A facile synthesis of amphiphilic hyperbranched polymers consisting of poly(amic acid) and polyimide was developed via “A2+B3” approach from difunctional anhydride and trifunctional hydrophilic poly(oxyalkylene)triamine. Various amphiphilic hyperbranched poly(amic acid)s (HBPAAs) with terminal amine functionalities and amic acid structures were prepared through ring-opening polyaddition at room temperature, followed by thermal imidization process for the formation of hyperbranched polyimides (HBPIs), accordingly. The resulting HBPIs were analyzed by GPC, indicating the molecule weights of 5000˜7000 g/mol with a distribution of polydispersity between 2.0 and 3.8. The amine titration for HBPIs indicated the peripheral total-amine contents to be 8.32˜18.32 mequiv/g dependent on compositions.

Disclosed is an epoxy resin composition used for encapsulation of a semiconductor containing an epoxy resin (A), a curing agent (B), an inorganic filler (C) and a mold releasing agent, in which the mold releasing agent contains a compound (D) having a copolymer of an α-olefin having 28 to 60 carbon atoms and a maleic anhydride esterified with a long chain aliphatic alcohol having 10 to 25 carbon atoms.

A method, system and computer program product for intelligently responding to hardware failures so as to optimize system performance. An administrative server monitors the utilization of the hardware as well as the software components running on the hardware to assess a context of the software components running on the hardware. Upon detecting a hardware failure, the administrative server analyzes the hardware failure to determine the type of hardware failure and analyzes the properties of the workload running on the failed hardware. The administrative server then responds to the detected hardware failure based on various factors, including the type of the hardware failure, the properties of the workload running on the failed hardware and the context of the software running on the failed hardware. In this manner, by taking into consideration such factors in responding to the detected hardware failure, a more intelligent response is provided that optimizes system performance.

Aspects of the present invention provide a tool for analyzing and remediating an update-related failure. In an embodiment, a failure state of a computer system that has been arrived at as a result of an update is captured. A semantic diff that includes the difference between the failure state and at least one of an original state or a completion state is then computed. This semantic diff is transformed into a feature vector format. Then the transformed semantic diff is analyzed to determine a remediation for the update. Failure and/or resolution signatures can be constructed using the semantic diff and contextual data, and these signatures can be used in comparison and analysis of failures and resolutions.

A computing system resource recovery method can include identifying a resource manager associated with a computing transaction, classifying the computing transaction to determine a predetermined metric, measuring an actual metric of the computing transaction, comparing the predetermined metric to the actual metric to detect abnormal behavior in the transaction and modeling the abnormal behavior to determine how the resource manager is affected by the abnormal behavior.

An approach for introspection of a software component and generation of a conditional memory dump, a computing device executing an introspection program with respect to the software component is provided. An introspection system comprises one or more conditions for generating the conditional memory dump based on operations of the software component. In one aspect, a computing device detects, through an introspection program, whether the one or more conditions are satisfied by the software component based on information in an introspection analyzer of the introspection program. In addition, the computing device indicates, through the introspection program, if the one or more conditions are satisfied by the software component. In another aspect, responsive to the indication, the computing device generates the conditional memory dump through the introspection program.

A system, method and computer program product for avoiding a processing flaw in a computer processor triggered by a predetermined sequence of hardware events. The system may include a detecting unit and a power-on reset unit. The detecting unit detects that the predetermined sequence of hardware events is going to occur at the computer processor. The power-on reset unit initializes the computer processor to a state stored in computer memory in response to detecting the sequence of hardware events.

A method to prevent failure on a server computer due to internally and/or externally induced shock and/or vibration. The method includes acquiring, by at least one sensor, analog acceleration data of components in a server computer. The data is then converted to digital format and stored within a motor drive assembly processor memory unit. The processor analyzes the stored data for existence of machine degradation. In response to detecting the existence of machine degradation, the motor drive assembly processor initiates remediation procedures. The remediation procedures include controlling rotating speed of moving devices or performing a complete system shut down.

In one embodiment, a processor includes at least one functional block and banking logic. The banking logic may be to determine an average reliability metric associated with the at least one functional block. The banking logic may also be to, if the average reliability metric exceeds a required level, implement a reduced reliability mode in the at least one functional block, where the reduced reliability mode is associated with a reduction in the average reliability metric. Other embodiments are described and claimed.

