Method and generating harmonics using polynomial nonlinear functions A method and apparatus for generating harmonics using polynomial nonlinear functions. Polynomial functions are used to produce harmonics of an input signal up to a predetermined order, and that match a preferred set of characteristics. Tempo Semiconductor, Inc.

Sparse map for autonomous vehicle navigation A nontransitory computerreadable medium is provided. The computerreadable medium includes a sparse map for autonomous vehicle navigation along a road segment. Mobileye Vision Technologies Ltd.

Rolling process learning control device An instantaneous value of a learning coefficient is calculated based on a gap between a result value and a result recalculation value, and an update value of the learning coefficient is calculated from the instantaneous value. The calculated update value is recorded in a cell corresponding to present rolling conditions. Toshiba Mitsubishielectric Industrial Systems Corporation


Key agreement device and method An initiating keyagreement device (100) and a responding keyagreement device (200) are provided, configured to generate a symmetric key shared between them. The devices are configured for generating in electronic form a private random value (112, 212), obtaining in electronic form a public set of bivariate polynomials (122) and computing a univariate polynomial (124, 222) by summing the univariate polynomials obtained by substituting the private random value (112, 212) into the polynomials of the public set (122). Koninklijke Philips N.v.

Motion capture system that combines sensors with different measurement ranges Motion capture system with a motion capture element that uses two or more sensors to measure a single physical quantity, for example to obtain both wide measurement range and high measurement precision. For example, a system may combine a lowrange, high precision accelerometer having a range of −24 g to +24 g with a highrange accelerometer having a range of −400 g to +400 g. Blast Motion Inc.

Hybrid tablelookup algorithm for functions A method and system for approximating functions, including a function approximation repository, which includes a hybrid lookup table configured to store coefficients associated with polynomials in factored form (pffs), and a results store configured to store results. The system also includes a function approximation device that includes two processors, memory, an io module and a function approximation module, which includes functionality to receive a request to approximate the function for an argument; verify that the argument falls within a function interval; perform a determination to find a subinterval in which the argument falls; select a pff associated with the subinterval; obtain pff coefficients associated with the pff from the hybrid lookup table; evaluate the pff using the pff coefficients and the argument to obtain a result; store the result in the results store; and return the result as an answer to the requesting entity via the io module.. Oracle International Corporation

Apparatus, wireless batch calibration A wireless batch calibration apparatus, a wireless batch calibration system and a wireless batch calibration method. The wireless batch calibration apparatus includes a wireless transceiver, a processor circuit and a storage circuit. Industrial Technology Research Institute

Energy efficient polynomial kernel generation in fullduplex radio communication A polynomial kernel generator is configured to mitigate nonlinearity in a receiver path from a transmitter path comprising a nonlinear component in a communication device or system. The polynomial kernel generator operates to generate polynomial kernels that can be utilized to model the nonlinearity as a function of a piecewise polynomial approximation applied to a nonlinear function of the nonlinearity. Intel Corporation

Concept for encoding of information Wherein m is an order of the predictive polynomial a(z) and l is greater or equal to zero, wherein the converter is configured to obtain the frequency values by establishing a strictly real spectrum derived from p(z) and a strictly imaginary spectrum from q(z) and by identifying zeros of the strictly real spectrum derived from p(z) and the strictly imaginary spectrum derived from q(z).. .

Stress and temperature compensated hall sensor, and method An integrated semiconductor device for measuring a magnetic field, comprising: a hall sensor, a first lateral isotropic sensor having a first stress sensitivity and a first temperature sensitivity, a second lateral isotropic sensor having a second stress sensitivity and a second temperature sensitivity, optional amplifying means, digitization means; and calculation means configured for calculating a stress and temperature compensated hall value in the digital domain, based on a predefined formula which can be expressed as an nth order polynomial in only two parameters. These parameters may be obtained directly from the sensor elements, or they may be calculated from a set of two simultaneous equations. Melexis Technologies Sa

