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Polynomial patents



      
           
This page is updated frequently with new Polynomial-related patent applications. Subscribe to the Polynomial RSS feed to automatically get the update: related Polynomial RSS feeds. RSS updates for this page: Polynomial RSS RSS


Systems and methods for computing mathematical functions

Vivante

Systems and methods for computing mathematical functions

Information processing apparatus, image processing method, and program

Sony

Information processing apparatus, image processing method, and program

Information processing apparatus, image processing method, and program

Wisconsin Alumni Research Foundation

Dynamic predictor for articulated mechanisms

Date/App# patent app List of recent Polynomial-related patents
01/15/15
20150019604
 Function accelerator patent thumbnailFunction accelerator
A circuit and method for accelerating function evaluation. In one embodiment, a processor includes a function accelerator unit configured to evaluate a mathematical function.
Texas Instruments Deutschland Gmbh
01/08/15
20150012578
 Systems and methods for computing mathematical functions patent thumbnailSystems and methods for computing mathematical functions
Mathematical functions are computed in a single pipeline performing a polynomial approximation (e.g. A quadratic approximation, or the like); and one or more data tables corresponding to at least one of the rcp, sqrt, exp or log functions operable to be coupled to the single pipeline according to one or more opcodes; wherein the single pipeline is operable for computing at least one of rcp, sqrt, exp or log functions according to the one or more opcodes.
Vivante Corporation
01/08/15
20150010144
 Information processing apparatus, image processing method, and program patent thumbnailInformation processing apparatus, image processing method, and program
Provided is an information processing apparatus including a number acquisition unit configured to acquire a number used for a coefficient of each term constituting a set of a multi-order multivariate polynomial f=(f1, . .
Sony Corporation
01/01/15
20150005941
 Dynamic predictor for articulated mechanisms patent thumbnailDynamic predictor for articulated mechanisms
A dynamic predictor usable for rapid and accurate calculation of joint commands of an articulated dynamical mechanism describes the relationship between the joints in the form of a differential equation. The predictor solves this differential equation for predicted joint states by fitting a polynomial equation having free parameters describing the predicted joint states to the differential equations by minimizing the differential equation residuals.
Wisconsin Alumni Research Foundation
01/01/15
20150003502
 N-order noise shaper patent thumbnailN-order noise shaper
An n-order noise shaper has an order n≧3, wherein a first set of polynomial coefficients are optimized with respect to a useful band and wherein a second set of polynomial coefficients are optimized with respect to an optimization aim depending on an overall out of band noise and/or on a maximum out of band noise.. .
12/25/14
20140380062
 Information processing apparatus, image processing method, and program patent thumbnailInformation processing apparatus, image processing method, and program
Provided is an information processing apparatus including a number acquisition unit configured to acquire a number used for a coefficient of each term constituting a set of a multi-order multivariate polynomial f=(f1, . .
Sony Corporation
12/25/14
20140379176
 Method and  spacecraft attitude control using polynomial interpolation patent thumbnailMethod and spacecraft attitude control using polynomial interpolation
A method, apparatus and system is provided for reducing an amount of information transmitted to a vehicle in order to implement attitude control of the vehicle. In accordance with the present invention, data corresponding to at least one time-varying attitude command trajectory defining an attitude of the vehicle is reduced, for example, into a vector of polynomial coefficients.
12/25/14
20140378053
 Shaped load modulation in near field communications (nfc) device patent thumbnailShaped load modulation in near field communications (nfc) device
A method and apparatus is disclosed to compensate for overshoot and/or undershoot in a transmission sequence by shaping the transmission sequence according to a shaping envelope to lengthen its rise time and/or fall time to provide a modified transmission sequence. The shaping envelope may represent a trigonometric function, a polynomial function, a piecewise function or any other function that lengthens the rise time and/or the fall time of the transmission sequence.
Broadcom Corporation
12/18/14
20140372493
 System and  accelerating evaluation of functions patent thumbnailSystem and accelerating evaluation of functions
A system and method for accelerating evaluation of functions. In one embodiment, a method includes receiving, by a processor, a value to be processed, and notification of a function to be applied to the value.
Texas Instruments Deutschland Gmbh
12/18/14
20140372049
 Method and computerproduct for modeling the sound emission and propagation of systems over a wide frequency range patent thumbnailMethod and computerproduct for modeling the sound emission and propagation of systems over a wide frequency range
Prediction of emission by a source of sound and a propagation of the sound within a surrounding medium, over a frequency range is provided. A system including the source and the surrounding medium is represented by elements e.
12/11/14
20140362990