Embodiments relate to a computer implemented information processing system, method and program product for data access. The information processing system includes a data store having a top tier store and at least another tier store with the top tier store including a counter for each entry of a symbol and another tier store including a representative frequency value defined for the another tier store. A sorter is also provided configured to sort the symbol in the top tier store and the another tier stores according to a value generated in the counter for the assessed symbol. The said sorter is also configured to restore entry of the symbol in the top tier store, in response to a symbol having moved from said top tier store to another tier store, by using the representative frequency value defined for said another store to which said symbol was moved.

Memory devices adapted to repair single unprogrammable cells during a program operation, and to repair columns containing unprogrammable cells during a subsequent erase operation. Programming of such memory devices includes determining that a single cell is unprogrammable and repairing the single cell, and repairing a column containing the single cell responsive to a subsequent erase operation.

Today many instances of IEEE 1149.1 Tap domains are included in integrated circuits (ICs). While all TAP domains may be serially connected on a scan path that is accessible external to the IC, it is generally preferred to have selectivity on which Tap domain or Tap domains are accessed. Therefore Tap domain selection circuitry may be included in ICs and placed in the scan path along with the Tap domains. Ideally, the Tap domain selection circuitry should only be present in the scan path when it is necessary to modify which Tap domains are selected in the scan path. The present disclosure describes a novel method and apparatus which allows the Tap domain selection circuitry to be removed from the scan path after it has been used to select Tap domains and to be replaced back into the scan path when it is necessary to select different Tap domains.

Within a radio communication network infrastructure transmitting data organized into a sequence of symbols to a receiving device over a plurality of radio links, data to be transmitted is encoded according to an error correction coding scheme in order to produce a set of systematic symbols and a set of corresponding redundancy symbols; the systematic symbols and a first subset of the corresponding redundancy symbols are transmitted, over a first radio link among said plurality of radio links, in broadcast mode, and a second subset of the corresponding redundancy symbols, distinct from the first one, is transmitted over a second radio link among said plurality of radio links.

A logical operations functional block for an execution unit of a processor includes a first input data link for a first operand and a second input data link for a second operand. The execution unit includes a register connected to an error correction code detection unit. The logical operations functional block includes a look-up table configured to receive an error correction code syndrome from the error correction code detection unit. The logical operations functional block also includes a multiplexer configured to receive an output signal from the look-up table at a first input and the first operand at a second input, wherein an output of the multiplexer is coupled to the first input data link of a logical functional unit.

Embodiments of apparatus and methods for error detection and correction are described. A codeword may have a data portion and associated check bits. In embodiments, one or more error detection modules may be configured to detect a plurality of error types in the codeword. One or more error correction modules coupled with the one or more error detection modules may be further configured to correct errors of the plurality of error types once they are detected by the one or more error detection modules. Other embodiments may be described and/or claimed.

Data is compressed using content addressable memory without disruption despite error using a plurality of content addressable memories to detect sequentially repeating data elements of the data. Compression information is generated for each sequence of repeating data elements that repeat for at least a compression threshold without any one of the plurality of content addressable memories generating an indication of an error for a matching content addressable memory entry. Individual data elements are output for each of the data elements that do not repeat for the compression threshold. Compression information is generated for each sequence of repeating data elements that repeat for at least the compression threshold and then generating a currently searched data element that matches the repeating data elements when any one of the plurality of content addressable memories generates an indication of an error for a content addressable memory entry that matches the currently searched data element.

A method includes determining a read threshold voltage corresponding to a group of storage elements in a non-volatile memory that includes a three-dimensional (3D) memory of a data storage device. The method also includes determining an error metric corresponding to data read from the group of storage elements using the read threshold voltage. The method includes comparing the read threshold voltage and the error metric to one or more criteria corresponding to a corrupting event.

Methods and systems for in-place updating original content stored in a non-volatile storage device and for yielding updated content. Some of the described embodiments illustrate the possibilities for reduction in storage operations, storage blocks, and/or update package size. Some of the described embodiments include the writing of error recovery result(s) such as XOR result(s) which enable the recovery of data in case of an interruption of the update process. In some of the described embodiments, there is re-usage of a protection buffer containing content which is required in the update process.

