The present invention relates generally to a non-volatile memory system, and more particularly to a method for improving data integrity including with accessing memory using soft information.
Recently, there has been a growing demand for memory storage devices using NAND Flash memory due to their attractive features such as low power consumption, high data throughput, and small size. The original NAND flash architecture was referred to as single level cell (SLC) since it would only store one bit per in each memory cell (a floating gate transistor). More recent devices can store multiple bits per cell and are referred to as multi-level cell (MLC) flash.
In a solid state drive (SSD), a common requirement is that the drive maintains constant performance throughout its life. Some measures of performance are the operating power, the read throughput, and the average latency. In practice, reliability of the information stored in the flash decreases due to several factors such as cell-to-cell interference, charge leakage, over programming and read/write disturbance. These effects will become more severe with the age of the flash and the number of stored bits per cell. To resolve these issues, error correction codes (ECC) have been used to ensure data integrity and reliable data storage throughout the life of flash memory cells. By applying ECC, additional error correction bits are sent along the original data bits to protect the user data from errors caused by the weak or failing flash memory cells. Unfortunately, the addition of the error correction bits can reduce usable capacity. The fixed structure of the error correction codes can unnecessarily burden the storage capacity when no correction is necessary but can be insufficient to correct the user data as the flash memory cells wear.
Thus, a need still remains for a non-volatile memory system with error correction that can provide enhanced performance and longevity of a non-volatile storage system. In view of the growing market in the personal computer and peripheral areas, it is increasingly critical that answers be found to these problems. In view of the ever-increasing commercial competitive pressures, along with growing consumer expectations and the diminishing opportunities for meaningful product differentiation in the marketplace, it is critical that answers be found for these problems. Additionally, the need to reduce costs, improve efficiencies and performance, and meet competitive pressures adds an even greater urgency to the critical necessity for finding answers to these problems.
Solutions to these problems have been long sought but prior developments have not taught or suggested any solutions and, thus, solutions to these problems have long eluded those skilled in the art.
The present disclosure provides a system and method of improving data integrity in a non-volatile memory system. In one implementation, improving data integrity can include accessing a non-volatile memory cell for retrieving hard data bits representing the user data. The non-volatile memory system generates soft information by capturing a reliability of the hard data bits without adding a capacity burden to the solid state drive. The non-volatile memory system calculates syndrome bits by applying a lossy compression to the soft information for minimizing the impact of error correction when it is needed. The non-volatile memory system thengenerates host data by executing a low density parity check (LDPC) iterative decode on the hard data bits and the syndrome bits for increasing the reliability of the user data without unnecessarily impacting capacity or performance.
Certain embodiments of the invention have other steps or elements in addition to or in place of those mentioned above. The steps or elements will become apparent to those skilled in the art from a reading of the following detailed description when taken with reference to the accompanying drawings.
The following embodiments are described in sufficient detail to enable those skilled in the art to make and use the claimed invention. It is to be understood that other embodiments would be evident based on the present disclosure, and that system, process, or mechanical changes may be made without departing from the scope of the claimed invention.
In the following description, numerous specific details are given to provide a thorough understanding of the invention. However, it will be apparent that the invention may be practiced without these specific details. In order to simplify the disclosure, some well-known circuits, system configurations, and process steps are not disclosed in detail.
The drawings showing embodiments of the system may be drawn not to scale. Similarly, although the views in the drawings for ease of description generally show similar orientations, this depiction in the figures is arbitrary for the most part. Generally, the invention can be operated in any orientation.
The same numbers are used in all the drawing FIGs. to relate to the same elements. The embodiments have been numbered first embodiment, second embodiment, etc. as a matter of descriptive convenience and are not intended to have any other significance or provide limitations for the present invention.
Various embodiments described here include a new approach to improving data integrity in a non-volatile memory system. This approach includes a method including: accessing a non-volatile memory cell for retrieving hard data bits; generating soft information by capturing a reliability of the hard data bits; calculating syndrome bits by applying a lossy compression to the soft information; and generating a host data by executing a low density parity check (LDPC) iterative decode on the hard data bits and the syndrome bits.
The present invention provides a non-volatile memory system, including: a non-volatile memory cell, coupled to a destination register, for retrieving hard data bits; a soft information module, coupled to the destination register, for capturing a reliability of the hard data bits; a lossy compression module, coupled to the soft information module, for calculating syndrome bits; and an error correction module, coupled to the lossy compression module, for generating a host data by executing a low density parity check (LDPC) iterative decode on the hard data bits and the syndrome bits.
