to store, the more finely divided is its threshold voltage (Vth) window. For example, in a memory cell 10 having a threshold voltage (Vth) window ranging from −1.5 V to 5 V, and thereby providing a possible maximum width (or distribution) of 6.5 V and storage across 16 memory states, each memory state may only occupy a voltage range of, for example, 200 mV to 300 mV. However, such a narrow voltage range will require higher precision in both the programming and read memory operations to achieve the required resolution.
According to certain exemplary embodiments, the individual memory cells 10 are organized into one or more strings, wherein each string is comprised of memory cells placed in series. For example, depicted in
Expanding outward a hierarchical level,
Further, the control gates 32 of the select transistors S1, S2 of each NAND string 50 in the memory array 210 provide control access to the NAND string at its source terminal 54 and drain terminal 56. The control gates 32 of the select transistors S1, S2 along a row in a bank of NAND strings 50 are connected to the same select line 44. Thus, an entire row of memory cells 10 in a bank of NAND strings 50 can be addressed by applying the appropriate voltages on the word lines (WL) 42 and select lines 44 of the bank of NAND strings 50.
Referring now to
Regarding the manner in which data is programmed and erased, it is important to note that, with respect to flash memory, a memory cell must be programmed from an erased state. In other words, a floating gate 20 must first be emptied of charge, thereby placing the memory cell in an erased state, before a programming operation can subsequently add a desired amount of charge back to the floating gate 20. Thus, the level of charge on a floating gate 20 cannot be incrementally increased or decreased from its previous programmed level. Therefore, it is not possible for update data to overwrite the existing data of a memory cell 10. Rather, the update data must be programmed to a previous unwritten location.
For purposes of promoting performance in erase operations, an array 210 of memory cells 10 is, for example, divided into a large number of blocks of memory cells, wherein a block is the smallest unit of the memory device in which the memory cells contained may be erased together. Furthermore, each block of memory cells 10 may be divided into a number of physical pages 60 wherein, as mentioned above, a programming operation is conducted page by page. Accordingly, a logical page is a unit of programming or reading that contains a number of bits equal to the number of memory cells 10 in a given physical page.
To illustrate an exemplary embodiment of the programming stages of, for example, a MLC memory device that is comprised of a population of four-state memory cells, reference is made to
To illustrate an exemplary embodiment of the programming stages of, for example, a MLC memory device that is comprised of a population of four-state memory cells, reference is made to
In
Referring back to the overall architecture of a memory system that is, for example, depicted in
Still referring to
According to certain exemplary embodiments, the controller 100 manages data that is stored in the memory device 102 and communicated with the host 80. The controller 100 may have various functionalities that include, for example, formatting the memory to ensure it is operating properly, map out bad memory components, and allocate spare memory cells to be substituted for future failed cells. In operation, when a host 80 needs to read data from or write data to the memory, it will communicate with the controller 100. If the host provides a logical address to which data is to be read/written, the controller 100 can convert the logical address received from the host to a physical address in the memory. Alternatively, the host can provide the physical address. In further embodiments, the controller 100 can perform various memory management functions such as, but not limited to, wear leveling (distributing writes in order to avoid repeatedly writing, and thereby wearing out, specific blocks of memory) and garbage collection in which, for example, valid pages of data are culled (or moved) from a full memory block in order for the entire block to be erased and reused.
The components of the controller 100 may take the form of a packaged functional hardware unit (e.g., an electrical circuit) designed for use with other components, a portion of a program code (e.g., software or firmware) executable by a (micro) processor or processing circuitry that usually performs a particular function of related functions, or a self-contained hardware or software component that interfaces with a larger system, for example. In some exemplary embodiments, each module may comprise an application-specific integrated circuit (ASIC), a Field Programmable Gate Array (FPGA), a circuit, a digital logic circuit, an analog circuit, a combination of discrete circuits, gates, or any other type of hardware or combination thereof. Alternatively, or in addition, each module may include software stored in a processor readable device (e.g., memory) to program a processor for controller 100 to perform the desired functions.