Embodiments of the present disclosure describe device, methods, computer-readable media and system configurations for decoding codewords using a side channel. In various embodiments, a memory controller may be configured to determine that m of n die of non-volatile memory (“NVM”) have failed iterative decoding. In various embodiments, the memory controller may be further configured to generate a side channel from n-m non-failed die and the m failed die other than a first failed die. In various embodiments, the memory controller may be further configured to reconstruct, using iterative decoding, a codeword stored on the first failed die of the m failed die based on the generated side channel and on soft input to an attempt to iteratively decode data stored on the first failed die. In various embodiments, the iterative decoding may include low-density parity-check decoding. Other embodiments may be described and/or claimed.

A packet transmission/reception apparatus and method is provided. The packet transmission method of the present invention includes acquiring a source payload including partial source symbols from a source block, generating a source packet including the source payload and an identifier (ID) of the source payload, generating a repair packet including a repair payload corresponding to the source payload and an ID of the repair payload, generating a Forward Error Correction (FEC) packet block including the source and repair packets, and transmitting the FEC packet block. The source payload ID includes a source payload sequence number incrementing by 1 per source packet. The packet transmission/reception method of the present invention is advantageous in improving error correction capability and network resource utilization efficiency.

The present inventions are related to systems and methods for data processing, and more particularly to systems and methods for variable rate coding in a data processing system.

The present invention discloses a method and apparatus for processing and error correction of a GFP-T superblock, where the 64 bytes of payload data of a first superblock are buffered in the first page of a two-page buffer. The flag byte is buffered in a separate buffer, and a CRC operation is performed in a separate logic element. The result of the CRC operation is checked against a single syndrome table which may indicate single- or multi-bit errors. As the payload data of the first superblock is processed and read out of the first page of the two-page buffer, the payload data of a second superblock is written into the second page of the two-page buffer to be processed and corrected.

A method is provided for receiving a signal. The method includes receiving a signal transmitted in a radio frequency (RF) band including at least one RF channel, demodulating the received signal, parsing a preamble of a signal frame including layer-1 information from the demodulated signal, deinterleaving bits of the layer-1 information, decoding the deinterleaved bits using an error correction decoding scheme including a shortening scheme and a puncturing scheme and obtaining physical layer pipes (PLPs) from the signal frame using the error-correction-decoded layer-1 information.

An error control encoding system produces a codeword from a data word, where the resulting codeword includes the data word and three or more parity segments produced using the data word. The system includes a first encoder to encode the data word in two or more first data segments in order to produce two or more first parity segments, where each of the two or more first data segments includes a respective sequential portion of the data word. The system includes a second encoder to encode the data word in one or more second data segments in order to produce a corresponding one or more second parity segments, where each of the one or more second data segments includes a respective sequential portion of the data word, and each of the one or more second data segments also includes a sequential portion of the data included in a plurality of the two or more first data segments. Further, the system includes a controller configured to provide the two or more first data segments of the data word to the first encoder for encoding and to provide the one or more second data segments of the data word to the second encoder for encoding.

A wireless communication system including a sender apparatus having a plurality of transmitting antennas that performs MIMO transmission of a plurality of data blocks; and a receiver apparatus that receives the plurality of data blocks. The sender apparatus transmits a process number via a control channel different from a data channel to the receiver apparatus, and wherein when the MIMO diversity transmission is performed, the receiver apparatus performs HARQ processing in the received data blocks based on not a process number which prevents the data blocks from competing but the received process number from the sender apparatus.

Example embodiments relate to a bad area managing method of a nonvolatile memory device. The nonvolatile memory device may include a plurality of memory blocks and each block may contain memory layers stacked on a substrate. According to example embodiments, a method includes accessing one of the memory blocks, judging whether the accessed memory block includes at least one memory layer containing a bad memory cell. If a bad memory cell is detected, the method may further include configuring the memory device to treat the at least one memory layer of the accessed memory block as a bad area.

The invention relates to a hardenable dental composition comprising component (A) comprising a cationically hardenable compound, component (B) comprising an initiator being able to initiate the hardening reaction of the cationically hardenable compound, and component (C) comprising a filler, wherein the filler comprises a filler body and a filler surface, the filler surface comprising side groups with polar moieties. The invention also relates to a process of producing the dental composition, to the use of the dental composition as dental impression material and to a method of taking an impression of dental tissue.