Link aggregator with universal packet scrambler apparatus and method


Apparatus and methods are presented for using configurable additive data scrambling or descrambling circuitry for multichannel link aggregators in which a scrambler or descrambler polynomial is specified by binary data in a programmable register, and the polynomial data is used to compute a polynomial matrix. A scrambler or descrambler pattern is computed according to the polynomial matrix, and input data is bitwise exclusive-ored with the computed scrambler or descrambler pattern to generate scrambled or descrambled output data.
12/04/14
20140359303

Secure original equipment manufacturer (oem) identifier for oem devices


An authorized information handling system (ihs) generates unique identifier codes for an oem (programmable) device designed as a component for an ihs. An identifier generation and validation (igv) controller in the authorized ihs generates a unique encrypted sequence by encrypting identification (id) data read from the oem device.
12/04/14
20140354639

Surface patch techniques for computational geometry


A method and system for computer aided design (cad) is disclosed for designing geometric objects, wherein interpolation and/or blending between such objects is performed while deformation data is being input. Thus, a designer obtains immediate feedback to input modifications without separately entering a command(s) for performing such deformations.
12/04/14
20140354627

Rendering a 3d shape


A method for rendering a three-dimensional (3d) shape, including: obtaining an electronic document (ed) specifying the 3d shape; generating a two-dimensional (2d) polygon by projecting the 3d shape onto a 2d plane; selecting multiple control points on a surface of the 3d shape; calculating multiple normal vectors orthogonal to the surface at the multiple control points; determining multiple coordinates by projecting the multiple control points onto the 2d plane; fitting a polynomial based on at least the multiple coordinates and the normal vectors; applying a 3d lighting effect to the 2d polygon based on the polynomial; and outputting the 2d polygon with the 3d lighting effect.. .
11/27/14
20140351491

Mapping between program states and data patterns


The present disclosure includes methods and apparatuses for mapping between program states and data patterns. One method includes: programming a group of g memory cells such that a combination of respective program states of the group maps to a constellation point corresponding to a received n unit data pattern, the group used to store n/g units of data per memory cell; wherein the constellation point is one of a number of constellation points of a constellation associated with mapping respective program state combinations of the group of memory cells to n unit data patterns; and wherein the constellation comprises a first mapping shell and a second mapping shell, the constellation points corresponding to the respective first and second mapping shells determined, at least partially, based on a polynomial expression of order equal to g..
11/27/14
20140348432

Image processing apparatus, image processing method and program


There is provided an image processing apparatus which calculates a feature value of an image. The apparatus comprises first obtaining means for obtaining an image; calculation means for calculating a set of numerical values formed from degrees of contributions of each of a plurality of order, wherein the degree of contributions of each order indicate contributions of monomials of the order for intensity values which are calculated using an approximation polynomial, and wherein the approximation polynomial provides a relationship between a pixel position of the image and an intensity value at the pixel position and is formed from a plurality of the monomials each having an order out of the plurality of orders; and first output means for outputting the set of the calculated numerical values as the feature value of the image..
11/27/14
20140348190

Method for designing laser-light-shaping optical component, producing laser-light-shaping optical component, and laser-light-shaping optical system


A method for designing an optical component for shaping laser light according to one embodiment of this invention measures the intensity distribution of an incident laser light, obtains the shapes in the short and long axial directions of a pair of aspheric lenses for each of the short and long axial directions of the incident laser light from the measured intensity distribution of the incident laser light and a desired intensity distribution, performs approximation of a high-order polynomial of the shapes in the short and long axial directions of the pair of aspheric lenses, corrects the high-order polynomials for the short or long axial directions using a correction factor, and obtains the shapes of the pair of aspheric lenses on the basis of the corrected high-order polynomials.. .
11/27/14
20140347126

Low complexity digital predistortion for concurrent multi-band transmitters


Systems and methods are disclosed for digital predistortion for a concurrent multi-band transmitter using a single adaptor and a same set of predistortion coefficients for separate digital predistorters for each band. In one embodiment, the single adaptor is configured to adaptively configure a set of predistortion coefficients based on a memory polynomial digital baseband model of the digital predistorters having a same set of predistortion coefficients for each of the digital predistorters.
11/20/14
20140344924

