A double data rate memory physical interface having self checking loopback logic on-chip is disclosed. Disposed on the chip is a first linear feedback shift register, which is capable of generating a set of test data values that comprise at least two data bits. Also disposed on the chip is a second linear feedback shift register. The second linear feedback shift register is capable of generating a set of expected data values that match the test data values. Further, an internal loopback error check element is disposed on the chip. The internal loopback error check element is used to compare the set of expected data values with the set of test data values.

An apparatus is equipped with a storage device including an error correction circuit. The apparatus performs a test of the storage device according to a predetermined testing procedure, and records a time-point at which error correction of the storage device has been performed by the error correction circuit during performance of the test. The apparatus determines, with predetermined accuracy, a first position within the storage device on which the error correction has been performed, based on a test speed at which the test is performed, a time-period from the time-point to current time, and a second position within the storage device on which the test is being performed at the current time. Then, the apparatus performs the test predetermined times on a range included in the storage device and including the first position, according to a testing procedure that has been used at the time-point.

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.

A Test Wrapper and associated Test Access Mechanism (TAM) architecture for facilitating testing of IP blocks integrated on a System on a Chip (SoC). The TAM architecture includes a Test Controller and one or more Test Wrappers that are integrated on the SoC proximate to IP blocks. Test data and commands corresponding to input from an external tester are packaged by the Test Controller and sent to one or more Test Wrappers via an interconnect fabric. The Test Wrappers interface with one or more IP test ports to provide test data, control, and/or stimulus signals to the IP blocks to facilitate circuit-level testing of the IP blocks. Test results for the circuit-level tests are returned to the Test Controller via the fabric. Test Wrappers may be configured to pass through interconnect signals, enabling functional testing of IP blocks to be facilitated via test packages and test results transmitted between the Test Controller and the IP blocks via the fabric. Test wrappers may also be configured to test multiple IP blocks comprising a test partition.

In a wireless communication system, a compact control signaling scheme is provided for signaling the selected retransmission mode and codeword identifier for a codeword retransmission when one of a plurality of codewords being transmitted over two codeword pipes to a receiver fails the transmission and when the base station/transmitter switches from a higher order channel rank to a lower order channel rank, either by including one or more additional signaling bits in the control signal to identify the retransmitted codeword, or by re-using existing control signal information in a way that can be recognized by the subscriber station/receiver to identify the retransmitted codeword. With the compact control signal, the receiver is able to determine which codeword is being retransmitted and to determine the corresponding time-frequency resource allocation for the retransmitted codeword.

Method and apparatus for managing data in a memory. In accordance with some embodiments, a first data object and an associated first ECC data set are generated and stored in a non-volatile (NV) main memory responsive to a first set of data blocks having a selected logical address. A second data object and an associated second ECC data set are generated responsive to receipt of a second set of data blocks having the selected logical address. The second data object and the second ECC data set are subsequently stored in the in the NV main memory responsive to a mismatch between the first ECC data set and the second ECC data set.

Embodiments of the present invention relate to an apparatus, method, and/or sequence for a distributed ECC that may be used in a storage system. In another embodiment of the invention, an apparatus for handling distributed error correction code (ECC) operations, includes: a plurality of ECC engines configured to perform ECC operations in parallel on multiple data parts; the plurality of ECC engines distributed in parallel to receive some of the multiple data parts that are read from storage media devices and to receive some of the other multiple data parts that are to be written to the storage media devices; and the plurality of ECC engines configured to use respective ECC bytes corresponding to respective ones of the multiple data parts.

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.

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 of operating a memory controller to control a memory device includes reading a read vector from the memory device and correcting one or more errors in the read vector, where a power consumed at the correcting is varied according to the number of errors in the read vector.