Referring now to
The storage power manager 112 can provide operational power and alerts to a controller module 114 and an array 116 of a non-volatile memory device 118. The non-volatile memory device 118 can be NAND flash memory, single-level cell (SLC) flash memory, or multi-level cell (MLC) flash memory. The array 116 of the non-volatile memory device 118 can be coupled through a flash data bus 115 to the controller module 114. The controller module 114 can be a hardware module having a processor module 120, a processor memory module 122, a flash interface controller 124, a non-volatile memory controller 126, and an error correction module 128, such as a low density parity check (LDPC) decoder module.
The processor module 120 can perform maintenance and support tasks for the non-volatile memory system 100. The processor memory module 122 can be coupled to the processor module 120 to operate as data cache, temporary storage, instruction storage, and interface state memory.
The flash interface controller 124 is a hardware structure coupled between the flash data bus 115, and the error correction module 128. The flash interface controller 124 can manage the transfer of the hard data bits read from the non-volatile memory device 118. The hardware for the flash interface controller 124 can be a multiplexed structure that uses the flash data bus 115 to transfer the either the hard data bits read from the non-volatile memory device 118 or soft correction bits used by the error correction module 128.
Data written to the non-volatile memory device 118 can be randomized for either security reasons or for endurance and retention requirements. The resulting data is known to have high entropy, such as 50% 1's and 50% 0's. The number of data bits written at a value of 1 or 0 can be predicted. As the non-volatile memory device 118 ages a ratio of the number of 1's to 0's will change due to charge depletion in the non-volatile memory device 118. The charge depletion can occur due to the age of the data or an excessive number of reads of the data in the non-volatile memory device 118.
In normal operation, spurious data errors can be corrected by the error correction module 128 without re-reading the erroneous data blocks. As the charge is depleted with a given threshold voltage (Vth), the ratio of the number of 1's to 0's can change. As the number of bit errors increases, additional levels of the soft correction bits can be needed by the error correction module 128 to provide corrected data.
The processor module 120 can detect the increasing use of the error correction module 128. The processor module 120 can configure the flash interface controller 124 in order to invoke an increased number of the soft correction bits to the error correction module 128. The output of the flash interface controller 124 can steer the hard data bits to the error correction module 128 and the soft correction bits to additional logic to aid in the correction process.
It is understood that the activation of the flash interface controller 124 can be part of an error recovery process or as part of a continuous monitoring of the condition of the data within the non-volatile memory device 118. It is further understood that the adjustments of the threshold voltage (Vth) can be implemented to automatically apply to the non-volatile memory device 118 without intervention of the processor module 120.
It has been discovered that the flash data controller 124 can aid in the correction of the hard data read from the non-volatile memory device 118 while minimizing the use of additional power and latency. It has further been discovered that the flash interface controller 124 can quickly assist in the identification of suspect bits in the hard data read from the non-volatile memory device 118 while minimizing the utilization of additional power and latency.
Referring now to
The non-volatile memory device 118 can include a number of non-volatile memory cells 202 coupled through a read bus 204 to a destination register 206. The destination register 206 can include a first read register 208 and a second read register 210. The first read register 208 and the second read register 210 can each receive the hard data bits from the read bus 204 at a different threshold voltage (VTH) (not shown). The subsequent reads of the same data location using different levels of the threshold voltage can load the same data in the first read register 208 and the second read register 210 or it can cause some of the bits to change value. In the event none of the bits change, the reliability of all of the bits is known with high confidence.
An output of the destination register 206 can be hard data bits 212. If the confidence in all of the hard data bits 212 is high, the code word, represented by the hard data bits 212, can be correctly decoded by the error correction module 128 and the results are presented on the host data bus 104. It is understood that while the hard data bits 212 are shown as a single line, the number of the hard data bits 212, represented in a code word decoded by the error correction module 128, can be 8 bits, 16 bits, 32 bits, 64 bits or some other number of bits limited only by the design of the controller module 114 and the non-volatile memory device 118.
In the event the bit values in the first read register 208 and the second read register 210 are different, the individual bits that change value are suspect and can be flagged as having a probability of being the incorrect value as transferred in the hard data bits 212. A reliability logic module 214 can compare changes of the data bits from the first read register 208, loaded at a first threshold voltage (VTH) and the second read register 210, loaded at a second threshold voltage (VTH), based on the change in threshold voltage (VTH) applied to the non-volatile memory cell 202. The reliability logic module 214 can be coupled to a soft information module 216 for generation of soft information 218 indicating the probability of the correctness of the hard data bits 212. The soft information module 216 can provide an offset pointer (not shown) for accessing selected portions of the soft information 218.