Preventing unauthorized calls to a protected function


An obfuscated program can be configured to resist attacks in which an attacker directly calls a non-entry function by verifying that an execution path to the function is an authorized execution path. To detect an unauthorized execution order, a secret value is embedded in each function along an authorized execution path.
11/20/14
20140343907

Method and system for building at least one aircraft guideline in an airport navigation network


This building method concerns building of at least one aircraft guideline in an airport navigation network. The navigation network includes a plurality of polygons and is associated with an airport area including taxiways, each guideline connecting two distinct sides of a corresponding polygon, the navigation network being configured to be stored in a memory of a computer system.
11/13/14
20140337403

Computing device, computing method, and computer program product


According to an embodiment, a computing device includes an input unit and a power computing unit. The input unit is configured to input, in a form of vector representation, an element of an algebraic torus selected from elements of an m-th (m is an integer of 2 or greater) degree extension field obtained by extending a finite filed by an m-th order polynomial.
11/13/14
20140336844

Third-order polynomial-based course prediction for driver assistance functions


Methods and systems for performing vehicle driver assistance. One method includes determining, at a controller, whether the vehicle is steering toward a drive-straight state and when the vehicle is steering toward the drive-straight state, calculating, at the controller, a predicted course trajectory using a third order polynomial.
11/13/14
20140334476

Method for transmitting data frame in wireless local area network and the same


A wireless device of transmitting a data frame in a wlan is provided. The wireless device includes: a mac unit generating a data frame; a phy unit transmitting a wireless signal of the data frame; and a processor being operably coupled to the mac unit and the phy unit and controlling a set of txvector parameters.
10/30/14
20140325304

Encoding method, encoder, and decoder


A low-density parity check convolution code (ldpc-cc) is made, and a signal sequence is sent after being subjected to an error-correcting encodement using the low-density parity check convolution code. In this case, a low-density parity check code of a time-variant period (3g) is created by linear operations of first to 3g-th (letter g designates a positive integer) parity check polynomials and input data..
10/30/14
20140325289

System, method and program for estimating risk of disaster in infrastructure


Method, system and computer program for estimating risk of a future disaster of an infrastructure. Times of previous, respective disasters of the infrastructure are identified.
10/23/14
20140317478

Configurable and low power encoder for cyclic error correction codes


A method for encoding includes receiving input data symbols to be encoded with an error correction code (ecc) so as to produce a code word of the ecc including redundancy symbols. The input data symbols are applied first and second processing stages, such that the first processing stage performs a first polynomial division by a fixed-coefficient polynomial with a first degree of parallelism, and the second processing stage performs a second polynomial division by a configurable-coefficient polynomial with a second degree of parallelism that is smaller than the first degree of parallelism, so as to jointly produce the redundancy symbols..
10/23/14
20140314230

Cryptography on an elliptical curve


A cryptographic calculation includes obtaining a point p(x,y) from a parameter t on an elliptical curve y2=f(x); and from polynomials x1(t), x2(t), x3(t) and u(t) satisfying: f(x1(t))·f(x2(t))·f(x3(t))=u(t)2 in fq, with q=3 mod 4. Firstly a value of the parameter t is obtained.
10/23/14
20140314229

Cryptography on a simplified elliptical curve


A cryptographic calculation includes obtaining a point p(x,y) from a parameter t on an elliptical curve y2=f(x) and from polynomials satisfying: −f(x1(t)).f(x2(t))=u(t)2 in the finite body fq, irrespective of the parameter t, q=3 mod 4. A value of the parameter t is obtained and the point p is determined by: (i) calculating x1=x1(t), x2=x2(t) and u=u(t); (ii) testing whether the term f(x−1) is a squared term in the finite body fq and, if so, calculating the square root of the term f(x1), the point p having x1 as abscissa and y1, the square root of the term f(x1), as ordinate; (iii) otherwise, calculating the square root of the term f(x2), the point p having x2, as abscissa and y2, the square root of the term f(x2), as ordinate.
10/23/14
20140314181

Non-linear modeling of a physical system using look-up table with polynomial interpolation