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 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 for decoding and checking a tail-biting convolutional code is provided. The method fully utilizes structural features of the tail-biting convolutional code to re-sort Log-Likelihood Ratio (LLR) values input into a decoder, and by reconstructing a derivative generator polynomial of a convolutional code, allows the decoder to output in serial according to a normal ordering of information bits during backtracking, that is, a first bit of an information sequence is first decoded successfully. Thus, CRC checking may be activated as soon as possible, so that part of the backtracking process and the CRC checking may be performed in parallel, thereby achieving the objective of reducing a processing time delay in decoding and checking the tail-biting convolutional code.

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.

A method begins by a processing module obtaining common storage name information regarding data that is stored in storage units of a distributed storage network (DSN) as a set of data slices. Each data slice of the set of data slices has a unique storage name, where each of the unique storage names for the set of data slices has common naming information regarding the data. The method continues where the processing module interprets the common storage name information to determine whether a difference exists between the common naming information of a data slice of the set of data slices and the common naming information of other data slices of the set of data slices. When the difference exists, the method continues where the processing module indicates a potential storage error of the data slice and implements a storage error process regarding the potential storage error of the data slice.

The present disclosure relates to a method for detecting a parity error in a sequence of DQPSK symbols of a digital transmission system, comprising determining a first demodulated symbol r1; determining a second demodulated symbol r2; determining a first parity symbol p1; determining a second parity symbol p2; determining a super-parity symbol q1; and detecting a parity error in the sequence of DQPSK symbols by comparing a combination of the first parity symbol p1 and the second parity symbol p2 against the super-parity symbol q1, wherein a parity between two DQPSK symbols describes a phase difference between the two DQPSK symbols.

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.

It is provided a computer comprising a nonvolatile memory for storing data, a control processor for controlling the saving of data into the nonvolatile memory, and a battery for supplying power to the computer in case of a failure of an external power supply, wherein the control processor checks a charge amount stored in the battery, calculates an amount of data which can be saved in the nonvolatile memory by the battery in case of a failure of the external power supply based on the checked charge amount, and saves data excluding the amount of data that can be saved, out of data which should be saved into the nonvolatile memory, into the nonvolatile memory in advance.

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 present disclosure includes apparatus (e.g., computing systems, memory systems, controllers, etc.) and methods for providing data integrity. One or more methods can include, for example: receiving a number of sectors of data to be written to a number of memory devices; appending first metadata corresponding to the number of sectors and including first integrity data to the number of sectors, the first metadata has a particular format; generating second integrity data to be provided in second metadata, the second integrity data corresponding to at least one of the number of sectors (wherein the second metadata has a second format); and generating third integrity data to be provided in the second metadata, the third integrity data including error data corresponding to the second integrity data and the at least one of the number of sectors.

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.

Certain exemplary embodiments can provide a system, machine, device, manufacture, circuit, composition, and/or user interface adapted for and/or resulting from, and/or a method and/or machine-readable medium comprising machine-implementable instructions for, activities that can comprise and/or relate to, in a treatment zone, reacting an oxygen-comprising gas, one or more selected ferric/ferrous chelates, one or more selected nitrates and/or nitrites, and/or anaerobic wastewater.

An environmentally beneficial process for utilizing waste drill cuttings from oil and gas exploration. The waste drill cuttings (20) are used as a filler and combined with plastic to provide a plastic based product (26) in the plastics industry. In an embodiment the cuttings are thermally treated and formed into pellets. In a further embodiment the cuttings are treated and mixed with recycled plastic to be formed into pellets. The pellets are then used in the manufacture of rigid plastic products such as bollards, planters, benches and decking.

A method for vitrification of waste to reduce the formation of persistent secondary phases comprising separating at least one glass frit constituent from an initial glass frit to form a modified glass frit. The waste, modified glass frit, and the at least one glass frit constituent are mixed together with the modified glass frit and the at least one glass frit constituent being added as separate components. The resulting mixture is vitrified.