Circuitry and decomposable decoder Decoder circuitry for an input channel having a data rate, where a codeword on the input channel includes a plurality of symbols, includes options to provide a first output channel having that data rate, and a plurality of second output channels having slower data rates. The decoder circuitry includes syndrome calculation circuitry, polynomial calculation circuitry, and searchandcorrect circuitry. Altera Corporation 
Fingerprint template based on fuzzy feature point information and fingerprint identification method The present invention discloses a fingerprint template and a fingerprint identification method based on fuzzy feature point information. The fingerprint template contains several pieces of incomplete feature point information, including registration information and comparison information, wherein only coordinate information and attribute information of feature points and a value of a polynomial are recorded. 
Apparatus and generating bidirectional chirp signal by using phase accumulation polynomial The present invention relates to an apparatus and method for generating a bidirectional chirp signal by using a phase accumulation polynomial, and the apparatus for generating a bidirectional chirp signal according to an embodiment may include an extraction unit extracting time interval information from the output of a frequency accumulator, a polynomial handling unit applying the phase accumulation polynomial to the extracted time interval information to generate a polynomial output value, and a bidirectional chirp signal output unit outputting a bidirectional chirp signal on the basis of the generated polynomial output value.. . Korea Aerospace Research Institute 
Characterizing crude oil using laser induced ultraviolet fluorescence spectroscopy Embodiments of the present disclosure describe a method for determining a property of an uncharacterized crude oil sample using a polynomial equation correlating the property to a spectrum index and density of crude oil. The polynomial equation may include constants determined using a data fitting method and a data base of spectral data, density data, and standard properties data of a plurality of crude oils.. Saudi Arabian Oil Company 
System and hybrid wireless video transmission A system and method provides highquality video streaming in wireless video communications. The system includes a digital codec, an analog codec, and a power controller. Mitsubishi Electric Research Laboratories, Inc. 
Oneshot decoder for twoerrorcorrecting bch codes A decoder includes a syndrome generator for receiving a codeword and generating at least two syndromes based on the codeword, an error location polynomial generator for generating an errorlocation polynomial based on the syndromes, an error location determiner for determining at least one error location based on the errorlocation polynomial, and an error corrector for correcting the codeword based on the one error location. The error location polynomial generator includes a logic for receiving the syndromes and generating a combination of the syndromes as a combination of coefficients of the errorlocation polynomial, and a key equation solver for generating the errorlocation polynomial based on the combination of the coefficients and finding at least one root of the errorlocation polynomial. Sk Hynix Memory Solutions Inc. 
Serverassisted secure exponentiation In one embodiment, a method for secure computation, includes receiving in a server, over a communication channel from a device external to the server a request to perform a modular exponentiation operation in which an exponent of the operation comprises a secret value, wherein the secret value is not provided to the server, and at least two parameters that encode the secret value in accordance with a polynomial or matrix homomorphic encryption of the secret value computed by the device, and performing in the server, in response to the request, a homomorphic exponentiation using the at least two parameters received from the device without decrypting the secret value in the server, so as to generate an output that is indicative of a result of the modular exponentiation operation.. . Cisco Technology, Inc. 
Asymmetrical chaotic encryption Implementations and techniques for asymmetrical chaotic encryption are generally disclosed. One disclosed method for asymmetrical encryption includes determining a ciphertext control block from data, where the ciphertext control block is based at least in part on one or more chebyshev polynomials. Empire Technology Development Llc 
Cryptographic processing method and cryptographic processing device A computer generates a third encrypted polynomial that corresponds to a result of encrypting a third polynomial by use of a result of multiplying a first encrypted polynomial by a second encrypted polynomial, and outputs cryptographic information that represents the third encrypted polynomial. The first encrypted polynomial is a polynomial obtained by encrypting a first polynomial that corresponds to a first vector, and the second encrypted polynomial is a polynomial obtained by encrypting a second polynomial that corresponds to a second vector. Fujitsu Limited 