Methods and apparatus are provided for non-linear modeling of a physical system using look-up tables with polynomial interpolation. A non-linear function is evaluated for a complex input value by obtaining at least one look-up table with polynomial interpolation that represents the non-linear function, wherein entries in the look-up table comprise polynomial coefficients of at least degree two for different segments of the non-linear function; obtaining a point from the look-up table that is near a magnitude of the complex input value; and generating a complex output value by evaluating the polynomial coefficients at the point to perform a taylor series expansion from said point.
10/23/14
20140313946

Non-linear interference cancellation for wireless transceivers


Non-linear interference cancellation techniques are provided for wireless transceivers. Non-linear reduction of interference of a transmit signal on a received signal in a transceiver device, comprises applying the transmit signal to a first non-linear system; applying the received signal to a second non-linear system; and subtracting an output of the first non-linear system output from an output of second non-linear system output to produce an interference mitigated received signal.
10/16/14
20140310216

Method for generating compact representations of spike timing-dependent plasticity curves


A method generates compact representations of spike timing-dependent plasticity (stdp) curves. The method includes segmenting a set of data points into different sections.
10/09/14
20140304574

Signal segmentation method and crc attachment reducing undetected error


The present invention provides for applying a cyclic redundancy check (crc) to a data signal. The present invention includes attaching a first crc to a first data signal block having a first length, segmenting the first data signal block attached with the first crc into a plurality of second data signal blocks having a length shorter than the first length, respectively generating a second crc for each second data signal block, and attaching the generated second crc to the respective second data signal block.
10/02/14
20140291553

Charged particle beam writing acquiring dose modulation coefficient of charged particle beam


A apparatus includes a unit to operate a first dose of a beam corrected for a proximity effect for each of second mesh regions of a second mesh size obtained by dividing the first mesh size by a product of a natural number and a number of passes, by using a dose model using a dose threshold; a unit to operate a representative temperature rising due to heat transfer originating from irradiation of the beam by using a dose for an applicable pass of the first dose and a unit to operate a polynomial having a term obtained by multiplying a dose modulation coefficient based on the representative temperature by a pattern area density as an element, and a dose that makes a difference between a value obtained by operating the polynomial and the dose threshold within a tolerance is used.. .
09/18/14
20140282942

Privacy preserving knowledge and factor possession tests for persistent authentication


Example implementations described herein are directed to authentication based on the user's private factors, while not revealing at the server side information allowing the server (or anyone with the server's information) to deduce the private answers. In example implementations, the user answers a questionnaire with authentication factors, wherein the answers are transformed in a one-way fashion and the transformed answers are provided to the server side.
09/18/14
20140281839

Error and erasure decoding apparatus and method


Embodiments of apparatus and methods for decoding errors and erasures are described. A codeword may have errors and erasures.
09/18/14
20140281569

Biometric authentication method and computer system


A biometric authentication method for a computer system, the computer system comprising: a computer; and an authentication server, the biometric authentication method including steps of: extracting a first feature from the captured biometric information; generating a template polynomial for enrollment; extracting a second feature from the captured biometric information; generating a template polynomial for authentication; generating a correlation function for calculating a correlation between the template polynomial for authentication and the enrolled template polynomial; calculating a correlation value between the template polynomial for authentication and the enrolled template polynomial by using the generated correlation function, and determining based on the calculated correlation value whether or not the biometric information at the time of authentication coincides with the biometric information enrolled.. .
09/18/14
20140278301

System and generating a parallel processing approximation model


A parallel processing approximation model is automatically generated via a method including generating a time complexity search table including a plurality of columns and rows, each header of the column defining a polynomial which defines the algorithmic time complexity or overhead time complexity, and each row within the column defining the respective polynomial for a plurality of dataset divisions or size multiplications. The method further includes generating a comparison column and determining an approximation column having the highest algorithmic time complexity values that do not exceed the time complexity comparison column..
09/18/14
20140273902

Quadrature error correction using polynominal models in tone calibration


One example embodiment provides a system, apparatus, and method for using polynomial models in tone calibration for quadrature error correction in i/q receivers. In one example embodiment, method for calibrating an i/q receiver is provided and includes receiving a first mismatch parameter indicating a mismatch between i and q channels of the i/q receiver; and estimating a second mismatch parameter from the first mismatch parameter using a polynomial model..
09/18/14
20140269841