It is understood that the destination register 206 can have additional registers beyond the first read register 208 and the second read register 210 in order to capture additional information about the number of bits that change due to changes in the threshold voltage (VTH). It is also understood that the reliability logic module 214 can be integrated into the destination register 206. The reliability logic module 214 is shown separately to clarify the function.
A lossy compression module 220 can perform a lossy compression of the soft information 218. The lossy compression module 220 can reduce the size of the soft information 218 by selecting a subset of the soft information 218 for transfer to the controller module 114. The lossy compression module 220 can reduce the transfer time and power required to convey the soft information 218 to the controller module 114. By way of an example, the lossy compression module can be structured to transfer only every Nth bit of the soft information 218, which requires (1/N)th of the time to complete the transfer and (1/N)th of the energy that would be required to transfer all of the bits of the soft information 218.
The lossy compression module 220 can provide a syndrome bits 222 that reflects the lossy compression of the soft information 218. The syndrome bits 222 can be coupled to a multiplexer 224 for transferring the syndrome bits 222 across the flash data bus 115. A selection controller 226 can control the data select line 228 in order to switch the multiplexer between the hard data bits 212 and the syndrome bits 222. The output of the multiplexer 224 is the flash data bus 115, which is coupled to a demultiplexer 230 for steering the hard data bits 212 to the error correction module 128 and the syndrome bits 222 to a decompression module 232.
The selection controller 226 can maintain the selection of the hard data bits 212 until a code word is not correctly decoded. Upon detecting a decode error from the error correction module 128, the selection controller 226 can select the syndrome bits 222. The syndrome bits 222 is generated during the decode process of the error correction module 128 and is waiting for transmission when the selection controller 226 switches the data select line 228.
The decompression module 232 can perform an iterative cycle decompression of the syndrome bits 222. The decompression module 232 can accept a second transfer of the syndrome bits 222 without discarding the first transfer. A compute log likelihood ratio (LLR) module 234 can calculate the probability of an individual bit being in error. The compute LLR module 234 can be coupled to the error correction module 128 for aiding in the LDPC decode of the code word.
The compute LLR module 234 can calculate the probability that bits addressed by the decompression module 232 contain an incorrectly read bit. The compute LLR module 234 can be a hardware accelerator, combinational logic, a micro-programmed hardware sequencer, or other fast calculating combination. Probability bits 236, calculated by the compute LLR module 234, can be applied to the error correction module 128 for executing an LDPC iterative decode process of the code word represented by the hard data bits 212. Any of the bits that are not reflected in the probability bits 236 is assumed to be a valid bit. If a subsequent LDPC decode performed by the error correction module 128 is unsuccessful, additional sets of the syndrome bits 222 can be iteratively transferred to the decompression module 232, which will add them to the syndrome bits 222 previously transferred in order to provide additional of the probability bits 236 and increase the bit correction capability to the error correction module 128.
It has been discovered that the non-volatile memory system 100 of
Referring now to
A transmit soft information module 304 will cause the selection controller 226 of
The syndrome bits 222 can be gated through the multiplexer 224 of
A perform soft decoding module 306 can signal the error correction module 128 to perform the iterative decoding of the code word represented by the hard data bits 212 and the probability bits 236. A check decode successful module 308 can determine whether the iterative soft decode yielded a valid code word. It the iterative soft decode was successful a read next data module 310 can be invoked. The read next data module 310 can switch the data select line 228 in order to gate the contents of the destination register 206 of
If the check decode successful module 308 determines that the error correction module 128 was unsuccessful in the iterative soft decode, an increment start bit location module 312 can cause the lossy compression module 220 to index the starting bit location to K+1. This indexing would cause the syndrome bits 222 to represent bit 1, bit N+1, bit 2N+1, bit 3N+1, etc.