Additionally, the control circuitry 115 cooperates with the read/write/erase circuits 170 in performing memory operations (e.g., read, program, erase, etc.) with respect to memory structure 200, and includes, for example, a state machine 112, an on-chip address decoder 114, and a power control module 116. The state machine 112 provides die-level control of memory operations that include, for example, programming certain memory cells to different final target states. Further, the on-chip address decoder 114 provides an address interface between the addresses used by host 80 or controller 100 to the hardware address used by row and column decoders 130, 132. The power control module 116 controls the power and voltages that are supplied to the word lines and bit lines during memory operations. As such, the power control module 116 may comprise drivers for word line layers (with respect to a 3D memory configuration), select transistors, and source lines. Also, the power control module 116 may include charge pumps for generating voltages. The sense blocks 180 include the bit line drivers. Any one or any combination of control circuitry 115, state machine 112, decoders 114/130/132, power control module 116, sense blocks 180, read/write/erase circuits 170, and/or controller 100 can be considered a control circuit that performs the functions described herein.
As described above, memory cells of the memory structure 200 may be arranged in a single memory device level in an ordered two-dimensional array of a plurality of rows and/or columns. Alternatively, a three-dimensional memory array may be arranged such that memory cells occupy multiple planes or multiple memory device levels, thereby forming a structure that has three dimensions (e.g., in the x, y, and z directions, wherein the z direction is substantially perpendicular and the x and y directions are substantially parallel to the major surface of the semiconductor substrate). In some exemplary embodiments, a three-dimensional memory structure 200 may be vertically arranged as a stack of multiple two-dimensional memory array device levels. In other exemplary embodiments, the three-dimensional memory structure 200 is arranged as multiple vertical columns (wherein each column extends substantially perpendicular to the major surface of the substrate, i.e., in the z direction) with each column having multiple memory cells. In this example, the vertical columns may be arranged in a two-dimensional configuration (i.e., in the x-y plane), thereby forming a three-dimensional arrangement in which the memory cells are on multiple vertically stacked memory planes. Other configurations of memory elements in three dimensions can also constitute a three-dimensional memory array. However, generally speaking, a three-dimensional NAND array may be constructed by tilting a two-dimensional memory structure, such as structures 50 and 210 of
Referring now to
Turning to
The side view that is provided in
Returning now to the programming and erase memory operations with respect to non-volatile memory, these two operations may be generally described in the following manner. As described above, each cell comprises a floating gate MOS transistor, wherein the floating gate (FG) is an electrically isolated conductor. Accordingly, when programming a memory cell, a relatively high voltage is applied to the control gate of the memory cell (in the case of a two-dimensional array) or the appropriate word line (WL) (in the case of a three-dimensional array) and, as a result, electrons are injected into the floating gate by means of, for example, Fowler-Nordheim (F-N) Tunneling. Data bits are then stored by trapping charge on the floating gate, wherein the logic value is defined by its threshold voltage and the amount of electrical charge stored. Conversely, to erase a memory cell, electrons in the floating gate are removed by, for example, a process referred to as quantum tunneling, to the source and/or the semiconductor substrate. More specifically, in some exemplary embodiments, electrons are removed from the charge trapping layer (i.e., floating gate) by applying a low voltage to the control gate and increasing the channel voltage to a high voltage, thereby creating an electric field that causes electrons to be pushed back into the semiconductor substrate. This process is diagrammatically illustrated in
As mentioned above, these high storage density memory structures, such as the BiCS type described, for example, with respect to the embodiment depicted in
By way of background,
As mentioned above, the optimal time period or interval separating consecutive sense signals according to the above program verify operation scheme may become skewed from a predetermined parameter value when uniformly applied to a given memory structure due to the variations in electrical characteristics and/or behaviors exhibited across the memory structure, which are particularly evident when comparing between the inner and outer memory strings. Accordingly, offset time values to the optimal time period parameter occurring between consecutive sense signals may be built into the verify voltage biasing scheme in order to accommodate the effects of cell structural variations in a given memory structure, wherein the offset time values may be predetermined and can be derived using a comparative technical data analysis of the memory operation performance (e.g., an analysis of an optimal time period occurring between consecutive sense signals) at various locations within the memory structure. While the exact offset time values employed may differ amongst differing memory structures, configurations, and/or implementations, the flow diagram in
Beginning at step 1400 in
It should be noted that although the general methodology set forth in
Further, in the exemplary embodiment shown in
The exemplary embodiments shown in
The above discussion is meant to be illustrative of the principles and various embodiments of the present invention. Numerous variations and modifications will become apparent to those skilled in the art once the above disclosure is fully appreciated, and may be employed without departing from the scope of the disclosure, limited only by any practical limitations related to the materials and the physical principles of the devices that are described. Accordingly, it is intended that the following claims be interpreted to embrace and encompass all such variations and modifications.