Ultra-wideband frequency position modulation using nonlinear compressed sensing


A frequency position modulation system for encoding signals for transmission. A signal's discrete frequency support is used to represent symbols.
09/11/14
20140258796

Determination of optimum threshold voltage to read data values in memory cells


An adaptive search scheme leads to threshold voltages that have lower bit error rates over initial values. An initial reference voltage is used and data is measured for set steps in voltage about the initial value sufficient to fit a polynomial curve.
09/11/14
20140254730

Reducing electromagnetic radiation emitted from high-speed interconnects


Systems and methods reduce electromagnetic interference from high speed data carried by wired interconnects with a radio receiver for at least one protected radio frequency band. A spectral encoder changes the encoding of the high speed data to modify its frequency spectrum and reduce its spectral in the protected frequency band.
09/11/14
20140254716

Power amplifier system including a composite digital predistorter


A power amplifier system including a composite digital predistorter (dpd) ensuring optimized linearity for the power amplifier is described. In this system, a digital-to-analog converter (dac), an analog filter, a first mixer, and the power amplifier are serially coupled to the composite dpd.
09/11/14
20140254640

De-correlating training pattern sequences between lanes in high-speed multi-lane links and interconnects


Methods, apparatus and systems for de-correlating training pattern sequences for high-speed links and interconnects. The high-speed links and interconnects employs multiple lanes in each direction for transmitting and receiving data, and may be physically implemented via signal paths in an inter-plane board such as a backplane or mid-plane, or via a cable.
09/11/14
20140253878

Ophthalmic systems and related methods


Systems and methods for modifying an eye including a light source with light elements, a photodetector producing a signal representing images of the light elements and corresponding to locations on an ocular surface, an optical system directing light from the light elements reflected by the ocular surface onto the photodetector, a memory including code for processing the signal, and a processor for executing the code and outputting shape data for use in calculating a treatment plan for the eye. The code includes instructions for determining the shape data based on a combination of zonal reconstruction and polynomial fitting using the plurality of images..
09/04/14
20140247174

Asynchronous to synchronous sampling using modified akima algorithm


A method, comprising: selecting two two-tuples before and two after a selected synchronous adc conversion point; calculating the coefficients of a third order polynomial based on the value of the previous time asynchronous sample, the time differences between each of the asynchronous samples surrounding the selected sample, and the three linear slopes of the line segments between the two points before and the points after the selected synchronous sample point, including the slope of the selected point; evaluating the third order polynomial at the synchronous time instant; generating the synchronous adc value based on this calculation; and using the adc value as the desired voltage level of the synchronous sample, wherein the synchronous adc value is generated based on this calculation.. .
09/04/14
20140247173

Asynchronous to synchronous sampling using akima algorithm


A method, comprising: selecting three two-tuples before and three after a selected synchronous adc conversion point; calculating the coefficients of a third order polynomial based on the value of the previous time asynchronous sample, the time difference between the asynchronous samples surrounding the selected sample, and the five linear slopes of the line segments between the three points before and the points after the selected synchronous sample point, including the slope of the selected point; evaluating the third order polynomial at the synchronous time instant; generating the synchronous adc value based on this calculation; and using the adc value as the desired voltage level of the synchronous sample, wherein the synchronous adc value is generated based on this calculation.. .
08/28/14
20140245101

Semiconductor memory


According to one embodiment, a semiconductor memory includes a memory cell unit, an encoding circuit that generates a first parity and a second parity for data, and a decoding circuit that performs error correction by using the data, the first parity, and the second parity, the first parity is generated by using a first generation polynomial for the data, the second parity is generated by using a second generation polynomial for the input data and the first parity, the second generation polynomial is selected based on the first generation polynomial, the data and the first parity is output to the outside, and the second parity is not output to the outside.. .
08/28/14
20140245099

Memory controller, storage device and memory control method


According to one embodiment, a memory controller includes an encoding unit that executes an error correction coding process on input-data and generates a code word, a calculation control unit that controls whether to execute a multiplication calculation of a multiplication circuit, and a memory interface unit that controls writing of the code word to the memory and reading of the code word from the memory, and the encoding unit includes a remainder circuit that performs a remainder calculation on the input-data using a first generator polynomial and generates a first code word having a first error correction capability and a first multiplication circuit that performs a multiplication calculation on the first code word using a second generator polynomial and performs a multiplication calculation of generating a second code word having a second error correction capability.. .
08/28/14
20140241407