A maximum count check module 314 can determine whether the maximum number of the syndrome bits 222 has been transferred, or the iterative soft decoding has reached a programmatic maximum number of attempts. When the value of K is equal to N, all of the soft information 218 would have been transferred. If the maximum count check module 314 determines that the maximum count has not been reached, the transmit soft information module 304 can retrieve the next set of the syndrome bits 222 for another attempt of the iterative soft decode can be attempted. If the transmit soft information module 304 determines the maximum count has been reached, an error flag can be set in the controller module 114 and the read next data module 310 can be invoked to re-read the erroneous data as part of an error recovery process or it can increment the address in the non-volatile memory device 118 of
It has been discovered that transfer of the syndrome bits 222 from the lossy compression module 220 can correct the vast majority of the unsuccessful decode of the code word by the error correction module 118. Due to the monitoring and exchange of bad pages within the non-volatile memory cells 202, most of the data will be read with high reliability. As the non-volatile memory device 118 ages an increased number of single and double bit errors can be detected. The correction of these errors can be performed by the non-volatile memory system 100 while still utilizing less time and less energy than would be required by other error correction mechanisms.
By way of an example, with the value of N=4, every 4th bit of the soft information 218 can be used to perform the iterative soft decode an example read of the hard data bits 212, the soft information 218, the syndrome bits 222 represented by every 4th bit of the soft information 218.
The LLR values show the probability bits 236 value with all of the soft information 218 transferred. A value of 15 is a very confident 1 and a value of −15 is a very confident 0. The lower the absolute number of the probability the less confidence is conveyed. In the example the LLR for X of the soft information 218 has the correct values for the syndrome bits 222 that are available and the remaining bits are assumed to most likely be correct. As more of the syndrome bits 222 become available, more of the suspect bits will be identified and can be corrected. In the example above a LLR value of −3 represents a weak 0 and a LLR value of 3 represents a weak 1. The error correction module 128 can iteratively reverse the value of the low confidence bits during the iterative soft decode process in order to correct the code word.
Referring now to
The value of M represents a span of the hard data bits 212 that are reflected in the soft information 218 provided by the lossy compression module 220. The value of M must be greater than or equal to 2. The syndrome bits 222 can convey the minimum reliability across the span of M bits, the average reliability across the span of M bits, or the median value of the reliability across the span of M bits. Each of the different meanings of M would require a different LDPC decode strategy to be implemented. In this description, the syndrome bits 222 convey the minimum reliability across the span of M bits.
By way of an example, the soft information 218 can include 3 bits for each of the hard data bits 212. The most significant bit can indicate the value of the detected bit as either a 1 or a 0. The remaining two bits can indicate the confidence that the value of the detected bit is correct. The confidence bits can represent values of 0-3, where a value of 3 indicates high confidence that the detected bit is correct and a value of 0 indicates low confidence.
By way of an example, with the value of M and N=4, every 4th bit of the soft information 218 can represent the lowest confidence across the span of 4 bits, This information can be used to perform the iterative soft decode an example read of the hard data bits 212, the soft information 218, the syndrome bits 222 represented by every 4th bit of the soft information 218.
A transmit soft information span module 404 will cause the selection controller 226 of
A perform soft decoding module 406 can signal the error correction module 128 to perform the LDPC iterative decoding of the code word represented by the hard data bits 212 and the probability bits 236 of
If the check decode successful module 408 determines that the error correction module 128 was unsuccessful in the iterative soft decode, a maximum count check module 412 can determine whether the maximum number of the syndrome bits 222 has been transferred, or the iterative soft decoding has reached a programmatic maximum number of attempts. When the value of K is equal to N, all of the soft information 218 would have been transferred. If the maximum count check module 412 determines that the maximum count has not been reached, a transmit soft information module 414 can retrieve a set of the syndrome bits 222 for another attempt of the iterative soft decode can occur. The transmit soft information module 414 will cause the selection controller 226 of
If the maximum count check module 412 determines that the maximum count has been reached, an error flag can be set in the controller module 114 of
An increment start bit location module 416 can cause the lossy compression module 220 to index the starting bit location to K+1. This indexing would cause the syndrome bits 222 to represent bit 1, bit N+1, bit 2N+1, bit 3N+1, etc. in preparation for the next transfer of the syndrome bits 222. The error correction module 128 can gain an understanding of the distribution of the unreliable bit locations from the initial syndrome bits 222 covering the spans of M bits. When the additional syndrome bits 222 are added to the LDPC iterative decode process a quick clarification of the suspect bits can lead to a valid decode of the code word.
It has been discovered that the use of the syndrome bits 222 that reflect the lowest confidence in a span of the hard data bits 212 can allow the error correction module 128 to concentrate the LDPC iterative decode process on the spans that have the lowest confidence. Since most of the hard data bits 212 are highly reliable knowing which spans have suspected bits can resolve the decode without additional information. If additional information is needed to resolve the code word, the syndrome bits 222 can be transferred in order to complete the LDPC iterative decode process.