Ion beam scanner for an ion implanter A magnetic system for uniformly scanning an ion beam across a semiconductor wafer comprises a magnetic scanner having ac and dc coil windings each of which extend linearly along internal pole faces of a magnetic core. The ac and dc coil windings are mutually orthogonal; a time dependent magnetic component causes ion beam scanning whilst a substantially static (dc) field component allows the ion beam to be bent in an orthogonal plane. Nissin Ion Equipment Co., Ltd. 
Neural networks for encrypted data Embodiments described herein are directed to methods and systems for performing neural network computations on encrypted data. Encrypted data is received from a user. Microsoft Technology Licensing, Llc. 
Korschtype compact threemirror anastigmat telescope A threemirror anastigmat telescope comprises at least a concave first mirror, a convex second mirror and a concave third mirror, the three mirrors arranged so that the first mirror and the second mirror form, from an object at infinity, an intermediate image situated between the second mirror and the third mirror, the third mirror forming, from this intermediate image, a final image in the focal plane of the telescope. In the architecture of the telescope, at least the surface of the concave third mirror is a φpolynomial surface.. Thales 
Magnetic measurement system A magnetic measurement system includes a heart magnetic field sensor that measures a first magnetic field and a second magnetic field, a noise magnetic sensor that measures the second magnetic field, and a magnetic measurement apparatus that computes an approximate value of the second magnetic field in the heart magnetic field sensor by using a measurement value in the noise magnetic sensor and a multivariable polynomial. The magnetic measurement apparatus subtracts the approximate value of the second magnetic field from a measurement value in the heart magnetic field sensor.. Seiko Epson Corporation 
System and method hybrid quantumconventional architecture for wireless networks A hybrid quantumconventional computing system and method for analyzing band capture data and determining if a solution is an nphard problem or a polynomial time problem. The nphard problem is processed by a quantum computing system and the polynomial time problem is processed by a conventional computing system. Cable Television Laboratories, Inc. 
Lowpower partialparallel chien search architecture with polynomial degree reduction A device includes a controller, and the controller includes a root detection circuit having multiple sets of multipliers. A method includes configuring the root detection circuit according to a degree of a polynomial. Sandisk Technologies Inc. 
Quanton representation for emulating quantumlike computation on classical processors The quanton virtual machine approximates solutions to nphard problems in factorial spaces in polynomial time. The data representation and methods emulate quantum computing on classical hardware but also implement quantum computing if run on quantum hardware. Kyndi, Inc. 
System, apparatus, and measuring ion concentration with a standard deviation correction Embodiments of the inventive concept include a portable ion concentration apparatus including a controller, a storage section to store one or more data samples, an amplifier circuit, and a chemical field effect transistor (chemfet). The chemfet and the amplifier circuit can indicate a quantity of nitrate levels in a sample media or a reference media. Suprasensor Technologies, Llc 
Method and modeling of gnss pseudorange measurements for interpolation, extrapolation, reduction of measurement errors, and data compression polynomial regression models are used to reduce errors in measurements of pseudorange between a gnss satellite and a receiving station; for data compression by replacing a large number of measurements with a small number of coefficients of the model polynomial, optionally combined with modeling residuals; for extrapolating usefully accurate estimates of future range between the gnss satellite and the receiving station; and for providing usefully accurate estimates of future coefficient values of the polynomial regression models themselves.. . Subcarrier Systems Corporation 
Circuitry and methods for implementing galoisfield reduction Galoisfield reduction circuitry for reducing a galoisfield expansion value, using an irreducible polynomial, includes a plurality of memories, each for storing a respective value derived from the irreducible polynomial and a respective combination of expansion bit values, wherein expansion bits of the expansion value address the plurality of memories to output one or more of the respective values. The galoisfield reduction circuitry also includes exclusiveor circuitry for combining output of the plurality of memories with infield bits of said expansion value. Altera Corporation 