Measurement of dc offsets in iq modulators


Described are systems and methods of determining dc offset voltages in iq modulators. First, two different dc test voltages are selected for one of the inputs to the iq modulator.
08/28/14
20140241384

Method of synchronizing a communication system


A method of synchronizing a time division duplex (tdd) multi-line, multi-carrier data communication system is provided. Synchronization is established using unique pseudo-random bit sequences (prbs) from a common generator polynomial having different seed values.
08/14/14
20140229807

Instruction-set architecture for programmable cyclic redundancy check (crc) computations


A method and apparatus to perform cyclic redundancy check (crc) operations on a data block using a plurality of different n-bit polynomials is provided. A flexible crc instruction performs a crc operation using a programmable n-bit polynomial.
08/14/14
20140229789

Ldpc design for high parallelism, low error floor, and simple encoding


A method of data encoding is disclosed. An encoder receives a set of information bits and performs an ldpc encoding operation on the set of information bits to produce a codeword based on a matched lifted ldpc code.
08/14/14
20140229741

Dual composite field advanced encryption standard memory encryption engine


A different set of polynomials may be selected for encryption and decryption accelerators. That is, different sets of polynomials are used for encryption and decryption, each set being chosen to use less area and deliver more power for a memory encryption engine.
08/14/14
20140229517

Automatic computer program obfuscation system


A computer program obfuscating system including a processor to provide a computer program including at least one computer program variable, and add an opaque predicate to the computer program to obfuscate the computer program so that the opaque predicate added to the computer program comprises at least one polynomial including a polynomial p, during execution of the obfuscated computer program, the polynomial p is evaluated yielding at least one result including a first result r1, and during execution of the obfuscated computer program, the opaque predicate is evaluated based on the at least one result r1 such that a decision as to whether or not to perform the first command is dependent upon comparing the first result r1 to at least one value in accordance with a predetermined mathematical relationship. Related apparatus and methods are also included..
08/14/14
20140226788

Method for the radiological investigation of an object


A method of identifying the material content of an object comprises: providing a radiation source and a radiation detector; irradiating a test object with radiation from the source; collecting at the detector system intensity data for radiation emergent from the test object; resolving the intensity data spectroscopically between a plural set of energy bands; numerically processing the spectroscopically resolved intensity data via the following steps: considering a material attenuation coefficient as a plural set of energy dependent polynomial equations in atomic number with a set of energy dependent coefficients across the said plural set of energy bands; determining a measured attenuation coefficient at each said energy band; calculating therefrom one or more orders of compound proton number and/or effective mass thickness and/or density and for example a compound proton number set comprising plural order powers and preferably plural higher order powers of weighted compound atomic number.. .
08/14/14
20140226231

Adaptive soft-output detector for magnetic tape read channels


In one embodiment, a method includes passing a signal through an adaptive noise whitening filter, wherein one or more noise whitening coefficients used in the noise whitening filter are updated using a noise whitening filter coefficient updater, wherein the noise whitening filter is configured to process the signal according to a transfer polynomial: w(d)=1−(p1d+ . .
08/14/14
20140226230

Adaptive soft-output detector for magnetic tape read channels


In one embodiment, a method includes passing a signal through a noise whitening filter, passing the signal through a soft detector to calculate first soft information, passing the signal through the soft decoder to calculate second soft information based on the first soft information, and sending the second soft information to the soft detector, wherein the noise whitening filter is configured to process the signal according to the following transfer polynomial: w(d)=1−(p1d+ . .
08/07/14
20140223193

Signature verification apparatus, signature verification method, program, and recording medium


A signature verification apparatus including a signature acquisition unit configured to acquire a digital signature including first information generated based on a pair of multi-order multivariate polynomials f=(f1, . .
08/07/14
20140222883

Math circuit for estimating a transcendental function


A math circuit for computing an estimate of a transcendental function is described. A lookup table storage circuit has stored therein several groups of binary values, where each group of values represents a respective coefficient of a first polynomial that estimates the function to a high precision.
08/07/14
20140219653

Modified orthogonal polynomials based hybrid coded-modulation for multi-tb/second optical transport