The present invention provides an efficient and low cost method for processing radioactively-contaminated water. The method for processing radioactively-contaminated water comprising a freeze concentration step of generating ice having lowered concentration of radioactive substance from radioactive substance containing contaminated water and concentrating the radioactive substances in the residual contaminated water by the interface progressive freeze concentration process. Preferably, the method further comprises a nitrogen substitution step of reducing dissolved oxygen in the contaminated water and adding nitrogen gas to the contaminated water, as a previous step of the freeze concentration step. Preferably, the radioactive substance is radioactive cesium.

A two step process for the destruction of a precursor material using a steam plasma in a three zone reactor wherein the precursor material is hydrolyzed as a first step in the high temperature zone of the reactor, followed by a second step of medium temperature oxidation of the reactant stream in the combustion zone of the reactor where combustion oxygen or air is injected and immediate quenching of the resulting gas stream to avoid the formation of unwanted by-products. A related apparatus includes a non transferred direct current steam plasma torch, an externally cooled three zone steam plasma reactor means for introducing the precursor material into the plasma plume of the plasma torch, means for introducing the combustion air or oxygen into the combustion zone, means for exiting the reactant mixture from the reactor and means for quenching the reactant mixture located at the exit end of the reactor.

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.

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.

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.

Method of stabilizing radium present in radium-containing effluent, in which the effluent and a metal chloride are mixed, then the previously obtained mixture is reacted with a sulfate ion to obtain effluent containing stabilized radium. The chloride can be a barium, strontium or lead chloride. The sulfate ion can be supplied by the addition of sulfuric acid, sulfuric anhydride, soluable sulfate or soluble sulfate salt. The method applies in particular to the treatment of solid radium-containing effluents or effluents containing substances in suspension coming from chemistry or metallurgy of zirconium or treatment of uranium-containing minerals.

Methods of capturing and immobilizing radioactive nuclei with metal fluorite-based inorganic materials are described. For example, a method of capturing and immobilizing radioactive nuclei includes flowing a gas stream through an exhaust apparatus. The exhaust apparatus includes a metal fluorite-based inorganic material. The gas stream includes a radioactive species. The radioactive species is removed from the gas stream by adsorbing the radioactive species to the metal fluorite-based inorganic material of the exhaust apparatus.

Containers and methods for disposing unused pharmaceutical product are disclosed. Each container (100, 200, 300) may include a container body (104, 204, 304) with an internal chamber (116, 216, 316) for storing pharmaceutical product, along with a cover (124, 224, 324) for selectively limiting access to the chamber (116, 216, 316). An encapsulation component (128, 228, 328) may be selectively disposable within the chamber (116, 216, 316), and may be operable to encapsulate the pharmaceutical product within the container (100, 200, 300). For instance, the encapsulation component (128, 228, 328) may melt and/or flow into contact with the pharmaceutical product and thereafter solidify to encapsulate the pharmaceutical product. The encapsulation component (128, 228, 328) may melt and thereafter solidify between the cover (124, 224, 324) and shell (104, 204, 304) to limit removal of the cover (124, 224, 324) from the shell (104, 204, 304).

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.

A process for encapsulating a radioactive object to render the object suitable for shipment and/or storage, and including the steps of preparing a plastic material, causing the plastic material to react with a foaming agent, generating a foaming plastic, encapsulating the radioactive object in the foaming plastic, and allowing the foaming plastic to solidify around the radioactive object to form an impervious coating.

Embodiments of this disclosure relate to tissue digestion and, more particularly, to methods and apparatuses for varying the number, size, and/or location of one or more tissue compartments within a digestive fluid vessel. Some examples include partitions that may be selectively positioned within a vessel (and may be selectively removable from the vessel) to create one or more tissue compartments. The partitions may be positioned, repositioned and rearranged within the vessel to form one or more tissue compartments. The partitions may be solid or include apertures, and may be oriented in horizontally and/or vertically. Alternate embodiments include one or more selectively closeable apertures that permit digestive fluid to circulate along alternate pathways, which can permit tissue digestion with reduced digestive fluid levels. Still further embodiments include baskets that are selectively positionable within the tissue digester. The baskets may also include one or more selectively positionable and/or repositionable partitions.