The invention relates to the treatment of carbonaceous radioactive waste, comprising the delivery of waste to one or more radioactive isotope separation stations isotopes, said isotopes being among at least carbon 14, chlorine 36, and tritium. Advantageously, the delivery to each of the stations occurs in wet form, with water being a common medium for conveying the waste to each of the separation stations.

A method is provided for the decontamination of radioactive carbonaceous material, such as graphite, in which an injection of steam is planned into the material, concurrent with a first roasting thermal treatment of the material at a temperature between 1200° C. and 1500° C. Advantageously, the first treatment may be followed by a second treatment at a lower temperature with an injection of carbon oxide for oxidation according to the Boudouard reaction.

Method of extracting syngas between the zone in a furnace where oxygen-starved combustion of biomass occurs and the zone in the furnace where secondary air is added to complete combustion, conditioning and cleaning the extracted syngas, and delivering it in a metered amount to the oxidizer or upstream of the oxidizer to reduce or eliminate the need for additional fossil fuels once the oxidizer has achieved its operating temperature. The gasifier or furnace burns solid waste and produces a syngas containing relatively high levels of CO, which is extracted from the furnace, conditioned, and introduced into an RTO as a fuel source. In certain embodiments, no extraction of syngas from the furnace takes place; the furnace conditions are manipulated so that normally undesirable levels of CO and other VOC's remain in the process stream. The heat from the furnace is used as intended (e.g., to heat a dryer), the stream is conditioned, and ultimately proceeds to a downstream RTO. Since the gas stream remains rich in CO and VOC's, its fuel value in the RTO is substantially higher than otherwise would be the case.

An apparatus and method for the granulation of radioactive waste in which a preprocessing method for the vitrification of radioactive waste is simplified to conform to onsite conditions of a nuclear power plant, additives are improved, and pellets suitable for vitrification are manufactured. The apparatus for the granulation of radioactive waste includes: a body frame having an inlet and an outlet; a hopper supplying the radioactive waste to be transferred and fed through the inlet; a feeder transferring/supplying the radioactive waste supplied to a specific position and in a certain quantity; a stirrer pulverizing/mixing lumps of the radioactive waste supplied; an additive supply part supplying a lubricant to the radioactive waste fed into the stirrer; and a pellet press pressing the radioactive waste fed through the feeder into a pellet shape and discharging the pellet through the outlet.

The present invention relates to a process for the treatment of hazardous waste, the process comprising: (i) providing a hazardous waste; (ii) providing a further waste; (iii) plasma treating the hazardous waste in a first plasma treatment unit, (iv) gasifying the further waste in a gasification unit to produce an offgas and a char material; and (v) plasma treating the offgas, and optionally the char material, in a second plasma treatment unit to produce a syngas, (vi) optionally treating the syngas in a gas cleaning plant, wherein the first plasma treatment unit is arranged to plasma treat at least some of the solid by-products from the gasification unit and/or the second plasma treatment unit and/or the gas cleaning plant.

The present invention intends to provide a method for removing radioactive cesium, or radioactive iodine and radioactive cesium that is simple and low-cost, further does not require an energy source such as electricity, moreover can take in and stably immobilize the removed radioactive substances within a solid, and can reduce the volume of radioactive waste as necessary, and to provide a hydrophilic resin composition using for the method for removing radioactive cesium, or radioactive iodine and radioactive cesium, and the object of the present invention is achieved by using a hydrophilic resin composition containing: at least one hydrophilic resin selected from the group consisting of a hydrophilic polyurethane resin, a hydrophilic polyurea resin, and a hydrophilic polyurethane-polyurea resin each having at least a hydrophilic segment; and a zeolite dispersed therein in a ratio of at least 1 to 200 mass parts relative to 100 mass parts of the hydrophilic resin.

A method of preparing a simple ceramic ingot of a spent filter having radioactive cesium trapped therein, and a ceramic ingot of a spent filter having improved properties such as leach resistance, thermal stability, and cesium content are provided. The method includes grinding and mixing a spent filter having cesium trapped therein, adding a solidifying agent, and sintering the spent filter. The method of preparing a ceramic ingot of a spent filter can be useful in preparing the ceramic ingot of the spent filter from only the spent filter by means of simple grinding and sintering, and in preparing the ceramic ingot of the spent filter by adding a small amount of a solidifying agent. The ceramic ingot of the spent filter has a high density and improved thermal stability, and shows improved leach resistance since a leach rate of a radioactive material is remarkably low. Therefore, the spent filter having radioactive cesium trapped therein can be effectively used to prepare a stable ceramic ingot.