Referring now to
In table 3, the “Prob of Occur” indicates the probability of occurrence of the number of bits being suspect within the span designated by N=8 for this example. The error correction module 128 would have a very high probability in excess of 90% of being able to perform the LDPC iterative decode process without using the syndrome bits 222 at all. By implementing the variable length of the syndrome bits 222, the amount of time and energy used for correctly decoding the hard data bits 212 can be minimized.
The lossy compression module 220 can provide a variable length for the syndrome bits 222 per the values in table 3. The lossy compression module 220 can examine 8 of the bits of the soft information 218 at a time and construct the syndrome bits 222 to transfer in the lowest possible time and with the lowest possible energy utilized. With this strategy, each of the 8 bit spans in the code word can have the syndrome bits 222 terminated by a 0 value. By counting the preceding number of 1's in the syndrome bits 222, the error correction module 128 can know how many of the hard data bits 212 are possibly in error for each 8 bit span.
The control flow 501 depicts an error detected module 502 that indicates the hard data bits 212 of
A transmit soft information module 504 will cause the selection controller 226 of
The syndrome bits 222 can be gated through the multiplexer 224 of
In order to clarify the description, it is assumed that the number of the hard data bits 212 is limited to 8 for this example. It is understood that the algorithm can be expanded to any bus width for the hard data bits 212.
A zero bad bits check 506 can verify whether there are no unreliable bits indicated in the soft information 218. If the zero bad bits check 506 determines that none of the hard data bits 212 are unreliable, a send syndrome 1 module 508 can transfer the syndrome bits 222 from table 3 to the decompression module 232.
A perform soft decode module 510 can trigger the error correction module 128 to perform the LDPC iterative decode process again. A successful decode check 512 can verify that the LDPC iterative decode process was successful. If the LDPC iterative decode process was successful, a read next data module 514 can switch the data select line 228 in order to gate the contents of the destination register 206 of
If the successful decode check 512 verifies that the LDPC iterative decode process was not successful, an increment start bit location module 516 can increment K to K+1 in preparation for analyzing the soft information 218 again. A maximum count check module 518 can determine whether the maximum offset of K has been met. When the value of K is equal to K_MAX, all of the soft information 218 would have been transferred and the control flow can move to the read next data module 514. An error flag can be set in the controller module 114 and the read next data module 310 can be invoked to re-read the erroneous data as part of an error recovery process or it can increment the address in the non-volatile memory device 118 of
If the maximum count check module 518 can determine that the maximum offset of K has not been met, an update soft information module 520 can initiate multiple reads of the non-volatile memory cells 202 with the threshold voltage (VTH) offset. The update soft information module 520 can reload the destination register 206 of
The control flow 501 can sort the soft information within the lossy compression module 220. A one bad bit check 522 can look for a single unreliable bit in the hard data bits 212. If a single unreliable bit is determined, a send syndrome 2 module 524 can send the syndrome bits 222 equal to “10”, from table 3, to the decompression module 232 and the flow can invoke the LDPC iterative decode process in the error correction module 128.
If the one bad bit check 522 does not find only the single bit to be unreliable, a two bad bit check 526 can look for two unreliable bits in the hard data bits 212. If two unreliable bits are determined, a send syndrome 3 module 528 can send the syndrome bits 222 equal to “110”, from table 3, to the decompression module 232 and the flow can invoke the LDPC iterative decode process in the error correction module 128.
If the two bad bit check 526 does not find only two bits to be unreliable, a three bad bit check 530 can look for three unreliable bits in the hard data bits 212. If three unreliable bits are determined, a send syndrome 4 module 532 can send the syndrome bits 222 equal to “1110”, from table 3, to the decompression module 232 and the flow can invoke the LDPC iterative decode process in the error correction module 128.
If the three bad bit check 530 does not find only three bits to be unreliable, a send syndrome 5 module 534 can send the syndrome bits 222 equal to “11110”, from table 3, to the decompression module 232 and the flow can invoke the LDPC iterative decode process in the error correction module 128. The send syndrome 5 module 534 can indicate that there are four or more unreliable bits in the hard data bits 212.
By way of an example, a different variable length of the syndrome bits 222 can be defined, in contrast to the contents of table 3, to deliver a finer granularity in the designation of the location of the unreliable bits located in the hard data bits 212 in order to aid in the LDPC iterative decode process performed by the error correction module 128. A unique version of the syndrome bits 222 can be specified for groups of bits in the hard data bits 212. This approach can simplify the design of the error correction module 128 as well as speeding-up the LDPC iterative decode process. Since the vast majority of the hard data bits 212 are reliable, the infrequent occurrence of a transfer of the syndrome bits 222 maintains the goal of the non-volatile memory system 100 of
An approach to provide additional detail of the location of the unreliable bits could be provided as shown in table 4 below.