A system and method for transmitting data, including one or more low density parity check (ldpc) encoders configured to encode one or more streams of input data; a signal constellation generation module configured to generate one or more signal constellations; one or more modulators configured to generate one or more signals using hybrid multidimensional coded modulation; a modified orthogonal polynomial generation module configured to generate modified orthogonal polynomials for use as electrical basis functions; and one or more mode-multiplexers and transmitters configured to mode-multiplex and transmit one or more ldpc-coded data streams over a transmission medium.. .
08/07/14
20140218704

High na (numerical aperture) rectangular field euv catoptric projection optics using tilted and decentered zernike polynomial mirror surfaces


A catoptric system for euv lithography includes six freeform reflective surfaces that are specified based on fringe zernike polynomials. Each of the surfaces is tilted and/or decentered in a meridian plane and with respect to a common axis so that image and object planes are parallel.
07/31/14
20140215293

Transmission apparatus and transmission method


An encoding method and encoder of a time-varying ldpc-cc with high error correction performance are provided. In an encoding method of performing low density parity check convolutional coding (ldpc-cc) of a time varying period of q using a parity check polynomial of a coding rate of (n−1)/n (where n is an integer equal to or greater than 2), the time varying period of q is a prime number greater than 3, the method receiving an information sequence as input and encoding the information sequence using equation 1 as a g-th (g=0, 1, .
07/31/14
20140215222

Information processing apparatus, information processing method, and program


Provided an information processing apparatus including a number generation unit configured to generate numbers used in coefficients of terms included in a pair of multi-order multivariate polynomials f=(f1, . .
07/24/14
20140208110

Information processing apparatus, signature generation apparatus, signature verification apparatus, information processing method, signature generation method, and signature verification method


Provided is an information processing apparatus including a message generation unit configured to generate a message based on a pair of quadratic multivariate polynomials f=(f1, . .
07/24/14
20140205088

Information processing apparatus and information processing method


Provided is an information processing apparatus including a message generating unit that generates a message based on a multi-order multivariate polynomial set f=(f1, . .
07/24/14
20140205087

Information processing apparatus, information processing method, program, and recording medium


Provided is an information processing apparatus including a message generating unit that generates messages of n times (where n≧2) based on a multi-order multivariate polynomial set f=(f1, . .
07/24/14
20140204082

Systems and methods for 3d data based navigation using a watershed method


Systems and methods for 3d data based navigation using a watershed method are provided. In at least one embodiment, a method for segmenting three-dimensional frames of data comprises acquiring at least one frame from at least one sensor, wherein the at least one frame provides a three-dimensional description of an environment containing the at least one sensor; and identifying a surface in the at least one frame.
07/17/14
20140198864

Polynomial phases for multi-carrier modulation schemes with time domain windowing


In one aspect, a method includes performing a mapping on bits to form a complex data symbol, applying a frequency rotation mask to the complex data symbol based on a polynomial phase, performing an inverse discrete fourier transform (idft) after applying the frequency rotation mask, applying a time domain window after performing the idft, converting digital data to analog data after applying the time window and transmitting the analog data as an analog signal.. .
07/10/14
20140195881

Bose-chaudhuri-hocquenghem (bch) decoder


A decoder for decoding a set of bits encoded using a bose-chaudhuri-hocquenghem (bch) error-correcting code (ecc) includes a syndrome generator, a key equation solver, and an error bit locator. The syndrome generator receives the set of encoded bits and generates a set of syndromes.
07/10/14
20140195242

Prosody generation using syllable-centered polynomial representation of pitch contours


The present invention discloses a parametrical representation of prosody based on polynomial expansion coefficients of the pitch contour near the center of each syllable. The said syllable pitch expansion coefficients are generated from a recorded speech database, read from a number of sentences by a reference speaker.
07/10/14
20140195193

Displacement detecting device and scale


A scale has marks whose pitch interval changes along a measurement direction in a manner that can be approximated to a quadratic or higher-order polynomial. A comparing unit calculates a difference between first relative position information and second relative position information per unit displacement in a position where a first displacement detecting unit is arranged.


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Polynomial topics: Polynomial, Error Correction, Microscope, Optical Microscope, Calibration, Polynomial Time, Electronic Device, Square Function, Wireless Communication Device, Redundancy, Cyclic Error, Infinite Impulse Response, Finite Impulse Response, Memory Cells, Memory Cell

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