A continuous process for the thermal treatment of a refinery sludge, comprising the following operations: a. drying of the refinery sludge, possibly mixed with pet-coke, at a temperature ranging from 110 to 120° C.; b. gasification of the dried sludge, at a temperature ranging from 750 to 950° C., for a time of 30 to 60 minutes, in the presence of a gas containing oxygen and water vapour, with the associated production of synthesis gas (CO+H2) and a solid residue; c. combustion of the synthesis gas at a temperature ranging from 850 to 1,200° C. and recycling of the combustion products for the drying and gasification phases; and d. inertization of the solid residue, at a temperature ranging from 1,300 to 1,500° C., by vitrification with plasma torches.

An organic synthesis of materials to achieve removal of low molecular weight ionic species, such as transition metal ions including cobalt, iron, nickel, and zinc, from aqueous solutions. The synthesis includes the steps of providing a cation exchange resin, functionalizing the cation exchange resin using a chloride intermediate to form a sulfonyl chloride resin, and reacting a multi-amine based ligand with the sulfonyl chloride resin to form a sequestration resin. The synthesis further includes the steps of cooling the sequestration resin, and washing and drying the sequestration resin.

An exemplary system for treatment and disposal of pharmaceutical waste comprises a sealable pail, a stirring device, a sealable bag, a container, an acidic substance, and a denaturant. The sealable pail receives the pharmaceutical waste and the acidic substance. The acidic substance dissolves the pharmaceutical waste, and the stirring device stirs the acidic substance to ensure that the pharmaceutical waste is completely dissolved. The denaturant is added to the dissolved pharmaceutical waste and renders the dissolved pharmaceutical waste safe for transport. The treated pharmaceutical waste is sealed within the sealable pail, and the sealable bag receives the sealed pail and is sealed. The sealed bag is then placed in the container for transport to a disposal facility.

An apparatus for recovering valuable elements is provided herein. In some embodiments, the apparatus having a conveyor; a container configured to be moved on the conveyor, wherein the container has an open surface; a paper package which contains a mixture containing valuable elements, the paper package being configured to be disposed in the container and to be combusted; a cover that covers the open surface of the container, the cover having an opening for discharging valuable elements vaporized from the mixture; a microwave oven through which the container having the cover and the paper package passes, wherein the microwave oven having a microwave generator and a discharging opening for discharging the valuable elements vaporized from the mixture; and a condenser coupled to the discharge opening, wherein the condenser recovers the valuable elements vaporized from the mixture.

Techniques for disposing of one or more toxic materials, such as coal waste (e.g., fly ash, sludge, etc.), include incorporating the toxic materials into artificial feldspar or forming artificial feldspar from the toxic material(s). The artificial feldspar may be used to form an artificial aggregate, which may be used in a construction material, as road base, as a fill material or for any other suitable purpose. Artificial aggregates that are formed from toxic materials are also disclosed, as are construction materials that include such artificial aggregates.

Methods for converting toxic waste, including nuclear waste, to quasi-natural or artificial feldspar minerals are disclosed. The disclosed methods may include converting, chemically binding, sequestering and incorporating the toxic waste into quasi-natural or artificial Feldspar minerals. The quasi-natural or artificial feldspar minerals may be configured to match naturally occurring materials at a selected disposal site. Methods for the immediate, long term, quasi-permanent disposal or storage of quasi natural or artificial feldspar materials are also disclosed.

A method and apparatus for the stabilization and safe removal of buried waste that is tested and classified as being transuranic or not transuranic waste and disposed accordingly. The buried waste (usually in vertical pipe units) is enclosed in a casing and ground and mixed with the surrounding soil. This process allows for chemical reactions to occur that stabilizes the mixture. The entire process is contained within the casing to avoid contamination. In situ or external testing is done for radio isotopes to classify the waste. If it is classified as transuranic the waste is removed in a controlled way into a retrieval enclosure and disposed off in drums. If the waste is not transuranic then grout is introduced into the mixture, allowed to set and the resulting monolith is removed and buried in trenches.