The invention provides a method and apparatus for creating plasma particles and applying the plasma particles to a liquid. Liquid feedstock (e.g., water and/or hydrocarbons mixed with biomass) is pumped through a pipeline; the single-phase stream is then transformed into a biphasic liquid-and-gas stream inside a chamber. The transformation is achieved by transitioning the stream from a high pressure zone to a lower-pressure zone. The pressure drop may occur when the stream further passes through a device for atomizing liquid. Inside the chamber, an electric field is generated with an intensity level that exceeds the threshold of breakdown voltage of the biphasic medium leading to a generation of a plasma state. Furthermore, the invention provides an energy-efficient highly adaptable and versatile method and apparatus for sanitizing water using plasma particles to inactivate biological agents contaminating water.

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.

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.

A method and device for limiting the degassing of tritiated waste issued from the nuclear industry are provided. The method reduces an amount of generated tritiated hydrogen (T2 or HT) and/or tritiated water (HTO or T2O) including at least one piece of tritiated waste from the nuclear industry. The method includes placing the package in contact with a mixture including manganese dioxide (MnO2) combined with a component that includes silver; and placing the package in contact with a molecular sieve.

A method and apparatus for distributing objects. In one embodiment, the method comprises computing a modulus operand based on a number of objects to be distributed and a number of objects pertaining to a first category; computing a modulus operation based on a number of distributed objects and the modulus operand; and distributing a first object or a second object based on a result of computing the modulus operation.

An acoustic apparatus including circuitry to correct for acoustic cross-coupling of acoustic drivers mounted in a common acoustic enclosure. A plurality of acoustic drivers are mounted in the acoustic enclosure so that motion of each of the acoustic drivers causes motion in each of the other acoustic drivers. A canceller cancels the motion of each of the acoustic drivers caused by motion of each of the other acoustic drivers. A cancellation adjuster cancels the motion of each of the acoustic drivers that may result from the operation of the canceller.

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.

A method for computer-implemented unit-conversion method, the method comprising identifying a first numerical value in a first system of units displayed on a computing device, converting the first numerical value in the first system of units into a second numerical value, and displaying the second numerical value and the second system of units on the computing device.

Disclosed is a processor that is able to efficiently execute DFT operations without having part of a basic operational circuit idle even during non-DFT-operation processing. The processor (1) has an operational means (operation unit) (2) and a control means (control unit) (3). The operation means (2) has a plurality of shift addition-and-subtraction means connected such that CORDIC (COordinate Rotation DIgital Computer) operations can be executed. The shift adding-and-subtracting means also execute shift addition-and-subtraction processing of butterfly operations that process shift addition-and-subtraction for one stage or more. The control means (3) instructs the operation means (2) to execute either CORDIC operations or butterfly operations, based on a plurality of data received from the outside.

Techniques for fast filtering for a transceiver are presented. A multidimensional filter processor component (MDFPC) can perform configurations and adaptations of multiple digital filters of a transceiver. The MDFPC can treat multiple, separate filters of a transceiver as a single larger multidimensional filter, and jointly update the multiple filters in a single adaptation operation instead of performing multiple adaptation operations on multiple filters. To facilitate multidimensional filter adaptation, the MDFPC can manage respective cross-correlations associated with the inputs of the filters. The MDFPC can facilitate multidimensional filter adaptation by performing multidimensional filter adaptation in the frequency domain, wherein the adaptation can be performed in parallel for multiple frequency sub-channels. For each frequency sub-channel, the MDFPC can perform a filter adaptation, wherein respective filter adaptation matrices can be generated for respective frequency sub-channels to perform the update to facilitate managing different cross-correlations associated with different frequency sub-channels.