By providing the finer granularity of the location of the unreliable bits in the hard data bits 212, the correction time and complexity of the LDPC iterative decode process can be reduced. The design of the compute LLR module 234 of
The designation of additional combinations of the syndrome bits 222 can be extended to include the likely location of two bits that are unreliable by extending the syndrome bits 222 to cover different bit combinations. This approach can be extended to increase the complexity of the syndrome bits 222 while further simplifying the error correction module 128 and the compute LLR module 232. By way of an implementation example without limiting the claimed invention, the lossy compression module 220 can use the soft information 218 to address a look-up table (not shown) that can be configured by the controller module 114 of
An expansion of the syndrome bits 222 to cover two bit errors can be demonstrated by the additional codes shown in table 5 below:
More efficient codes, requiring more complex decoding and more complex encoding, can be constructed. An example of such codes is shown in Table 6. Note that while this code provides almost the same amount of information about the location of the erroneous bits as code 3, it results in fewer soft information bits per data bit. The syndrome bits 222 are constructed so that none codes of the syndrome bits 222 is part of the beginning of another of the codes of the syndrome bits 222. To decode the stream of the syndrome bits 222, the decoder counts the number of received bits until the received sequence is equivalent to one of the codes of the syndrome bits 222. As it can be seen in Table 6, the reduced soft information bit transfer rate comes at the price of more decoding complexity.
It is understood that the tradeoff between encoder and decoder efficiency compared to bandwidth and energy efficiency is one that can be made between flash designers and LDPC decoder designers. As advances in semiconductor technology makes gates less expensive, it is likely that the transfer efficiency of the codes will become more important than simplicity of encoding and decoding.
By choosing longer codewords, such as N=10, or N=16, it is possible to create codes that are more efficient at the expense of having less accurate soft information. The loss of soft information accuracy causes the likelihood an uncorrectable sequence to increase. Ultimately, one can create more complex codes that convey more soft information to avoid increased probability of uncorrectable errors at the decoder output.
It has been discovered that the non-volatile memory system 100 can be configured to convey the syndrome bits 222 having a complexity that is suitable to the application requirements. In high reliability applications, more complex encoders and decoders can be used to convey increasingly accurate soft information to improve the reliability of the decoding process while minimizing the time and energy used during the LDPC iterative decode process. An approach to lessen the likelihood of the uncorrectable errors is to provide a programmable value of N allowing adjustment of the content of the syndrome bits 222 as necessary in the life cycle of the non-volatile memory system 100.
Referring now to
By utilizing the variable length of the syndrome bits 222, of the non-volatile memory system 100, the syndrome bits transfer 606 required for the LDPC iterative decode process can be between 6 and 10 micro-seconds. This can be favorably compared to the transfer of the total content of the soft information 218 which would take the same 45 microseconds of time and energy as the transfer 604 of the hard bits 212. An energy saving duration 608 can be between 35 and 39 microseconds. The efficiencies provided by the non-volatile memory system 100 can improve bandwidth and energy utilization while maintaining a robust error correction capability.
Referring now to
The resulting method, process, apparatus, device, product, and/or system is straightforward, cost-effective, uncomplicated, highly versatile, accurate, sensitive, and effective, and can be implemented by adapting known components for ready, efficient, and economical manufacturing, application, and utilization.
Another important aspect of the present invention is that it valuably supports and services the historical trend of reducing costs, simplifying systems, and increasing performance.
These and other valuable aspects of the present invention consequently further the state of the technology to at least the next level.
While the invention has been described in conjunction with a specific best mode, it is to be understood that many alternatives, modifications, and variations will be apparent to those skilled in the art in light of the aforegoing description. Accordingly, it is intended to embrace all such alternatives, modifications, and variations that fall within the scope of the included claims. All matters hithertofore set forth herein or shown in the accompanying drawings are to be interpreted in an illustrative and non-limiting sense.
This application claims the benefit of U.S. Provisional Patent Application Ser. No. 61/767,234 filed Feb. 20, 2013, which is incorporated herein by reference in its entirety.
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Number | Date | Country | |
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20140237315 A1 | Aug 2014 | US |
Number | Date | Country | |
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61767234 | Feb 2013 | US |