A treatment system and a method for removal of at least one halogenated compound, such as PCBs, found in contaminated systems are provided. The treatment system includes a polymer blanket for receiving at least one non-polar solvent. The halogenated compound permeates into or through a wall of the polymer blanket where it is solubilized with at least one non-polar solvent received by said polymer blanket forming a halogenated solvent mixture. This treatment system and method provides for the in situ removal of halogenated compounds from the contaminated system. In one embodiment, the halogenated solvent mixture is subjected to subsequent processes which destroy and/or degrade the halogenated compound.

The present invention relates to a subsurface refuse collection system comprising an underground bunker (4), a refuse container (3), a deposit bin (1) and a cover (2) with automatic opening and closing which can be powered electrically using a solar system. The container (3) is collected by means of an automated crane (18) with automatic hitching to facilitate collection. The system is equipped with multiple devices to measure volume and weight of the refuse deposited in the deposit bin (1), for the purpose of system monitoring or improvements to the management of truck routes. It also includes a safety device to prevent accidental fails into the underground bunker during collection.

A treatment process of persistent organic pollutants contained in particles is provided. Said process includes reacting persistent organic pollutant in particles under hydrothermal conditions in the presence of Fe2+ and Fe3+. Several beneficial effects can be achieved, including 1) no other additive is needed during the reaction process; 2) Fe2+ and Fe3+ are safe, cheap and extensive sources; 3) because Fe2+ and Fe3+ are dissolved, they can fully disperse into particles, and fully contact can be achieved, thus obtaining a decomposition rate no less than 70% of the persistent organic pollutants is under subcritical conditions.

An embodiment of the present invention relates to a method for treating spent caustic soda generated from an oil refinery process, a petrochemical process, etc. through a process in which a series of treatment steps are integrated, wherein the method can constitute a process under mild conditions excluding high temperature and/or high pressure conditions and can be advantageous to a post treatment process since the amount of by-products is small.

The cost relating to a reduction in volume and storage of a waste resin including a radioactive nuclide is reduced. In an aspect of the invention, a volume reduction processing system 1000 is provided. The volume reduction processing system 1000 includes a radioactivity meter 102 that measures the radioactivity of a processing target resin, a volume reduction processing device 110 that carries out a heating process, and an oxidation process using oxygen plasma P on the processing target resin, and a process stopping point computation unit 180 that determines a process stopping point for carrying out a volume reduction process on the processing target resin with the volume reduction processing device as far as a volume reduction target value. The volume reduction processing device 110 stops at least one process of the heating process and oxidation process on the process stopping point being reached.

Efficient computation of complex multiplication results and very efficient fast Fourier transforms (FFTs) are provided. A parallel array VLIW digital signal processor is employed along with specialized complex multiplication instructions and communication operations between the processing elements which are overlapped with computation to provide very high performance operation. Successive iterations of a loop of tightly packed VLIWs are used allowing the complex multiplication pipeline hardware to be efficiently used. In addition, efficient techniques for supporting combined multiply accumulate operations are described.

Systems and methods are provided for generating at least one high fidelity resource state. A classical code and punctured to provide a first set of generators and a second set of generators. The first set of generators is mapped to a set of stabilizer generators, and the second set of generators is mapped to a set of logical operators. A set of resource states are prepared in physical qubits. A decoding process is performed on the resource states according to a quantum code represented by the set of stabilizer generators and the set of logical operators, and qubits corresponding to the stabilizers are measured.

The present technique relates to a reception device and a reception method which can improve equalization performance. An equalization processing unit has a time domain equalization unit which equalizes a received signal in a time domain and a frequency domain equalization unit which is provided in parallel to the time domain equalization unit and which equalizes the received signal in a frequency domain, and performs control of switching between the time domain equalization unit and the frequency domain equalization unit. The present technique can be applied to, for example, equalize a signal of data transmitted by way of single carrier transmission or data transmitted by way of multicarrier transmission.

Apparatus comprising an input connected to receive an input signal, a lookup table comprising a plurality of input entries and first and second output entries for each input entry. The look up table receives the input signal and returns a lower input entry, an upper input entry, the second output entry for the lower input entry, and the first output entry for the upper input entry. A first subtractor subtracts the lower input entry from the input signal to produce a first difference. A second subtractor subtracts the input signal from the upper input entry to produce a second difference. First and second multipliers multiply the first and second differences by the first output entry for the upper input entry and the second output entry for the lower input entry, respectively, to produce first and second products. An adder adds the first and second products to produce an output signal.