Subjective wavefront refraction using continuously adjustable wave plates of zernike function A wavefront device produces adjustable amplitudes in optical path differences and adjustable axis orientation angles. Two substantially identical wave plates have a wavefront profile of at least the third order zernike polynomial function which are not circularly symmetric, as denoted by z(i,j) where i≧3 and j≠0. 
Methods and devices for adaptive autonomous polynomial interpolation of time series data A method of performing maintenance. Data is received from a plurality of physical sensors that measure parameters of parts of the platform, wherein a data point is missing from the data. The Boeing Company 
System for sharing a cryptographic key A system (200) for configuring a network device (300) for sharing a key, the shared key being • bits long, the system comprising:—a key material obtainer (210) for—obtaining in electronic form a first private set of bivariate polynomials (252, {hacek over (z)}″(,)), and a second private set of reduction integers (254, f″), with each bivariate polynomial in the first set there is associated a reduction integer of the second set, and a public global reduction integer (256, . . Koninklijke Philips N.v. 
Nbase numbers to physical wire states symbols translation method System, methods and apparatus are described that facilitate a device to encode/decode data in a data communications interface coupled to a plurality of wires. The device determines a value of a sequence of data bits allocated to a frame, converts the value into a sequence of symbols associated with the frame, and transmits the sequence of symbols to a receiver. Qualcomm Incorporated 
Modulo calculation using polynomials Hardware logic arranged to perform modulo calculation with respect to a constant value b is described. The modulo calculation is based on a finite polynomial ring with polynomial coefficients in gf(2). Imagination Technologies Limited 
System and displaying weapon engagement feasibility Disclosed is a system and method for generating, in an aircraft (1) in flight, a display indicative of the feasibility of a weapon carried on the aircraft (1) successfully engaging a determined target (5, t) and/or the feasibility of a weapon carried on the target (5, t) successfully engaging the aircraft (1). The method comprises: using a performance envelope of the weapon and performance envelope(s) for one or more different types of aircraft (1), determining a further performance envelope specifying the performance of the weapon when carried by any of the different aircraft (1) types; determining coefficients for a generic polynomial that fit the generic polynomial to the further performance envelope; uploading, to the aircraft (1), the generated coefficients; and, on the aircraft (1), reconstructing the further performance envelope and generating the feasibility display.. Bae Systems Plc 
Memory controller, semiconductor memory device, and control semiconductor memory device A memory controller is a memory controller including an encoder that productcodes, with a linear code, data to be recorded in a memory section and a decoder that decodes productcoded data read out from the memory section. The encoder and the decoder share a parity generation circuit including a plurality of remainder calculating and retaining sections, each including a remainder calculation circuit by a generator polynomial and a retaining circuit that retains an output of the remainder calculation circuit.. Kabushiki Kaisha Toshiba 
Configurable multilane scrambler for flexible protocol support Various structures and methods are disclosed related to configurable scrambling circuitry. Embodiments can be configured to support one of a plurality of protocols. Altera Corporation 
Policybased key sharing Methods of providing policy based access to master keys, enabling keys to be distributed to groups of users in a secure manner while minimizing disruptions to the user in the event of changes to group membership or changes to user attributes. User attributes are identified. Oracle International Corporation 
Method for acquiring parameters of dynamic signal The application discloses a method for acquiring parameters of a dynamic signal, including: selecting a dynamic sample signal sequence of a power grid to constitute an autocorrelation matrix; determining an effective rank of the autocorrelation matrix and the number of frequency components of the dynamic sample signal sequence; establishing an ar model, and solving a model parameter of the ar model; determining an expression and a complex sequence of the dynamic sample signal sequence by using a prony algorithm, wherein the dynamic sample signal sequence is represented by the complex sequence with a minimum square error; and substituting a root of a characteristic polynomial corresponding to the model parameter into the complex sequence and solving various parameters of the dynamic sample signal sequence. In the application, with the idea of ar parameter model, a current signal is considered to be a linear combination of signals at previous time points.. Chongqing University 

Cryptographic processing device and cryptographic processing method A cryptographic processing device includes a processor that generates a first encrypted polynomial, a receiver that receives cryptographic information representing a fourth encrypted polynomial, and cryptographic information representing a second random number, the fourth encrypted polynomial including a first operation result that is a result of an operation of a fifth vector and a sixth vector, the first operation result being obtained by a second encrypted polynomial and a third encrypted polynomial, wherein the second encrypted polynomial is obtained based on the first encrypted polynomial, the second random number, and a second polynomial that corresponds to a third vector obtained by adding zero to the second vector, and the third encrypted polynomial is obtained based on the fifth vector obtained by adding zero to a fourth vector. The processor generates a second operation result that is a result of an operation of the second vector and the fourth vector.. Fujitsu Limited 
Radio frequency receiver capable of determining a noise estimate in case of received power unbalanced antennas and operating thereof The present application suggests a receiver and a method of operating thereof for determining a noise estimate based on a radio frequency signal from an interference source over different propagation paths through a plurality of antennas. A covariance matrix estimator coupled through separate processing paths to a respective one of the plurality of antennas is arranged to determine an estimate of a covariance matrix based on the received radio frequency signal. Freescale Semiconductor, Inc. 
Encoding method, decoding method An encoding method generates an encoded sequence by performing encoding of a given coding rate according to a predetermined parity check matrix. The predetermined parity check matrix is a first parity check matrix or a second parity check matrix. Sun Patent Trust 
Memory controller, memory system, and decoding method A memory controller includes: an encoder configured to generate a block product code which includes a first code and a second code as component codes, the first code and the second code being linear cyclic codes; a memory interface configured to write the block product code to a nonvolatile memory, and to read a received word from the nonvolatile memory; and a decoder configured to perform a decoding using a code constraint corresponding to a generator polynomial as a common divisor between a generator polynomial of the first code and a generator polynomial of the second code with respect to a symbol of an area which is not subjected to a code constraint of the first code but subjected to a code constraint of the second code.. . Kabushiki Kaisha Toshiba 
Behavioral model and predistorter for modeling and reducing nonlinear effects in power amplifiers The behavioral model and predistorter for modeling and reducing nonlinear effects in power amplifiers addresses the model size estimation problem. The gmp model is replaced by the hybrid memory polynomial/envelope memory polynomial (hmem) model within a twin nonlinear twobox structure to reduce the number of variables involved in the model size estimation problem, without compromising model accuracy and digital predistorter performance. King Fahd University Of Petroleum And Minerals 
Threedimensional positioning method A threedimensional positioning system includes establishing a geometric model for optical and radar sensors, obtaining rational function conversion coefficients, refining the rational function model and positioning threedimensional coordinates. The system calculates rational polynomial coefficients from a geometric model of optical and radar sensors, followed by refining a rational function model by determined ground control points and object image space intersection. National Central University 
Filter for network intrusion and virus detection Methods and apparatus to perform string matching for network packet inspection are disclosed. In some embodiments there is a set of string matching slice circuits, each slice circuit of the set being configured to perform string matching steps in parallel with other slice circuits. Intel Corporation 
Key sharing device and system for configuration thereof A method of configuring a network device for key sharing and a method for a first network device to determine a shared key are provided. The method of configuring uses a private private modulus, and a modulus (p1) a public modulus (n), and a bivariate polynomial (f1) having integer coefficients, the binary representation of the public modulus and the binary representation of the private modulus are the same in at least key length (b) consecutive bits. Koninklijke Philips N.v. 
Secondary synchronization codebook for eutran Providing for secondary synchronization encoding utilizing a primary synchronization channel (psch)related scrambling code is described herein. Scrambled secondary synchronization codes (sscs) can be assigned to multiple base stations of a radio access network (ran). Qualcomm Incorporated 